How many triangles can be drawn with one 90° angle ,a 70° angle, and an included side measuring 3 inches?explain

Answer:

Deon drove the truck 201 miles.

Step-by-step explanation:

Base Fee + (.98* Number of miles)= Cost

19.99 + .98x = 216.97

Subtract 19.99 from both sides.

.98x = 196.98

Divide both sides by .98

x = 201

choice B is the correct answer

Answer: the second option is correct

Step-by-step explanation:

Answer:

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Step-by-step explanation:

we know that

The tangent of angle theta is equal to divide the opposite side angle theta by the adjacent side angle theta

[tex]tan(\theta)=\frac{m}{(1/2)}=2m[/tex]

[tex]tan(\theta)=\sqrt{3}[/tex]

so

[tex]2m=\sqrt{3}[/tex]

[tex]m=\frac{\sqrt{3}}{2}[/tex]

Answer:

2

Step-by-step explanation:

The constant of proportionality In the equation y=2x is 2.  For every unit by which x increases, y increases twice as much.

The constant of proportionality In the equation y=2x is 2.

Given that,

Based on the above information, the information is as follows:

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Answer:

9.3 feet

Step-by-step explanation:

See attachment for the picture.

Let f represent how high up the bird is in the tree.

This side length of the right triangle is opposite the given angle which is 25 degrees.

The side length adjacent to the given angle is 20 ft.

We use the tangent ratio to obtain:

[tex]\tan 25\degree=\frac{opposite}{adjacent}[/tex]

We substitute the values to obtain:

[tex]\tan 25\degree=\frac{f}{20}[/tex]

[tex]f=20\tan 25\degree[/tex]

f=9.3 ft

Therefore the bird is 9.3 feet high up in the tree.

Answer:

Step-by-step explanation:

From 6:05 to 7:00 there are 55 minutes.

From 7:00 to 9:00 there are two hours.

From 9:00 to 9:17 there are 17 minutes.

Therefore we have

2h + 55min + 17min = 2h + 72min = 2h + 60min + 12min = 2h + 1h + 12min

= 3h + 12min = 3h + 12/60h = 3h + 1/5h = 3h + 0.2h = 3.2h

1h = 60min → 1min = 1/60h

Answer:

Step-by-step explanation:

x: 2    5     8

y: 2 0.8 0.5

Simply by looking at what happens to y as x increases, we can see that y decreases, and that we therefore have inverse variation.

The appropriate model is y = k/x.

If x = 5, y = 0.8, and so     0.8 = k/5

Solving for the constant of proportionality, we get 4 = k.

Then y = 4/x models this data.

The data in the table reflect an inverse variation, characteristic of the y-values decreasing as x-values increase. The constant of variation k is 4, yielding the model equation of the data as y = 4/x.

The data in the table appears to represent an inverse variation rather than a direct one. This is because as the x-values are increasing, the y-values are decreasing. This is indicative of an inverse relationship between the two variables.

To model the inverse variation, recall the general form of the equation for inverse variation which is y = k/x, where k is the constant of variation. We derive the value of k by multiplying the corresponding x and y values. For instance, 2(2)=4.

Assuming the constant stays the same across the data, we can test the other pairs. Indeed, for x=5, y=0.8, we have 5*0.8=4 and for x=8, y=0.5, we also have 8*0.5=4.

Hence, k=4 and, therefore, the model equation for this data is y = 4/x.

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well, let's take a peek, "m" is drawn on the x-axis most likely and H(m) is drawn on the y-axis, making a straight line.

so at m = -5, namely 5 minutes before he was told to go home, the kite was 375 meters up.

then he was told to go home, when m = 0, and the kite was 300 meters up.

now, as far as the other numbers, m = 5, 5 minutes after he was told, the kite was 225 m up, then 10 minutes later, then 15 minutes later then 20 minutes later m = 20, the kite was at 0, namely on the ground, he already had rolled up all the kite string that he was coiling up, so he can pack it in his carriage bag and go home.

