The ratio of the weight of an object on Mars to its weight on Earth is 9 to 25. If a person weighs 120 pounds on Earth, how much would the person weigh on Mars?

Answers

Answer 1

Answer:

Wm = 43.2 pounds

Step-by-step explanation:

If the ratio of the weight of an object on Mars to its weight on Earth is 9 to 25, this means that what on Mars weighs 9 units on earth weighs 25 units, therefore:

Data

ratio = 9/25

Weight on Mars (Wm) = ?

Weight on Earth (We) = 120 pound

Wm = (9/25)*120 pound = 43.2 pounds

Answer 2
Since the ratio of the object on Mars to Earth is 9:25 (or can be written as 9/25), it is indicated already that the person whom is 120 pounds, weighs far less on mars. Therefore, to figure out their weight, multiply the given ratio, 9/25, to 120, which will give you the answer of 43.2 pounds.

Related Questions

The cost of renting a car is $24.50 plus $11 per day. Sales tax is 7%. A car was rented for a total cost of $108.61. Which equation can be used to determine the number of days d the car was rented?

Answers

Answer:

Step-by-step explanation:

(24.50+11 d)*(107/100)=108.61

24.50×107+1177 d=10861

1177 d=10861-24.50×107

=10861-2621.50

=8239.50

d≈7 days

Final answer:

The equation that can be used to determine the number of days d the car was rented is: $108.61 = $24.50 + ($11 * Number of days). By solving this equation, we find that the car was rented for 7 days.

Explanation:

To determine the number of days the car was rented, we can use the equation:

Total cost = Cost of renting a car + (Cost per day * Number of days)

In this case, the cost of renting a car is $24.50 and the cost per day is $11. The sales tax is 7%.

The equation becomes:

$108.61 = $24.50 + ($11 * Number of days)

Now, we can solve for the number of days:

Subtract $24.50 from both sides of the equation: $108.61 - $24.50 = $11 * Number of days

Calculate the difference: $84.11 = $11 * Number of days

Divide both sides of the equation by $11: Number of days = $84.11 / $11

Round the result to the nearest whole number: Number of days = 7

A small business averages $5,500 per month in online revenue, plus another $300 per salesperson per month. Which graph shows all solutions for the number of salespeople who need to be working for the business to generate at least $7,300 in monthly revenue?

Answers

Answer:

Step-by-step explanation:

7,300 = 5,500 + 300x

7,300 - 5,500 = 300x

1,800 = 300x

x = 6

Answer:

greater than or equal to 6

Step-by-step explanation:

i just took the plato test

PLEASE HELP PLEASE PLEASE DUE TONIGHT I HAVE NO IDEA HOW TO DO THIS

Answers

Answer:

I feel bad for you I really would like to help you but I haven't even learn that stuff yet

having trouble with this and 3 other problems

Answers

Answer:

a.) 10

b.) -2

c.) 6

d.) y = 6

e.) T = π

f.) y = -6cos(2t) + 4

Step-by-step explanation:

a.) Max value is the highest value in the y-axis. It peaks at y=10

b.) Min value is the lowest value in the y-axis. Peaks at y=-2

c.) Amplitude is how high the peak is from the midpoint. It could be found by taking the average of the peaks. (10 - (-2))/2 = 6

d.) y = 6

e.) T = π

f.) General equation for a sinusoidal wave is

y = Acos(ωt - Ф) + k

y = Acos((2π/T)t - Ф) + k

The graph started at it's min, so the amplitude must had been fliped upsidedown because it normally starts at the max. Therefore I must make my equation negative to flip it.

y = -Acos((2π/T)t - Ф) + k

A = amplitude = 6T = period = πФ = phaseshift = 0k = shift_in_y_direction = 4 , because shifting from -6 to -2 is shifting 4 units up

y = -(6)cos((2π/(π))t - (0)) + (4)

y = -6cos(2t) + 4

The manufacturer of a CD player has found that the revenue R​ (in dollars) is Upper R (p )equals negative 5 p squared plus 1 comma 550 p comma when the unit price is p dollars. If the manufacturer sets the price p to maximize​ revenue, what is the maximum revenue to the nearest whole​ dollar? A. ​$961 comma 000

Answers

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

[tex]R(p) = -5p^2 + 1550p[/tex]

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

[tex]\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550[/tex]

Equating the first derivative to zero, we get,

[tex]\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155[/tex]

Again differentiation R(p), with respect to p, we get,

[tex]\dfrac{d^2(R(p))}{dp^2} = -10[/tex]

At p = 155

[tex]\dfrac{d^2(R(p))}{dp^2} < 0[/tex]

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

[tex]R(155) = -5(155)^2 + 1550(155) = 120125[/tex]

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

Jeanine owes $1,200 on a credit card. The cars charges 16% interest, compounded continuously. Write a formula that describes how much you knew on her card after t years, assuming she makes no payments and does not incur any additional charges.

