IMPORTANT...................... PLS HELP I REALLY NEED HELP WITH THIS ONE!!!!

Brianna is going camping this weekend, and needs to find the amount of space inside her tent.



A triangular prism. 2 rectangular sides are 8 feet by 5 feet, and 1 side is 8 feet by 6 feet. The 2 triangular sides have a base of 6 feet and height of 4 feet.

Find the volume of the tent and complete the statements.



Find the volume of a triangular prism by using the formula .
Use the base and height to calculate the area of the base, B.
The volume of the tent is ft3.

IMPORTANT...................... PLS HELP I REALLY NEED HELP WITH THIS ONE!!!!Brianna Is Going Camping

Answers

Answer 1

Answer:

Find the volume of a triangular prism by using the formula

✔ V = Bh

.

Use the base and height to calculate the area of the

✔ triangle

base, B.

The volume of the tent is

✔ 96

ft3.

Step-by-step explanation:

Answer 2

Find the volume of a triangular prism by using the formula

Volume of a triangular prism = area of base triangle × length of the prism .

Use the base and height to calculate the area of the triangular base, B.

The volume of the tent is 96 ft3.

What is a triangular prism?

A triangular prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges. If the sides are rectangular, then it is called the right triangular prism else it is said to be an oblique triangular prism.


Based on the given information, the tent is a right triangular prism.

The dimensions of the rectangles are:

two of the rectangles have the dimension [tex]8ft \times 5ft[/tex]

the base rectangle has the dimension [tex]8ft \times 6ft[/tex]

The dimensions of the triangles are:

base = 6ft

height = 4 ft

Volume of a triangular prism = area of base triangle × length of the prism

[tex]V=\frac{1}{2} \times b\times h \times l\\\\V=\frac{1}{2} \times 6\times 4 \times 8\\\\V=96[/tex]

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Related Questions

Your answer is incorrect.
The diameter, D, of a sphere is 16.8 cm. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V=
?

Answers

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

Robin can bake 140 cupcakes in 5 hours.
a. At this rate, how many cupcakes does she
bake per hour? (Per means one, which is a
clue that you need to find the unit rate.)​

Answers

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

Answer: Per hour, Robin makes 28 cupcakes.

Step-by-step explanation:

To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.

(Vote me brainliest answer please)

1)
The aquarium shown has a capacity of 16.8 gallons of water.

How many quarts of water will the aquarium hold? (to a tenth of a quart)
A) 4.2 gallons
B) 33.6 quarts
C) 67.2 quarts
D) 134.4 quarts



2)
How many pints of water will the aquarium hold? (to a tenth of a pint)
A) 33.6 pints
B) 67.2 pints
C) 134.4 pints
D) 268.8 pints

Answers

Answer:

Both are C.

Step-by-step explanation:

16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.

Final answer:

To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).

Explanation:

The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:

16.8 gallons × 4 quarts/gallon = 67.2 quarts

Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:

16.8 gallons × 8 pints/gallon = 134.4 pints

You go to the store to buy shoes and realize they are marked at 30% off. If the original price
of the shoes is $55, what will the discounted price be?

A. $38.50
B. $53.35
c. $25.00

Answers

Answer:

A

Step-by-step explanation:

70% of 55 is 38.5

or u could do 30% of 55 = 16.5

55 - 16.5 = 38.5

Answer:

Step-by-step explanation:

Discount = 30% of 55

[tex]=\frac{30}{100}*55\\\\=0.3*55\\\\=16.5\\\\[/tex]

= $ 16.50

Price after discount = 55 - 16.50 = $38.50

Two rectangular pyramids were joined at their bases to form the composite figure. One pyramid has 2 triangular sides with a base of 15 centimeters and height of 16.4 centimeters, and 2 triangular sides have a base of 10 centimeters and height of 17.3 centimeters. The other pyramid has 2 triangular sides with a base of 15 centimeters and height of 23.8 centimeters, and 2 triangular sides with a base of 10 centimeters and height of 24.4 centimeters. What is the surface area of the figure? 1,020 cm2 1,175 cm2 1,325 cm2 2,050 cm2

Answers

Answer:

A) 1020 cm²

Step-by-step explanation:

8 sides

2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]

2(510)

1020 cm²

Answer:

1020 cm²

Step-by-step explanation:

A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2

= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4

= 246 + 173 + 357 + 244

= 1020 cm²

What is happening from ABCDE to A’B’C’D’E’?
2. Find 2 different ways
to get from the
pre image to the image

Answers

Answer: 1. it is being rotated by -180 degrees.

2. two different ways to get from a pre image to a image is to dilate and rotate it.