87.96+30x<200

Subtract 87.96 from both sides

30x= 112.04

X=3.73

She can buy 3 t shirts

Answer:

3 shirts

Step-by-step explanation:

1. Subtract the cost of tickets (87.96) from the total (200)

    200-87.96 = 112.07

2. Divide 112.07 by the cost per shirt (30)

    112.07 / 30 = 3.74

Since you cannot purchase part of a shirt - she can buy 3 shirts.

Answer:

6 book for $32.16

Step-by-step explanation:

Divide 21.80 by 4 and you will get 5.45

5.45 is the price for each book

Divide 32.16 by 6 and you will get 5.36

5.36 is the price for each book

Answer:

The answer would be the 6 books

Step-by-step explanation:

If you do 21.80 divied by 4 you get 5.45.If you go the same with the 6 books and the number of money you get 5.36.

Answer:

166.66 and 166.67 rounded

Step-by-step explanation:

Answer:

The answer is 166.(666)

Step-by-step explanation:

:D

Answer:

[tex](x-6)^{2}+(y+16)^{2}=6,400[/tex]

Step-by-step explanation:

we know that

The equation of a circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

In this problem we have

The center of the radio tower (position) is the point [tex](6,-16)[/tex]

The radius of the radio tower (range) is [tex]r=80\ miles[/tex]

substitute

[tex](x-6)^{2}+(y+16)^{2}=80^{2}[/tex]

[tex](x-6)^{2}+(y+16)^{2}=6,400[/tex]

The standard equation for the radio tower's signal range is (x - 6)² + (y + 16)² = 6400, representing a circle with a center at (6, -16) and a radius of 80 miles.

The student is asking for the equation of a circle that represents a radio tower's signal range on a coordinate grid. Since the radio tower is centered at (6, -16) and has a range of 80 miles, the equation of the circle can be written using the standard form of a circle's equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. Substituting the given values, the equation becomes (x - 6)² + (y + 16)² = 80².

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The easiest way is to try and proceed. Let's try solving these two.

Start by dividing the top equation by 3

15x/5 - 3y/3 = - 12/3

3x - y = -4

Add 4 to both sides

3x - y + 4 = -4 + 4

3x - y + 4 = 0                 Add y to both sides

3x + 4 = y

===============

Substitute the right side of the second equation into the 4x + 4 = y equation

3x + 4 = 5x + 7

3x - 3x + 4 = 5x - 3x + 7

4 = 2x + 7                

subtract 7 from both sides

-3 = 2x

Divide by 2

-1.5 = x

y = 5x + 7

y = 5(-1.5) + 7

y = -7.5

y = -0.5

=======

By inspection, you can see that the slopes of the lines are not the same.

You can also see that the slope of the first line is not the negative reciprocal of the slope of the second line.

You can also see that the lines intersect at one point (-1.5,-0.5) so they are not the same line.

Answer C

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 10, hence

sum = 180° × 8 = 1440°, thus

each angle measure = 1440° ÷ 10 = 144°

You forgot to DISTRIBUTE THE NEGATIVE, giving you this: -8 + 11x = -x - 8; 0⃣ = x.

Answer:

x = 8

3rd choice

Step-by-step explanation:

8x - 18 + 5x + 4 = 90

13x - 14 = 90

13x = 104

x = 8

https://mathbitsnotebook.com/Geometry/Trigonometry/TGTrigSineCosine.html

Answer:

C. 30 / 6 =5

hope this helps

Answer: Option C

Step-by-step explanation:

 You know that when you multiply 5 and 6, the product is 30:

[tex]5*6=30[/tex]

Let's check all the options:

Option A shows us that [tex]30*6=5[/tex], this is not true, because:

[tex]30*6=180[/tex]

 Option B shows us that [tex]5\div6=30[/tex], this is not true, because:

[tex]5\div6=0.833[/tex]

Option C shows us that [tex]30\div6=5[/tex], this is true.

Option D shows us that [tex]30*5=6[/tex], this is not true, because:

[tex]30*5=150[/tex]

Therefore, the option that shows one one way to check the answer to  [tex]5*6=30[/tex] is the Option C.