Answers

The letter e is used for continuous compound, it is raised by the interest rate times the amount of time.

The formula would be 1200e^0.16t

The answer is C

The following equation has denominators that contain variables. For this equation write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. Keeping the restrictions in mind, solve the equation.
2/x=4/5x+2
x=

Answers

Answer:

X = 3/5

Step-by-step explanation:

2/x=4/5x+2

Find the LCM of the denominator 5x and 1

2/x =4/5x + 2/1

2/x = (4 + 10x)/5x

Cross multiply the equation

2× 5x = (4+ 10x) × x

10x = 4x + 10x^2

Collect like term of the mixed number

10x - 4x = 10x^2

6x = 10x^2

Divide both side by 2x

6x/2x = {10x^2 } / 2x

3 = 5x

Divide both side by the coefficient of x

3/5 = 5x/5

X = 3/5

What is the distance between (-3, 2) and (3, -8)?

Answers

Final answer:

The distance between (-3, 2) and (3, -8) is approximately 11.66.

Explanation:

To find the distance between two points, we can use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, (-3, 2) can be denoted as (x1, y1) and (3, -8) can be denoted as (x2, y2). Substituting these values in the formula:

d = sqrt((3 - (-3))^2 + (-8 - 2)^2)

d = sqrt(6^2 + (-10)^2)

d = sqrt(36 + 100) = sqrt(136)

The distance between (-3, 2) and (3, -8) is approximately 11.66.

Final answer:

To calculate the distance between (-3, 2) and (3, -8), one must find the differences in both the x and y coordinates, square these differences, sum them, and take the square root of this sum, which yields approximately 11.66.

Explanation:

To find the distance between the points (-3, 2) and (3, -8), we use the Pythagorean Theorem. The distance d is calculated as the square root of the sum of the squares of the difference in the x-coordinates and the y-coordinates.

First, find the differences:
Δx = [tex]x_2 - x_1[/tex] = 3 - (-3) = 6
Δy = [tex]y_2 - y_1[/tex] = -8 - 2 = -10

Then calculate the distance squared:
d² = (Δx)² + (Δy)²
d² = (6)² + (-10)²
d² = 36 + 100
d² = 136

Take the square root of the distance squared to find the distance:
d = [tex]\sqrt{136}[/tex]
d ≈ 11.66

Alex has a truck. 42% of the miles he drove last month were for work. If Alex drove 588 miles for work, how many miles did he drive last month all together? A) 1,200 B) 1,400 C) 1,600 D) 1,800

Answers

Answer:

He drive 1,400 miles last month all together.

So, option B) 1,400 is the correct answer.

Step-by-step explanation:

Given:

Alex has a truck. 42% of the miles he drove last month were for work.

If Alex drove 588 miles for work.

Now, to find miles he drive last month all together.

Let the miles he drive last month all together be [tex]x.[/tex]

42% of the miles he drove last month were for work.

Alex drove 588 miles for work.

Now, to get the miles he drive last month all together we put an equation:

[tex]42\%\ of\ x=588[/tex]

[tex]\frac{42}{100} \times x=588[/tex]

[tex]0.42\times x=588[/tex]

[tex]0.42x=588[/tex]

Dividing both sides by 588 we get:

[tex]x=1400\ miles.[/tex]

Therefore, he drive 1,400 miles last month all together.

So, option B)  1,400 is the correct answer.

Answer:

The answer is 1,400  

Step-by-step explanation: If you do 1,400x42%=588 So the answer is 1400!!!!!

How do I solve this? Please show steps clearly so i can understand, thank you

Answers

Answer:

The value of [tex]x=8[/tex].

Step-by-step explanation:

Given:

[tex]\frac{x+3}{x}-\frac{x+1}{x+4}=\frac{5}{x}[/tex]

We need to solve this equation.

Solution:

First combining equation having same denominators we get;

[tex]\frac{x+3}{x}-\frac{5}{x}=\frac{x+1}{x+4}[/tex]

Now denominators are common so we will solve the numerators we get;

[tex]\frac{x+3-5}{x}=\frac{x+1}{x+4}\\\\\frac{x-2}{x}=\frac{x+1}{x+4}[/tex]

Now by cross multiplication we get;

[tex](x-2)(x+4)=x(x+1)[/tex]

Now Applying distributive property we get;

[tex]x^2+4x-2x-8=x^2+x\\\\x^2+2x-8=x^2+x[/tex]

Now Combining the like terms we get;

[tex]x^2+2x-x^2-x=8\\\\x=8[/tex]

Hence on solving we get the value of [tex]x=8[/tex].

