A tree that is 14 feet tall casts a shadow that is 30 feet long. Find the angle of the elevation from the top of the shadow to the top of the tree. Round to the nearest degree.

Answer:

[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]

Step-by-step explanation:

The formula to calculate the volume is:

[tex]V = \pi r^{2} h[/tex]

Where r is the radius and h the height of the cylinder.

We need to isolate r. First step is to move pi and h, they can go to the other side dividing.

[tex]V = \pi r^{2} h\\ \pi r^{2} h = V\\ \pi r^{2} =\frac{V}{h}\\r^{2} =\frac{V}{\pi h}[/tex]

Second step, as radius is with an exponent of two, we can use square root.

[tex]r^{2} =\frac{V}{\pi h}\\\sqrt{r^{2}}  = \sqrt{\frac{V}{\pi h}}[/tex]

Finally, we can isolate radius - r

[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]

Answer:-568/5

Step-by-step explanation:

Answer:

-568/5 is the answer

Answer:

$ 0.30

Step-by-step explanation:

Given:

Average daily balance = $20

Daily period rate = 0.05%

Number of days in a cycle = 30 days

The formula to calculate the monthly Finance Charge is:

Monthly finance charge = Balance x APR x (Number of days)/365

We are given the Daily period Rate which is calculated as:

Daily period rate = APR/365

Therefore, we can write the above equation as:

Monthly finance charge = Balance x Daily Periodic Rate x Number of days

Using the given values, we get:

Monthly finance charge = 20 x 0.0005 x 30 = $ 0.30

Therefore, the monthly finance charge would be $ 0.30

Answer:

The answer is $0.30 or 30 cents

Step-by-step explanation:

From the question Given, we recall the following statement

The monthly finance charge if the average daily balance =$20

The daily periodic rate is =0.05%

The number of days in the cycle is =30

We solve for the monthly finance charge

We apply  the monthly Finance Charge formula:

Monthly finance charge = Balance x APR x (Number of days)/365

Thus,

20 x  0.05% = 0.01

0.01 x 30 days = 0.30  

Therefore the monthly finance charge is = $0.30 or 30cents or 30¢

Answer:

x = 2

Step-by-step explanation:

Given

1 + x = 7 - 2x ( add 2x to both sides )

1 + 3x = 7 ( subtract 1 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

x = total amount of students in 8th Grade.

we know only one-thrid of the class went, so (1/3)x or x/3 went.

we also know 5 coaches went too, and that the total amount of that is 41.

[tex]\bf \stackrel{\textit{one third of all students}}{\cfrac{1}{3}x}+\stackrel{\textit{coaches}}{5}=\stackrel{\textit{total}}{41}\implies \cfrac{x}{3}+5=41\implies \cfrac{x}{3}=41-5 \\\\\\ \cfrac{x}{3}=36\implies x=3(36)\implies x=108[/tex]

now, to verify, well, what do you get for (108/3) + 5?

Let the amount saving by Sienna and Jacob be x

Sienna has $8 and is saving $3 per week

So the equation will be 3x + 8

Jacob has $6 and is saving $4 per week

So the equation will be 4x + 6

Sienna will have same amount as Jacob, so

3x + 8 = 4x + 6

So the model two will represents the equation that Sienna will have same amount as Jacob.

Answer:

Model B

Step-by-step explanation:

Model B correctly displays sienna's and jacob's equations.

For sienna, the $8 can be represented as 8 unit blocks, which is displayed in model 2. The $3 per week can be represented as 3 x tiles, as shown in the picture, because it represents how many weeks.

For jacob, the model shows 6 unit blocks which represents his 6 dollars. The $4 per week is represented with the 4 x tiles, and we use x tiles because we are calculating how many weeks.

Answer:

0.625 is a decimal and 62.5/100 or 62.5% is the percentage for 10/16.

Step-by-step explanation:

Please mark brainliest and have a great day!

[tex]\text{Hey there!}[/tex]

[tex]\frac{10}{16}=10\div16= 0.625[/tex]

[tex]\boxed{\boxed{\text{Answer: 0.625}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Martha should start planning early for her college expenses by seeking advice from school counselors, creating a budget, and researching financial aid such as grants, scholarships, and loans. She should be proactive in understanding the costs associated with her post-graduation lifestyle and utilize tools like the Reality Check to create a comprehensive plan.