Answer:

59,000

Step-by-step explanation:

180,000 - 68,000 = 112,000

112,000 - 53,000 = 59,000

59,000 attended the show in Minneapolis

To calculate the Minneapolis concert audience size for Maroon 5, we subtracted the combined audience sizes of Chicago and Milwaukee from the total tour audience, finding the Minneapolis audience to be 59,000 people.

The question revolves around calculating the audience size for Maroon 5's concert in Minneapolis, given the total audience size for a 3-city tour and the audience sizes for two of the cities. Maroon 5 played to at least 180,000 people across three cities, with audiences of 68,000 in Chicago and 53,000 in Milwaukee.

To find the Minneapolis audience size, we subtract the known audience sizes from the total audience size:

Therefore, the audience size for the Minneapolis show was 59,000 people.

Answer:

a) [tex]A=224.55\ ft^2[/tex]

b) [tex]P = 58.85\ ft[/tex]

Step-by-step explanation:

a) The area of a rectangle is calculated as the product of its length by its width.

[tex]A = lw[/tex]

Then the area of the rectangular room is:

[tex]A = 14 * 12\\\\A = 168\ ft ^ 2[/tex]

The area of a semicircle is[tex]A = \frac{1}{2}\pi r ^ 2[/tex]

We know that the diameter is 12 feet, then the radius is:

[tex]r = \frac{12}{2} = 6\\\\r = 6\ ft[/tex]

[tex]A = \frac{1}{2}\pi(6) ^ 2\\\\A = 56. 55 ft ^ 2[/tex]

Finally, the total area is:

[tex]A=56. 55\ ft ^ 2+168\ ft ^ 2[/tex]

[tex]A=224.55\ ft^2[/tex]

b) The perimeter of a rectangle is:

[tex]P = 2l + 2w[/tex]

The perimeter of a semi-circle is:

[tex]P = 0.5 * 2\pi r[/tex]

In this case r = 6

Since the semi-circle is attached to one of the sides of the room and its diameter is 12 feet, you cannot add one of the sides of rectangle that measures 12 feet to the perimeter (Observe the figure attached, which is not drawn to scale).Then the perimeter is:

[tex]P = (12 + 2 * 14)+(0.5 * 2\pi (6))\\\\P = 58.85\ ft[/tex]

Answer:

A = 11, B = 25/3, C = -1

Step-by-step explanation:

A linear function has the form:

f(x) = ax + b

(1)

f(3) = 8a + b = 8

f(5) = 5a + b = 9

Using the last 2 equations we can solve for 'a' and 'b'.

8a + b = 8 | 5a + b = 9

We multiply the second one by -1:

8a + b = 8 | -5a -b = -9

And then we add them together:

3a = -1

a = [tex]\frac{-1}{3}[/tex]

We then solve for 'b':

5a + b = 9

5(-1/3) + b = 9

b = 9 + 5/3

b = 32/3 = [tex]11\frac{1}{3}[/tex].

We then use this to find A, B, C.

f(x) = (-1/3)x + 32/3

(2)

f(A) = -A/3 + 32/3 = 7

[tex]\frac{-A}{3} + \frac{32}{3} = 7\\A - 32 = -21\\A = 11[/tex]

(3)

f(7) = -7/3 + 32/3 = B

25/3 = B

(4)

f(C) = -C/3 + 32/3 = 11

[tex]\frac{-C}{3} + \frac{32}{3} = 11\\C - 32 = -33\\C = -1[/tex]

Angela's earnings are calculated by applying her 7% commission rate to the total sales of $26,300, resulting in her earning $1,841 for the month.

Angela earns money purely through a commission system where she makes a 7% commission on her sales. To calculate Angela's earnings for the month, we first need to apply the commission rate to her total sales. Angela sold $26,300 worth of merchandise.

So, Angela earned $1,841 from her commission for the month.