Step-by-step explanation:

The sequence of transformations is

A reflection across the x-axis followed by the y-axis and vice versaA 180 degrees rotation

How to determine the sequence of transformations

From the question, we have the following parameters that can be used in our computation:

ABCDE and A'B'C'D'E

Also, we can see that

The point in different directions, share the same center and are in adjacent quadrants

So, a possible transformation is

A reflection across the x-axis followed by the y-axis and vice versa

Another possible transformation is

A 180 degrees rotation

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solve for x. log 10x=5.7

Answers

Answer:

0.57

Step-by-step explanation:

10x0.57=5.7

Function- f(x)=-x^2+4x+6
What is the positive difference between the maximums of functions g and f?

Answers

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

The positive difference between the maximums of functions g and f is 2

What is the positive difference between the maximums of functions g and f?

From the question, we have the following parameters that can be used in our computation:

f(x) = -x² + 4x + 6

So, the x of the vertex is

x = -4/2 * -1

x = 2

So, the maximum is

Max = -2² + 4(2) + 6

Max = 10

From the graoh, we have

Max = 12

So, we have

Difference = 12 - 10

Difference = 2

Hence, the positive difference is 2

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What is the solution to the system of equations 2x + 3y = 40 and y = x + 10?
x = 2; y = 12

x = 4; y = 14

x = 12; y = 2

x = 14; y = 4

Answers

Answer:

x=2, y=12

STEP BY STEP-

Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.

Sorry that I'm so bad at explaining things

Final answer:

Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.

Explanation:

The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.

The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volume for the prism?

Answers

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]

Therefore, the volume for the triangular prism is 40.5 cubic inches.

The volume of the triangular prism is 81 cubic inches.

To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches

So, the volume of the triangular prism is 81 cubic inches.

what is -26.1235+8.75(-48.375)​

Answers

Answer:

449.40475

Step-by-step explanation:

This is actually quite simple.

all you have to do is follow order of operations-pemdas!

Answer:

The answer is -449.40475.

What is the slope of y = -4?

Answers

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0.
Slope=0
Y-intercept=-4

plz help Which statements are true about the circle shown below? Select three options.

A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.

Answers

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

Things that we must know about circles:

We know that for a circle of diameter D:

The radius is half the diameter, so R = D/2The circumference is pi times the diameter, so C = pi*DThe area is pi times the radius squared: A = pi*R^2

So our circle of diameter of 8cm has:

Radius R = 8cm/2 = 4cmCircumference C = pi*8cm = 3.14*8cm = 25.12cmArea A = pi*(4cm)^2 = pi*16cm^2

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

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Which statements are true regarding the area of circles and sectors? Check all that apply.
The area of a circle depends on the length of the radius.
The area of a sector depends on the ratio of the central angle to the entire circle.
The area of a sector depends on pi.
The area of the entire circle can be used to find the area of a sector.
The area of a sector can be used to find the area of a circle.

Answers

Answer:

A, B, D, E

Step-by-step explanation:

Got it right on edge

The area of a circle depends on the length of the radius.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

Area of a circle = π * radius²

Area of a sector = (central angle / 360) * π * radius²

Hence:

The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.

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Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%. Find the balance after 5 years if itcompounded yearly

Answers

Answer:

The balanced amount is $3130.25.

Step-by-step explanation:

Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.

To find : The balance after 5 years if it compounded yearly ?

Solution :

Using compound interest formula,

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

Where, P=$2500 is the principal

r=4.6%=0.046 is the interest rate

t=5 years

Substitute the values,

[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]

[tex]A=2500(1.046)^{5}[/tex]

[tex]A=2500\times 1.2521[/tex]

[tex]A=3130.25[/tex]

Therefore, the balanced amount is $3130.25.

Find the square root(s) (I need a step by step answer)

Answers

Answer:

[tex]\frac{1}{\\3}[/tex]

Step-by-step explanation:

±[tex]\sqrt{ \frac{1}{9}[/tex]  = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex]  = ± [tex]\frac{1}{3}[/tex]

there is a ± sign as both positive and negative numbers squared are positive, so the answer could be either

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.

Answers

Answer:

2

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

Trevor took big steps to find the length of the shadow of the big pine tree infront of the school

Answers

Trevor a very smart guy than

The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.

To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.

Let's denote:

[tex]- \( S_t \)[/tex] as the length of the shadow of the tree,

[tex]- \( H_t \)[/tex] as the height of the tree,

[tex]- \( S_b \)[/tex] as the length of the shadow of the building, and

[tex]- \( H_b \)[/tex] as the height of the building.

From Trevor's estimates:

[tex]- \( S_t = 48 \)[/tex] feet,

[tex]- \( S_b = 18 \)[/tex] feet, and

[tex]- \( H_b = 24 \)[/tex] feet.