When equal amounts are invested in each of three accounts paying 7%, 9%, and 12.5%, one years combined interest income is $1,225.5. How much is invested in each account?

Answers

Answer:

$4300.

Step-by-step explanation:

Let x represent amount of money invested in each account.

We have been given that equal amounts are invested in each of three accounts paying 7%, 9%, and 12.5%, one years combined interest income is $1,225.5.        

We will use simple interest formula to solve our given problem.

[tex]I=Prt[/tex], where,

I = Amount of interest after t years,

P = Principal amount,

r = Annual interest rate.

Since principal for each amount is equal and time is equal to 1 year, so we can represent our given information in an equation as:

[tex]1225.5=x(0.07+0.09+0.125)(1)[/tex]

[tex]1225.5=x(0.285)[/tex]

[tex]x=\frac{1225.5}{0.285}[/tex]

[tex]x=4300[/tex]

Therefore, an amount of $4300 is invested in each account.

Final answer:

The amount invested in each of the three accounts with different interest rates, which together yield a total interest income of $1,225.5, is $4,300 in each account.

Explanation:

To solve for the amount invested in each account, we need to set up an equation that represents the total interest income from the accounts.

Letting x represent the amount invested in each account, we can say that the interest from the first account at 7% is 0.07x, the second account at 9% is 0.09x, and the third account at 12.5% is 0.125x. The total interest income is the sum of these individual interests, which equals $1,225.5. Hence, the equation to solve is:

0.07x + 0.09x + 0.125x = 1,225.5

Combining like terms gives:

0.285x = 1,225.5

Dividing both sides by 0.285 gives us:

x = 1,225.5 / 0.285

x = 4,300

Therefore, the amount invested in each account is $4,300.

You use math in day-to-day routines when grocery shopping, going to the bank or mall, and while cooking. How do you imagine you will use math in your healthcare career?

Answers

Answer:

Use math in healthcare career: In healthcare career one must translate medication orders into the right doses and number of pills to administer.

Step-by-step explanation:

Consider the provided information.

Math in healthcare career play significant role one should must know the units of the measurement for temperature, blood pressure, pulse rate, breathing rate etc.

In healthcare career one must translate medication orders into the right doses and number of pills to administer.

For example, If a doctor recommends a 100 gram of a drug every 6 hours and the hospital has 50 milligram pills, then you need to give two pills every 6 hours. Because 50 milligram times 2 is 100 milligram.

Math is vital in a healthcare career for tasks such as dosage calculations, interpreting vital signs, and handling medical billing. Proper math skills ensure accuracy and safety. Mastery in math will enhance your ability to provide effective patient care.

You asked how you will use math in your healthcare career. Math is essential in healthcare for various day-to-day operations. Here are some specific examples:

Dosage Calculations: Nurses and pharmacists use arithmetic to calculate the correct dosages of medication for patients based on their weight and age. For instance, if a patient requires a dosage of 5 mg per kg of body weight and they weigh 70 kg, the total dosage would be 350 mg.Vital Signs: Medical professionals regularly monitor a patient's vital signs, such as heart rate, blood pressure, and respiratory rate. Understanding how to interpret these numbers often requires basic math skills to identify any abnormal trends and take appropriate actions.Medical Billing: Healthcare administrators use basic math when handling billing and insurance claims. Ensuring that the proper amounts are billed and received involves addition, subtraction, and sometimes percentages.Statistical Analysis: Research in healthcare often involves statistical analysis to determine the effectiveness of treatments. This requires knowledge of algebra and sometimes calculus to analyze data correctly.

In conclusion, math is a vital skill in the healthcare field. Its applications range from dosage calculations to interpreting vital signs, and even handling billing. Mastery of math in your healthcare career will enable you to provide safe and effective patient care.

Let P(x) and Q(x) be predicates and suppose D is the domain of x. For the statement forms in each pair, determine whether (a) they have the same truth value for every choice of P(x), Q(x), and D, or (b) there is a choice of P(x), Q(x), and D for which they have opposite truth values.
∃x∈D,(P(x)∧Q(x))
(∃x∈D,P(x))∧(∃x∈D,Q(x))

Answers

Answer / Step-by-step explanation:

Given the statement:

∃x∈D,(P(x)∧Q(x)) and (∃x∈D,P(x))∧(∃x∈D,Q(x)) ,

Then,

(a), The variable used in a ∃ statement does not matter, thus, we can change the appearance of one of the variable used in the ∃ statement.