Martha can take several important steps to ensure she has money to pay for college, which she should start thinking about as she enters high school. These steps include:

Additionally, she should consider exploring different post-secondary options like college, trade schools, or military service, all of which can influence the type and amount of financial planning needed.

Talking to parents and using resources like the Jumpstart Coalition's Reality Check will help Martha gain insights into the cost of her desired lifestyle post-graduation and plan accordingly to ensure she can afford her education and future expenses.

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Explanation:

There are 6 red marbles out of 10+6+3 = 19 total. So 6/19 is the probability of picking one red marble. If that marble is not replaced, then we have 6-1 = 5 red marbles left out of 19-1 = 18 total. The probability of picking another red is 5/18

We have 6/19 as the probability of picking red the first time, then 5/18 as the probability of picking another red marble. The first marble is not put back, and that marble is not replaced.

--------------------------

In terms of math notation, we can say

A = event of picking red on the first selection

B = event of picking red on the second selection

P(A) = 6/19

P(B|A) = 5/18

P(A and B) = P(A)*P(B|A)

P(A and B) = 6/19 * 5/18

Answer:

Step-by-step explanation:

2/3 yard          2 yd

--------------- = ---------------- = 1/6 yd / piece

4 pieces        12 pieces

Alternatively:  Use inches:

 24 inches

------------------ = 6 inches/piece   = 1/6 yd / piece

 4 pieces

Answer: (4.5, 6.5) is your solution

Step-by-step explanation:

You need either the x term or the y term to be the same in both equations so you can eliminate them...

8x=2y+5

6x=2y+14

Now you can subtract the two equations...

2x=9

Divide 9 by 2....

x=4.5 or 4 1/2

Plug in x into one of the original equations to find y...

13.5=y+7

Subtract 7 from 13.5...

6.5=y

Answer:

Distance: 6x + 15.5y > 55.5

Time: x + y > 4.5

Step-by-step explanation:

We are given that Martha is training for a duathlon and she covered a total distance of over 55.5 miles in more than than 4.5 hours of training.

Also, she runs at a speed of 6 mph and bikes at a rate of 15.5 mph.

We are to write inequalities representing the distance she traveled and the total time she spent training.

Distance: 6x + 15.5y > 55.5

(formula for distance = speed x time so speeds for running and biking are multiplied by their number of hours)

Time: x + y > 4.5

(she trained for more than 4.5 hours, x hours for running and y hours for biking.

Answer:

D. all possible inputs of the function

Step-by-step explanation:

Lets look at the options one by one

A. all possible outputs of the function

This is not the correct option because the possible outputs are range of the function

B. all possible F(x) values of the function

Not correct because the f(x) values are the output of the function.

c. all possible (x, y) coordinates

This is also not correct because domain only consists of all the values of independent variable that make the function produce some output

D. all possible inputs of the function

This is the correct answer because domain is the set of all values of independent variable for which the function is not undefined ..

Answer:

x=4

Step-by-step explanation:

First of all subtract 3 from both sides.

5x+3−3=23−3

5x=20

Then divide both sides by 5.

5x/5=20/5

x=4

The solution to the equation 5x + 3 = 23 is x = 4.

Given is an equation 5x + 3 = 23, we need to solve the equation for the value of x,

To solve the equation 5x + 3 = 23 for the value of x, we'll go through the following steps:

Step 1: Subtract 3 from both sides of the equation to isolate the term with x on the left side:

5x + 3 - 3 = 23 - 3

5x = 20

Step 2: Divide both sides of the equation by 5 to solve for x:

(5x)/5 = 20/5

x = 4

Therefore, the solution to the equation 5x + 3 = 23 is x = 4.

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Answer: [tex]5x^2-x+4[/tex]

Step-by-step explanation:

In addition of polynomials, you only have to add the like terms.

Remember the multiplication of signs:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-[/tex]

Then, given the polynomial [tex]12x^2+3x+6[/tex] and the polynomial [tex]-7x^2-4x-2[/tex], you can find the sum of them by adding the like terms.

Observe the procedure below:

[tex](12x^2+3x+6)+(-7x^2-4x-2)=12x^2+3x+6-7x^2-4x-2=5x^2-x+4[/tex]

Therefore, the sum is:

[tex]5x^2-x+4[/tex]

Answer: 18 people per minute

Step-by-step explanation: 162 divide by 9 equals 18

To find the answer, divide 162 by 9, since you divide 9 by 9 to get 1 minute.

162/9=18

The roller coaster takes 18 passengers around the track per minute.

Hope this helps!