Answer:

She omitted the y- intercept

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 7.5) and (x₂, y₂ ) = (2, - 5)

m = [tex]\frac{-5+7.5}{2+3}[/tex] = [tex]\frac{2.5}{5}[/tex] = 0.5, thus

y = 0.5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 5), then

- 5 = 1 + c ⇒ c = - 5- 1 = - 6

y = 0.5x - 6 ← equation if line

ANSWER

$1,413.81

EXPLANATION

The compound interest formula is given by:

[tex]A=P(1+r\%)^t[/tex]

Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.

We substitute the values in to the formula to get:

[tex]A=900(1+4.62\%)^{10} [/tex]

[tex]A=900(1.0462)^{10} [/tex]

This simplifies to:

[tex]A=1413.81[/tex]

Therefore $1413.81 will be in the account after 10 years.

Answer:

Correct choice is $1413.81.

Step-by-step explanation:

Initial amount P = $900

Rate of interest = r = 4.62% = 0.0462

Number of compounding periods per year n = 1 {Compounded annually}

Time = 10 years

Then balance that is future value after 10 years in the account is given by formula :

[tex]A=P\left(1+\frac{r}{n}\right)^{\left(n\right)\left(t\right)}[/tex]

[tex]A=900\left(1+\frac{0.0462}{1}\right)^{\left(1\right)\left(10\right)}[/tex]

[tex]A=900\left(1+0.0462\right)^{\left(10\right)}[/tex]

[tex]A=900\left(1.0462\right)^{\left(10\right)}[/tex]

[tex]A=900\left(1.57089499829\right)[/tex]

[tex]A=1413.80549846[/tex]

Hence correct choice is $1413.81.

The variable x represents the total number of days in the total fees equation of “pay upfront” y = 33 + 8x, and “drive now pay later” Y = 18 + 11x.

In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.

Given:

The “pay upfront” car rental company charges an insurance and gas fee of $33,

Daily rental fee = $8 per day,

The “drive now pay later” car rental company charges an insurance and gas fee of $18,

Daily rental fee = $11 per day,

Write the equation for the total fees by “pay upfront” as shown below,

y = 33 + 8x

Here, y is the total fees and x is the number of days,

Write the equation for the total fees by “drive now pay later” as shown below,

Y = 18 + 11x

Here, Y is the total fees and x is the number of days,

Thus, x represents the number of days.

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Final answer:

The variable x represents the number of days a car is rented at two different car rental companies. Calculations can be made to compare total costs based on this variable, determining which company offers the better deal for a given rental period.

Explanation:

Comparing Car Rental Company Costs

The question asks us to interpret the role of the variable x in the context of comparing costs between two different car rental companies, one with the option to pay upfront and the other with the option to drive now pay later. The "pay upfront" company charges a flat fee for insurance and gas at $33, with an additional daily rental fee of $8. On the other hand, the "drive now pay later" company has a lower initial fee for insurance and gas at $18, but a higher daily rental fee of $11. The variable x represents the number of days the car is rented.

To determine which option is more cost-effective, one can set up equations for each company's rental costs in terms of x (the number of days) and compare the total costs. For the "pay upfront" company, the cost equation is C = $33 + $8x. For the "drive now pay later" company, it is C = $18 + $11x. By analyzing these equations, one can determine the breakeven point or compare costs for a specific rental period.

Answer:

Step-by-step explanation:

In the absence of a picture, I will have to assume that the two shorter sides of the triangle are given and are 28" and 15" and that the hypotenuse is unknown.

If that's the case, then we use the Pythagorean Theorem to find the length of the hypotenuse:

28² + 15² = hyp², or

784 + 225 = 1009 = hyp²

Taking the square root of both sides, we get

hyp = 31.8 in

Answer:

third side = 31.8 in

Step-by-step explanation:

Given that two sides of the right angle triangle are 28 in and 15 in.

Now we need to find about what is the third side of the right angle triangle.

So apply the formula of Pythagorean theorem.

[tex](Hypotenuse)^2=(Leg_1)^2+(Leg_2)^2[/tex]

[tex](Hypotenuse)^2=(28)^2+(15)^2[/tex]

[tex](Hypotenuse)^2=784+225[/tex]

[tex](Hypotenuse)^2=1009[/tex]

[tex]Hypotenuse=\sqrt{1009}[/tex]

[tex]Hypotenuse=31.7647603485[/tex]

Which is approx 31.8.