That is:

(∃x∈D,P(x))∧(∃x∈D,Q(x)) = (∃x∈D,P(x))∧(∃y∈D,Q(y))

Where  

(∃x∈D,P(x))∧(∃x∈D,Q(x)) = (∃x∈D,P(x))∧(∃y∈D,Q(y)) implies that P(x) is true for some element x in D and Q(y) is true for some element y in D. However, x and y are not necessary the same element and thus, we cannot be sure that  

P(x) ∧ Q(x) or P(y) ∧ Q(y) is true.

Moreover, if P(x) is only true for x and no other element in the domain D, and if Q(y) is only true for y and no other element in the domain D, while x ≠ y,

Then, P(x) ∧ Q(x) is false and P(y) ∧ Q(y) is also false. Moreover, there is no other known element (z) such that P(z) ∧ Q(z) is true and thus the statement  

∃x∈D,(P(x)∧Q(x)) is false while the statement (∃x∈D,P(x))∧(∃x∈D,Q(x)) is true.

(b)

If the statement P(x) is only true for x and no other element in the domain D, and if Q(y) is only true for y and no other element in the domain D, while x ≠ y, then Then, P(x) ∧ Q(x) is false and P(y) ∧ Q(y) is also false. Moreover, there is no other known element (z) such that P(z) ∧ Q(z) is true and thus the statement  

∃x∈D,(P(x)∧Q(x)) is false while the statement (∃x∈D,P(x))∧(∃x∈D,Q(x)) is true.

So in summary, we can say for:

(a) the statement does not contain the same truth value.

(b) The statement depicts there is such a choice in the first place.

In this exercise we have to use the knowledge of sets to identify which of the statements is true and false, thus we can state that:

A) the statement does not contain the same truth value.

B) The statement depicts there is such a choice in the first place.

Then, the first statement says that:

A)The variable used in a ∃ statement does not matter, thus, we can change the appearance of one of the variable used in the ∃ statement. That is:

[tex](\exists \ x \in D,P(x)) \wedge ( \exists \ x\in D,Q(x)) = (\exists \ x \in D,P(x)) \wedge (\exists \ y \in D,Q(y))[/tex]

Where the equation above implies that P(x) is true for some element x in D and Q(y) is true for some element y in D.

However, x and y are not necessary the same element and thus, we cannot be sure that   is true.

If P(x) is only true for x and no other element in the domain D, and if Q(y) is only true for y and no other element in the domain D. Then, [tex]P(x) \wedge Q(x)[/tex] is false and [tex]P(y) \wedge Q(y)[/tex] is also false.  

B) If the statement P(x) is only true for x and no other element in the domain D, and if Q(y) is only true for y and no other element in the domain D. Then, [tex]P(x) \wedge Q(x) \ or \ P(y) \wedge Q(y)[/tex] is also false.

Moreover, there is no other known element (z) such that is true and thus the statement.

See more about sets at : brainly.com/question/8053622


Ray Bond sells handcrafted yard decorations at county fairs. The variable cost to make these is $20 each, and he sells them for $50. The cost to rent a booth at the fair is $150. How many of these must Ray sell to break even?

Ray Bond is trying to find a new supplier that will reduce his variable cost of production to $15 per unit. If he was able to succeed in reducing this cost, what would the break-even point be?

Answers

Answer:

break even units for both the cases will be 5

Step-by-step explanation:

Data provided in the question:

For the case 1

Variable cost = $20 each

Selling cost = $50

Rent for the booth fair = $150

Now,

Let break even units be x

At break even

Total cost = Total revenue

Thus,

$20x + $150 = $50x

or

$50x - $20x = $150

or

$30x = $150

or

x = 5

Case 2

Variable cost = $15 per unit

Thus,

At break even

Total cost = Total revenue

Thus,

$15x + $150 = $50x

or

$50x - $15x = $150

or

$35x = $150

or

x = 4.28 ≈ 5

The break even point will still remain the same.

The break-even point is calculated by setting total cost equal to total revenue and solving for the number of units produced and sold (denoted as 'units').

Given the current variable cost per unit ($20), the sale price per unit ($50), and the fixed cost (booth rent - $150), we can set up the equation as follows:

Total Cost = Fixed cost (booth rent) + variable cost per unit * units
Total Revenue = sale price per unit * units

Setting these two equal to each other, we get:

150 + 20*units = 50*units

By rearranging this equation, we find:

units = 150 / (50 - 20)

This calculates out to 5 units. Therefore, Ray needs to sell 5 units to break even with his current costs.