Answer:

We have the following function: [tex]f(x) =\sqrt{x}[/tex]

We know that given a function f(x), the function g(x) = f(x+m) is exactly the same function f(x) but shifted m units to the left.

Therefore, to shift the function 12 units right we should:

[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x-12) =\sqrt{x-12}[/tex]

We know that given a function f(x), the function g(x) = f(x)+m is exactly the same function f(x) but shifted m units up.

Therefore, to shift seven units down we should:

[tex]f(x) =\sqrt{x}[/tex] ⇒ [tex]f(x) =\sqrt{x}-7[/tex]

Answer:

8

Step-by-step explanation:

got it right

Answer:

8

Step-by-step explanation:

got it right in Ed

Answer:

20

Step-by-step explanation:

100% - 20% = 80%.

80% of 25 = 25 x 0.8 = 20

When the number 25 is decreased by 20%, the result is 20.

To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.

20% of 25 is (20/100) x 25 = 5.

Subtracting 5 from 25, we get the result as 20.

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Answer:

Option 1 [tex]-2a+2c[/tex]

Step-by-step explanation:

To find :  Take [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex].

Solution :

The equation [tex]4a - 3b + 2c[/tex] ....(1)

[tex]2a - 3b + 4c[/tex] ....(2)

Taking (1) from (2) means subtracting equitation (2) from (1),

i.e [tex]=(2a - 3b + 4c)-(4a - 3b + 2c)[/tex]

[tex]=2a - 3b + 4c-4a+3b-2c[/tex]

[tex]=-2a+2c[/tex]

So, Taking  [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex] is [tex]-2a+2c[/tex]

Therefore, Option 1 is correct.

The greatest possible error for a measurement of 10 1/8 oz is ± 1/16 oz, considering that 1/8 oz is the smallest visible increment on the measuring scale.

The greatest possible error in a measurement refers to the smallest unit that the measuring instrument can discern. In the case of the measurement 10 1/8 oz, we consider the precision of the measuring tool used.

If the smallest division the scale can measure to is 1/8 oz, then the greatest possible error in this case would be ± 1/16 oz. This is because 1/8 oz is the smallest increment visible on the scale, and the actual measurement could be halfway between two increments.

The concept of greatest possible error is critical in determining the accuracy and precision of a measurement. It helps to understand how reliable a given measurement is.

For example, when taking several measurements of the same quantity, like the weight of grocery items, there is often a small variation. This variation is a normal part of measuring and can be due to the limitations of the measuring tool or the person taking the measurement.

Final answer:

The greatest possible error for the measurement of 10 1/8 oz is +/- 1/16 oz, which accounts for the uncertainty of the least precise digit in the measurement.

Explanation:

When considering the greatest possible error for a measurement, it's important to understand that this refers to the uncertainty associated with the least precise digit of the measurement. For a measurement like 10 1/8 ounces, if we are using a standard measuring device that has graduations for every 1/8 of an ounce, then the greatest possible error is half of the smallest unit measured, which in this case is 1/16 of an ounce.

The reason for this is because when a measurement falls between two lines or markings, the measurer must estimate the value to the nearest possible marking. If the measurement is exactly on a line, or marking, there is no need to estimate, but if it is not, then the convention is to record the number to the nearest marking and recognize that there's a potential error up to half the distance to the next marking. So, for the given measurement of 10 1/8 ounces, the greatest possible error would be +/- 1/16 of an ounce.

Answer:

c [tex]113\:m[/tex]

Step-by-step explanation:

[tex]113,391 = 4\frac{9}{10}[2\frac{1}{10}]^{2} + 135 \\ \\ 113 ≈ h[/tex]

I am joyous to assist you anytime.

1/2, 3/8, 5/16, 9/12, and 30/64. Hope this helped!

Answer: 1/2, 9/12, 3/8, 5/16, 15/32

Step-by-step explanation:

(divide 3) 9/12 (divide 3)

                =3/4

(divide 2)30/64 (divide 2)

              =15/32

Answer:

factors (3p - 5) and (p + 1)

Step-by-step explanation:

The quadratic formula always "works" when you're looking to factor a quadratic expression or equation.  Here, the coefficients are a = 3, b = -2 and c = -5.  The discriminant is thus b²-4ac, which here is (-2)²-4(3)(-5), or 4+60, or 64.  Because this discriminant is positive, we know that the quadratic has two real, unequal roots.  These roots are:

        -(-2)±√64          2 ± 8

p = ------------------- = --------------- = 10/6 and -1, or 5/3 and -1.