Hence Length of the third side = 31.8 in.

Answer:

Step-by-step explanation:

Six times a number is greater than 2 less than 4 times the same number.​

n - the number

six times a number: 6n

is greater than: >

2 less than 4 times the same number: 4n - 2

6n > 4n - 2             subtract 4n from both sides

6n - 4n > 4n - 4n - 2

2n > -2         divide both sides by 2

2n : 2 > - 2 : 2

n > -1

Answer:

The equation of the perpendicular line is y = -x - 2

Step-by-step explanation:

* Lets revise the form of the slope intercept for

- The slope intercept form is y = mx + b, where m is the slope of

  the line and b is the y-intercept

* Now lets revise the relation between the slopes of the

 perpendicular lines

- If two lines are perpendicular, then the product of their slopes is -1

# Ex: If line L has slope m1 and line K has slope m2, and L ⊥ K

∴ m1 × m2 = -1

∴ m2 = -1/m1

* Now lets solve the problem

- We need to find the equation of the line which is perpendicular to

 the line whose equation is y = x + 3 and passes through point (2 , -4)

- Find the slope of the given equation

∵ y = x + 3

- In this form the slope is the coefficient of x

∴ m = 1

- Find the slope of the perpendicular line

∵ The slope of the perpendicular line = -1/m

∴ The slope of it = -1/1 = -1

- Write the equation of the line with the value of the slope

∴ y = -x + b

- To find the value of b substitute x , y in the equation by the x and

  y of the given point

∵ The line passes through point (2 , -4)

∵ y = -x + b

∴ -4 = -1(2) + b

∴ -4 = -2 + b ⇒ add 2 for both sides

∴ b = -2

- Write the equation with the value of b

∴ y = -x - 2

Answer:

A) x=4

Step-by-step explanation:

-We know that the triangles are equal by using Angle-Angle-Side theorem.

-Take one of the triangles.

-We know that the base of the triangle will be 3 on both sides because they are both equal.

-By using the Pythagorean theorem, we can now find the answer for x.

5^2=3^2+x^2

25=9+x^2

subtract 9 from both sides.

16=x^2

To 'undo' the squaring of the x, we need to take the square root on both sides.

[tex]\sqrt{16} =x[/tex]

The answer would be 4 because 4^2 equals 16.

x=4

The correct answer would be x=4

Answer:

64 : 343

Step-by-step explanation:

First use the radii to find the volume

1) Radius of first sphere is 4 (taken from 4:7 ratio)

   Insert it into the equation for volume of a sphere: V=4 /3πr^3

   V = (4/3)(π)(4^3)

   V = (4/3)(π)(64)

   V = 256/3 π

   Volume of the first sphere = 256/3 π

2) Radius of the second sphere is 7 (also taken from 4:7 ratio)

   Insert it into the equation for volume of a sphere: V=4 /3πr^3

   V = (4/3)(π)(7^3)

   V = (4/3)(π)(343)

   V = 1372/3 π

   Volume of the second sphere = 1372/3 π

Next, calculate the ratio by dividing the two numbers

256/3 π ÷ 1372/3 π

Answer should be 64 : 343

The simple way to do this problem is to just cube the numbers:  

4:7 becomes 4^3 : 7^3 = 64 : 343

Either way works.

Answer:

238

Step-by-step explanation:

let the number of marbles Sam has be x, then

Jim has x + 92 ← 92 more than Sam

After swap of 18 marbles

Sam has x - 18 and sam has x + 92 + 18 = x + 110

Jim now has twice as many as Sam, that is

x + 110 = 2(x - 18)

x + 110 = 2x - 36 ( subtract x from both sides )

110 = x - 36 ( add 36 to both sides )

146 = x

At first Jim had 146 + 92 = 238 marbles

Answer is 27.5

= 92+18

=110 divided by 2

=55

Haha this is wrong