If Ray is able to reduce his variable cost to $15 per unit, we will repeat the same calculation with the new variable cost:

units = 150 / (50 - 15)

This calculates out to approximately 4.29 units. Since Ray cannot sell a fraction of a unit, he would have to sell 5 units to fully cover his costs, but he would begin to make a profit sooner than with his current variable cost. In fact, from the 5th unit sold, part of the revenue would go towards profit. Therefore, with the reduced variable cost, his break-even point would be closer to 4 units, but practically still 5 units.

In conclusion, with his current costs, Ray's break-even point is at 5 units. If he is able to reduce his variable cost to $15 per unit, his break-even point would theoretically be lower at approximately 4.29 units, but practically still would round up to 5 units.

#SPJ3

Use two points on the like to find the equation of the line in standard form

Answers

Answer:

y=1/3x-1

Step-by-step explanation:

A(0,-1)=(x1,y1) x1=0,y1=-1

B(3,0)=(x2,y2) x2=3, y2=0

m=(y2-y1)/(x2-x1)

m=(0-(-1))/(3-0)

m=1/3

y-y1=m(x-x1)

y-(-1)=1/3(x-0)

y+1=1/3*x

y=1/3*x-1

PLEASE HELP!!! OFFERING LOTS!

Solve the system using substitution Verify the solution.

1. 3x-3=y
x+3y=11 2.

2. y=4-3x
5x+2y=5

3. -3x-1=y
-2x-y=-1

4. y=3x-2
-6x+3y=-4

Answers

Answer:

55 because if u take the 6 and 3 and multiply then subtract 4 and whatever you get that's your answer same with the others

Answer:

1. the answer is x=1/3y+1 y=3x−3

Step-by-step explanation:

Antonio is having a pizza party for his birthday. He ordered 5 large pizzas, which have a total of 40 slices. He invited 8 people to his party. If he plans to divide the pizza up equally among him and his friends, how many slices will each person get

Answers

Answer: the number of slices that each person will get is 4 4/9

Step-by-step explanation:

Antonio ordered 5 large pizzas, which have a total of 40 slices.

He invited 8 people to his party. If he plans to divide the pizza up equally among him and his friends, it means that the pizza would be divided among 9 people(Antonio and 8 friends = 9 people).

The number of slices that each of them will get would be

40/9 = 4 4/9 slices

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Find m∠H.

Write your answer as an integer or as a decimal rounded to the nearest tenth.

m∠H = °

Answers

Answer:

[tex]m\angle H = 44.4\°[/tex].

Step-by-step explanation:

Given:

In Right Angle Triangle GIH

∠ I = 90°

GI = 7    ....Side opposite to angle H

GH = 10  .... Hypotenuse

To Find:

m∠H = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

[tex]sin \ H = \frac{Oppsite\ side\ to\ \angle H}{Hypotenuse}[/tex]

Substituting the values we get;

[tex]sin\ H = \frac{7}{10} = 0.7[/tex]

Now taking [tex]sin^{-1}[/tex] we get;

[tex]\angle H = sin^{-1}\ 0.7 = 44.427[/tex]

rounding to nearest tenth we get.

[tex]m\angle H = 44.4\°[/tex].

Hence [tex]m\angle H = 44.4\°[/tex].

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Find m∠R.

Write your answer as an integer or as a decimal rounded to the nearest tenth.


m∠R = °

Answers

The measure of the angle R is [tex]m \angle R=69.4[/tex]

Explanation:

It is given that the lengths of the triangle are PQ = 8 and QR = 3

To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.

[tex]\tan \theta=\frac{o p p}{a d j}[/tex]

where opp = 8 and adj = 3

Thus, substituting these values in the formula, we get,

[tex]\tan \theta=\frac{8}{3}[/tex]

Multiplying both sides by [tex]tan^{-1}[/tex], we get,

[tex]\theta=tan^{-1} (\frac{8}{3})[/tex]

Dividing, we get,

[tex]\theta=69.44[/tex]

Rounding off to the nearest tenth, we have,

[tex]\theta=69.4[/tex]

Thus, the measure of the angle R is [tex]m \angle R=69.4[/tex]

last question and im not sure how to solve it?? pls help

Answers

Height  of the rock wall is 52.2 ft.

Step-by-step explanation:

These two triangles are similar, so using the similarity ratio, we can write as,

Δ HTV ~ Δ JSV

Now we can write the ratio as,

HT/TV = JS/SV

5.8/4 = x/36

Rearranging the equation to get x as,

x = 36 × 5.8 /4

 = 52.2 ft

When Akiko measured a rose, its height was 5.8 in. After 10 weeks, the height was 1 1/3 times the original height. What was the height of the rose after 10 weeks?