We can set up a proportion to solve for [tex]\( H_t \):[/tex]

[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]

Substituting the given values:

[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]

Cross-multiplying:

[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]

[tex]\[ 18H_t = 1152 \][/tex]

[tex]\[ H_t = \frac{1152}{18} \][/tex]

[tex]\[ H_t = 64 \][/tex]

Therefore, the big pine tree is approximately 64 feet tall.

The complete question is:

EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?

Write an equation in slope-intercept form of the line with the given parametric equations,
x = 8t+3
y= 9t+3

Answers

The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Step-by-step explanation:

Given,

x = 8t+3

y= 9t+3

First, convert both the equations in terms of t for comparison.

x = 8t + 3

x - 3 = 8t

t = [tex]\frac{x-3}{8}[/tex]

Similarly,

y = 9t + 3

y - 3 = 9t

t = [tex]\frac{y-3}{9}[/tex]

Now, comparing both equations

[tex]\frac{x-3}{8}[/tex] =  [tex]\frac{y-3}{9}[/tex]

9x -27 = 8y -24

9x - 3 = 8y

or

y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex]

Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is ____ cubic centimeter

Answers

Answer:

The volume of the prism is cubic [tex]\frac{105}{512}[/tex] centimeters.Step-by-step explanation:Given that a rectangular prism has the following dimensions:[tex]length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}[/tex]We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by[tex]V=w*h *l.[/tex]Therefore, the volume of the given prism will be[tex]V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.[/tex]Thus, the volume of the prism is [tex]\frac{105}{512}[/tex] cubic centimetres.

What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10

Answers

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The  mean  =  (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

=  3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

____ numbers are useful in solving math problems with money​

Answers

Answer:

Step-by-step explanation:

Decimal numbers

Answer:

Real

Step-by-step explanation:

Solve -2/3n<16 which of the following must be true about the inequality and the resulting graph? Select three options.
A. n < -24
B. n > -24
C. The circle is open
D. The circle is closed
E. The arrow points right.

Answers

Answer:

n > -24  The circle is open. The arrow points right.

Step-by-step explanation:

To solve for n, divide both sides by -2/3.

When you divide an inequality by a negative number, reverse the inequality.

Here < becomes >.

Dividing by a fraction is done by multiplying by its reciprocal.

16 ÷ -2/3 becomes 16 × -3/2.   That's -24.

The open circle means not equal to.

n is all the numbers greater than -24, so the arrow points right.

Answer: b d e

Step-by-step explanation:

which of the following equations could be used to determine the value of X

Answers

Answer:

D

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

Answer:

D

Step-by-step explanation:

We can make each part of the problem into a expression, and combine them.

Part 1: A picture frame that normally costs $x is discounted by 3.

x-3

Part 2: I decided to purchase 4 of the discounted picture frames

4(x-3)

You are buying 4, and each costs x-3.

Part 3: The total cost of the four frames, excluding tax, is $27.

4(x-3)=27

The restaurant bill was $28 after tax. If you wanted to leave a 8% tip, how much should you leave total?

Answers

I think the top choice would be the correct answer.

Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it

Answers

Answer:

left

Step-by-step explanation:

if she pushes it right then she would have to push it left back to her to work on it

It needs to move to the left

Write 9855 in expanded form

Answers

Answer:

9,000+800+50+5

Step-by-step explanation:

Step-by-step explanation:

nine thousand eight hundred fifty five

t

A rectangle has a height of 5 and a width of 4x2 – 2x – 6.

Express the area of the entire rectangle

Expression should be expanded.

Answers

Answer:

The area of the rectangle is given by the expression "20x² - 10x - 30".

Step-by-step explanation:

The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:

area = width*height

In this case the width is an expression, so we need to multiply the numeric part of each mnemonic

area = 5*(4x² - 2x - 6)

area = 20x² - 10x - 30

The area of the rectangle is given by the expression "20x² - 10x - 30".

Martin's class needs to raise $1,250 for a river rafting trip. To find how much money each of class members must raise, Martin divides 1,250 by 25. His steps are shown 1.250 25 Step 1: (1,000 + 200 +50) = 25 Step 2: (1,000 - 25) + (200 - 25) + (50 25) Step 3: 400 + 8 + 2 Step 4: 482 In which step did Martin make his first mistake! F Step 1 G Step 2 H Step 3 J Step 4

Answers

Answer:

F) Step 1

Step-by-step explanation:

1,000+200+50=1,250, not 25

Final answer:

Martin made his first mistake in Step 2.

Explanation:

Martin made his first mistake in Step 2.