           2(3)                      6

These roots correspond to the factors (3p - 5) and (p + 1).

The area watered by the sprinkler is 1117.0 sq. feet. The sprinkler sprays in a circular direction with an angle of 80° and a radius of 40 feet.

Given that,

The sprinkler sprays over a distance of 40 feet i.e., r = 40 feet

The sprinkler rotates at an angle of 80°

So, the area watered by the sprinkler is

= [tex]\frac{80}{360}[/tex] × π × r²

= 0.22 × π × (40)²

= 1117.0 sq. feet

Therefore, the area is 1117.0 sq. feet.

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The area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet, calculated from [tex]\(A = \frac{8100}{9\pi}\).[/tex]

Step 1:

Recognize that the sprinkler's watered area forms a sector of a circle.

Step 2:

Calculate the radius [tex](\(r\))[/tex] of the circle using the formula for the arc length: [tex]\(s = r\theta\)[/tex], where [tex]\(s\)[/tex] is the arc length and [tex]\(\theta\)[/tex] is the angle in radians.

Step 3:

Convert the given angle of 80 degrees to radians: [tex]\(80^\circ \times \frac{\pi}{180} = \frac{4\pi}{9}\)[/tex] radians.

Step 4:

Substitute the given arc length [tex]\(s = 40\)[/tex] feet and angle [tex]\(\theta = \frac{4\pi}{9}\)[/tex] into the formula to find [tex]\(r\): \(40 = r \times \frac{4\pi}{9}\).[/tex]

Step 5:

Solve for [tex]\(r\): \(r = \frac{40 \times 9}{4\pi} = \frac{90}{\pi}\)[/tex] feet.

Step 6:

Calculate the area [tex](\(A\))[/tex] of the sector using the formula: [tex]\(A = \frac{1}{2} r^2 \theta\).[/tex]

Step 7:

Substitute the values of [tex]\(r\)[/tex] and [tex]\(\theta\)[/tex] into the formula: [tex]\(A = \frac{1}{2} \times \left(\frac{90}{\pi}\right)^2 \times \frac{4\pi}{9}\)[/tex].

Step 8:

Simplify the expression to find the area: [tex]\(A = \frac{8100}{9\pi} \approx 286.48\)[/tex] square feet.

Therefore, the area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet.

Heyyyyyyy

C is the answer

I had the same ques

L m a o

Answer:

C) A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right

Step-by-step explanation:

Given compound inequality,

x − 3 < −11 or x + 5 greater than or equal to 14.

⇒ x − 3 < −11 or x + 5 ≥ 14.

⇒ x < - 11 + 3 or x ≥ 14 - 5

⇒ x < -8 or x ≥ 9

Thus, the possible values of x are all real numbers less than -8 excluding -8 and all real numbers greater than 9 including 9,

That is, x ∈ (-∞, -8 ) ∪ [ 9, ∞ )

In the number line the numbers are arranged in ascending order from left to right also in the interval the excluded number is represented by open circle and included number is represented by closed circle.

Hence, correct option is,

A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right

Answer:

b=(8) tan (30°)

Step-by-step explanation:

We can use trigonometric ratios to solve a right triangle if the length of one side and an acute angle is known.

In the provided figure the side b is opposite the acute angle BCA while a is adjacent.

Therefore we can use the tangent to find the value of b.

Tan 30 =b/a  

Tan 30 =b/8ft

b=(8) tan 30°

Answer:

A. (8)tan(30)

Step-by-step explanation:

Answer:

Option B

Step-by-step explanation:

step 1

Find the measure of angle A

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

substitute the given values

∠A+23.4°+90°=180°

∠A+23.4°+90°=180°-113.4°=66.6°

step 2

Find the length of side BC (a)

Applying the law of sines

c/sin(C)=a/sin(A)

3.3/sin(90)=a/sin(66.6)

a=3.3*sin(66.6)/sin(90)

a=3.0 mm

step 3

Find the length side AC (b)

Applying the law of sines

c/sin(C)=b/sin(B)

3.3/sin(90)=b/sin(23.4)

b=3.3*sin(23.4)/sin(90)

b=1.3 mm

Answer:

14 cm²

Step-by-step explanation:

Using the formula given to calculate the area

with b = 7 and h = 4, then

A = [tex]\frac{1}{2}[/tex] × 7 × 4 = 0.5 × 28 = 14 cm²