Answers

The solution is in the attachment

Final answer:

The height of the rose after 10 weeks was approximately 7.714 inches. This is calculated by multiplying the original height of the rose (5.8 inches) by 1 1/3 (converted to a decimal as 1.33).

Explanation:

The subject of this question is Mathematics, and it involves performing multiplication to find the height of the rose after 10 weeks. Given that the height of the rose was 5.8 inches originally, and after 10 weeks, the height was 1 1/3 times the original height, we can calculate the new height as follows:

Convert 1 1/3 to a decimal. 1 1/3 equals 1.33 when converted to a decimal.Multiply the original height of the rose (5.8 inches) by 1.33 to get the new height after 10 weeks.

So, 5.8 inches * 1.33 = 7.714 inches.

Therefore, the height of the rose after 10 weeks was approximately 7.714 inches.

Learn more about Height of plant after growth here:

https://brainly.com/question/19297661

#SPJ12

Find the exact value of tan A in simplest radical form.

Answers

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine tan m∠A, we would apply the tangent trigonometric ratio.

Tan θ = opposite side/adjacent side. Therefore,

Tan A = √32/2 = (√16 × √2)/2

Tan A = (4√2)/2

Tan A = 2√2

The value of tan A is in the simplest radical form  [tex]2\sqrt{2}[/tex].

We have to determine

The exact value of tanA in the simplest radical form.

According to the question,

The value of tan A is determined by using the formula;

The tangent is equal to the length of the side opposite the angle divided by the length of the adjacent side.

[tex]\rm TanA = \dfrac{Perendicular}{Base}\\\\[/tex]

Where Perpendicular = [tex]\sqrt{32}[/tex] and Base = 2

Substitute all the values in the formula;

[tex]\rm TanA = \dfrac{Perendicular}{Base}\\\\TanA = \dfrac{\sqrt{32}}{2}\\\\TanA = \dfrac{4}{\sqrt{2}} \times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\TanA = 2\sqrt{2}[/tex]

Hence, The value of tan A is [tex]2\sqrt{2}[/tex].

To know more about Tangent click the link given below.

https://brainly.com/question/13710437

Tina and Joey share a 18-ounce box of cereal. By the end of the week, Tina has eaten 1 6 of the box, and Joey has eaten 2 3 of the box of cereal. How many ounces are left in the box?

Answers

Answer:The number of ounces of cereals left in the box is 3

Step-by-step explanation:

Tina and Joey share a 18-ounce box of cereal. By the end of the week, Tina has eaten 1/6 of the box. This means that the amount of cereal that Tina ate is

1/6 × 18 = 3 ounce

Also, by the end of the week, Joey has eaten 2/ 3 of the box of cereal. This that the amount of cereal that Joey ate is

2/3 × 18 = 12 ounce

The number of ounces of cereals left in the box would be

18 - (12 + 3) = 18 - 15

= 3

Given 10 < x + 12 Choose the solution set.
{x| x∈R, x > 2}
{x| x∈R, x < -2}
{x| x∈R, x > -2}
{x| x∈R, x < 2}
{x| x∈R, x > -4}

Answers

Answer:

{x| x∈R, x > -2}

Step-by-step explanation:

You solve the inequality just like you would solve an equality.

Everything that has the x on the left side, everything without x on the right side.

Be careful that when you multiply by -1, the inequality signal changes(for example, lesser than becomes higher than

So

[tex]10 < x + 12[/tex]

[tex]-x < 12 - 10[/tex]

[tex]-x < 2[/tex]

Multiplying by -1

[tex]x > -2[/tex]

So the correct answer is:

{x| x∈R, x > -2}

{x| x∈R, x > -2}

Step-by-step explanation:

You solve the inequality just like you would solve an equality.

Everything that has the x on the left side, everything without x on the right side.

Be careful that when you multiply by -1, the inequality signal changes(for example, lesser than becomes higher than

So

Multiplying by -1

So the correct answer is:

{x| x∈R, x > -2}

Solve. x+ y = 3 y = x-7 Use the substitution method. The solution is (5, −2). There is no solution. The solution is (8, 1). There are an infinite number of solutions.

Answers

Answer:

The solution is (5, −2)

Step-by-step explanation :

x + y = 3 => y = 3 - x

                  y = x - 7  } =>

=> 3 - x = x - 7 => 3 + 7 = x + x => 2x = 10 => x = 5

x + y = 3

5 + y = 3

y = 3 - 5

y = - 2

Refer to Exercise 4. How many wooden signs can be painted with one gallon of paint? Between what two whole numbers does the answer lie?

Answers

Question refers to below content.

Three gallons of paint are used to paint 16 wooden signs. How many wooden signs can be painted with one gallon of paint?? Between what two whole numbers does the number lie?

Answer:

[tex]5 \frac{1}{3}[/tex] wooden sign can be painted from 1 gallon of paint.

The answer lies between number 5 and 6.

Step-by-step explanation:

Given:

Amount of paint = 3 gallons

Number of wooden signs = 16

We need to find the Number of wooden signs can be painted with 1 gallon of paint.

Solution:

Now we know that;

3 gallons of paint = 16 wooden signs painted

1 gallon of paint =  Number of wooden signs can be painted with 1 gallon of paint.

By using Unitary method we get;

Number of wooden signs can be painted with 1 gallon of paint = [tex]\frac{16}{3} \ \ Or \ \ 5 \frac{1}{3}[/tex]

Hence [tex]5 \frac{1}{3}[/tex] wooden sign can be painted from 1 gallon of paint.

Now we can say that;

[tex]5 \frac{1}{3}[/tex]  lies between 5 and 6.

Hence The answer lies between number 5 and 6.

A total of $114,000 will be evenly spent to build 12 Bungalows. If the first 5 bungalows have been completed and paid for, then __?__ is still available for the remaining bungalows.

Answers

Answer:

66500

Step-by-step explanation:

114000/12=9500 9500x7=66500

114000:total budget

12:total bungalows

9500:budget for each bungalow

7: unfinished bungalows

66500: remaining budget for unfinished bungalows

hope this helped and good luck :D

The remaining budget for unfinished bungalows is $66500

What are arithmetical operations?

The four basic arithmetic operations in Maths, for all real numbers, are: Addition (Finding the Sum; '+') Subtraction (Finding the difference; '-') Multiplication (Finding the product; '×') Division (Finding the quotient; '÷')

Given that, A total of $114,000 will be evenly spent to build 12 Bungalows, the first 5 bungalows have been completed and paid. We need to find the amount available for the remaining bungalows.

Amount used in each bungalow;

114000/12 = $9500

Therefore, each bungalow will need $9500

Amount used = $9500 × 5 = $47500

Amount remaining for remaining bungalows = $114,000 - $47500 = $66500

Hence, $66500 is remaining budget for unfinished bungalows.

For more references on arithmetical operations, click;

https://brainly.com/question/25834626

#SPJ5

Hiros family lives 448 kilometers from the beach.Each of the 5 adults drove the family van an equal distance to get to and from the beach.How far did each adult drive?

Answers

Answer:

179.2km

Step-by-step explanation:

The distance from their house to the beach is 448km. Now they have to drive to and from the beach. The total distance traveled by the family is 448km + 448km.

This is equal to 896km. Now we have 5 adults who took their turns to drive and they drove the same distance. The total distance traveled by each adult will be 896/5 = 179.2km

Hence, each adult in the family drove a distance of 179.2km

Final total cost of making a triangular sale that has a base dimension of 12 feet and the height of 25 feet if the price for making the sale is $19.50 per square foot

Answers

Answer:

$2925

Step-by-step explanation:

To find the cost, we need to get the area of the triangular sale. This can be obtained by using the area of a triangle.

This is A = 1/2 * b * h

Where in this case, b = 12ft and h = 25ft

The area is thus 1/2 * 12 * 25 = 150sq.ft

Now we know that 1sq.ft is $19.50, 150 will be 150 * 19.5 = $2925

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square meters per hour. If the width increases by 40 centimeters per hour how quickly does the length increase initially

Answers

Final answer:

The length of the rectangle increases at a rate of 4/7 meters per hour (approximately 0.57 m/h) initially when the area is increasing at 8 square meters per hour and the width at 0.4 meters per hour.

Explanation:

To find how quickly the length of the rectangle increases, given that the area increases at a rate of 8 square meters per hour and the width increases by 40 centimeters (0.4 meters) per hour, we can use the area formula for a rectangle (Area = length × width). The rate of change of the area with respect to time (ΔA/Δt) can be related to the rates of change of the length and width with respect to time (ΔL/Δt and ΔW/Δt respectively) by the product rule for differentiation if we consider length and width as functions of time.

Initially, the area A is 10m × 7m = 70m². When the area is increasing at 8m²/h and the width is increasing at 0.4m/h, we can write the relation as follows:

ΔA/Δt = ΔL/Δt × W + L × ΔW/Δt

Substituting the given values and solving for the rate of change of the length (ΔL/Δt):

8 = ΔL/Δt × 7 + 10 × 0.4

8 = 7ΔL/Δt + 4

7ΔL/Δt = 4

ΔL/Δt = 4/7 m/h

Therefore, the length increases at a rate of 4/7 meters per hour (approximately 0.57 m/h) initially.

Other Questions
I need help please and thank you Within any large animal population, there is _______ a variety of traits. And between different animal populations, there is _______ a variety of traits. A. never; sometimes B. sometimes; sometimes C. never; always D. always; always What is the median for 5, 5, 5, 10, 10, 15, 15, 20, 25, 30, 35, 40, 40, 45, 50, 50? Which of the following statements about service is TRUE?A. Service is providing help for someone in need.B. The primary purpose of service is to help other people.C. Serving others also benefits you.D. All of the above Erin loves whole grains. Suppose she makes herself a snack from one serving of grains and one cup yogurt topped with a serving of fresh strawberries. How much protein is in her snack? The density of air under ordinary conditions at 25 degrees * C is 1.19g / L . How many kilograms of air are in a room that measures 9.0ft * 11.0ft and has a 10.0 ft ceiling? Finding the Median from a Dot PlotHighlandsThe dot plots show rainfall totals for several springin highland areas and lowland areas.What is the median rainfall for the highland storms?4 6 8 10 12 14 16 18 20 22 24 26 28 30 32Rainfall (mm)Lowlandsmedian rainfall for the lowland storms?LLLLLLL24 6 8 10 12 14 16 18 20 22 24 26 28 30 32Rainfall (mm) What was the main environmental goal of New Deal projects such as the Civilian Conservation Corpsand the Works Progress Administration (WPA)?A. to expand the number of national parks, cemeteries, and memorials in the countryB. to remove invasive plants and insects that killed trees from infested areasC. to protect the country's natural resources and use them more efficientlyD. to create a windbreak that would prevent future dust storms by planting trees Cystic fibrosis is a generic disorder An element has four naturally occurring isotopes with the masses and natural abundances given in the table below. Find the atomic mass of the element (express your answer to four significant figures and include the appropriate units). Isotope Mass (amu) Abundance (%) 1 203.97304 1.390 2 205.97447 24.11 3 206.97590 22.09 4 207.97665 52.41 Identify the element, by spelling out its full name. Jan and Kyle sign a contract that provides if a dispute arises, they will submit to arbitration. A dispute arises, but before it goes to arbitration, Jan files a suit against Kyle. The court will likely --A. Hear the suit and then order the parties to arbitrateB. Hear the suit without ordering the parties to arbitrateC. Order relief without hearing the suit or compelling the parties to arbitrateD. Order the parties to arbitrate What does Elle est passionnee de theatre mean? You suspect that a pregnant 16-year-old girl has a broken leg after she was hit by a car. You explain that you plan to splint her leg, and she agrees to treatment. Which type of consent is her agreement considered?A. InformedB. ExpressedC. Minor'sD. Implied On another planet, the isotopes of titanium have the given natural abundances. Isotope Abundance Mass (u) 46Ti 70.600% 45.95263 48Ti 11.900% 47.94795 50Ti 17.500% 49.94479 What is the average atomic mass of titanium on that planet? average atomic mass = 47.867 A bag contains 5 red marbles, 8 blue marbles, and 3 green marbles. If a green marble is drawn you win $5, and if a red marble is drawn you win $1. Drawing a blue marble causes you to lose $1. Suppose you make 81 draws out of the bag Your chances remain the same, the number of red, blue and green marbles doesn't change from draw to draw. This corresponds to drawing how many tickets at random? Converse Florists & Co. reported assets of $ 1 comma 200 and equity of $ 350. What is its debt ratio? (Round your percentage answer to two decimal places.) Match each description with correct process.A) occurs only in cells containg chlorophyll F)CO2 and H2O are reactantsB)Carried ob by cells G) Does not need lightC) Produces energy H) Occurs in MitochondriaD)Produces carbhydrates (sugars) I) Occurs in heterotrophsE) CO2,H2O, and ATP are products J) Breaks bonds between phosphate Why is tina turner important? As this society moves up its production possibility frontier, producing more and more units of donuts, the opportunity cost of producing beer A. could decrease or increase depending on the technology. B. decreases. C. increases. D. remains constant. If he devotes all of his available resources to cantaloupe production, a farmer can produce 120 cantaloupes. If he sacrifices 1.5 watermelons for each cantaloupe that he produces, it follows that:____________ A. If he devotes all of his available resources to watermelon production, then he can produce 80 watermelons. B. He cannot have comparative advantage over other farmers in producing cantaloupes. C. His opportunity cost of one watermelon is 2/3 of a cantaloupe. D. His production possibilities frontier is bowed-out.