In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).

So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.

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If AB = 9, RS = 3, and SC = 5, find BC.
A) 5
B) 10
C) 13.5
D) 15

Answers

Answer:

D

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values

[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

Answer:

BC=15, so D

Step-by-step explanation:

First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.

Lengths 3 and 9 are rational. 1:3. Since they're rational, the triangles are a set of dilations. Because of this, ALL the sides of the triangles are rational. If all the sides are rational by 1:3, which they are, then we can just multiply SC by 3. By doing this, we get the length of BC. Thus, the length of BC is 15.

I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.

Other Questions
The angular speed of an automobile engine is increased at a constant rate from 1150 rev/min to 2680 rev/min in 14.2 s. (a) What is its angular acceleration in revolutions per minute-squared? (b) How many revolutions does the engine make during this 14.2 s interval? Which of the following sources is likely to provide the most reliable scientificinformation about a new kind of motor oil?OA. A news article that explains how the motor oil is designedOB. The website of the company that sells the motor oilOc. A newspaper ad for the motor oilOD. A peer-reviewed article about the effectiveness of the motor oil NewKirk Inc.., is an unlevered firm with expected annual earnings before taxes of $21 million in perpetuity. The current required return on the firm's equity is 16 percent, and the firm distributes all of its earnings as dividends at the end of each year. The company has 1.3 million shares of common stock outstanding and is subject to a corporate tax rate of 35 percent. The firm is planning a recapitalization under which it will issue $30 million of perpetual 9 percent debt and use the proceeds to buy back shares. What is cash flows available to equity holders after recapitalization? Write the fractional notation in lowest terms. 110 minutes to 4 hours. President James K. Polk fulfilled a significant campaign promise during his presidency.What was that promise?A securing extended rights for womenB expanding the size of the United StatesC reducing the number of slave statesD achieving peace with Mexico Which two changes would increase the density of ocean In ancient Greece, the philosopher Aristotle A triangle has a perimeter of 10.2 kilometers. Two of the sides measure 3.4 kilometers and 3.4 kilometers. What is the length of the third side? Select the correct answer from each drop down menu. What does Hookes Law explain ? If the external force is larger than the(1.)size (2.)volume (3.)elastic limit of material, it may result in permanent deformation in the shape and size of the object. This characteristic is known as the (4.)material behavior (5.)elastic behavior (6.)plastic behavior of an object. Who was the artist's most likely audience for this poster's message? A. the president and members of the U.S. Congress B. Southern Democrats who supported George Wallace C. activists impatient with the pace of civil rights progress D. SNCC members practicing civil disobedience in the South Fill in the blank with the correct response.If the diameter of a circle is 12 feet, then the radius of the circle is how many feet?pls help! Explain the role electrons play in producing light Assume a parent company acquired 80% of the outstanding voting common stock of a subsidiary on January 1, 2018. On the acquisition date, the identifiable net assets of the subsidiary had fair values that approxi-mated their recorded book values except for a patent, which had a fair value of $200,000 and no recorded book value. On the date of acquisition, the patent had five years of remaining useful life and the parent com-pany amortizes its intangible assets using straight line amortization. During the year ended December 31, 2019, the subsidiary recorded sales to the parent in the amount of $240,000. On these sales, the subsidiary recorded pre-consolidation gross profits equal to 25%. Approximately 30% of this merchandise remains in the parents inventory at December 31, 2019. The following summarized pre-consolidation financial state-ments are for the parent and the subsidiary for the year ended December 31, 2019: Open the"stateData3.c" program and try to understand how the tokenization works. If you open the input file "stateData.txt", you can clearly seethat a comma separates the state name and its population. The tokenizer portion of the programs separates each line into two tokens and stores them into two different arrays. You need to display the arrayelements such that each line has a state and itspopulation. Also calculate the total population of USA.Then,examine the portion of the code how it writes the array elements into a binary datafile.You need to write similar logic where it writes the array elements into a text file "stateDataOutput2.txt". Please check the syntax and usage of fprintf(); and use that here. 2. Ana no est en su casa, _ que est en el gimnasio.salgotengoO supongo A mixture of propane and butane is fed into a furnace where it is mixed with air. The furnace exhaust leaves the furnace at 337C, 786.0 mmHg and contains only N2, O2, CO2, and H2O. The partial pressure of O2 in the exhaust is 10.38 mmHg and the partial pressure of CO2 in the exhaust is 88.03 mmHg. 1.What is the mole fraction of propane in the fuel stream? 2.What is the mole fraction of water in the exhaust stream? 3.What is the dew point temperature of the exhaust gas? To ensure ratification of the constitution there were many compromises between federalists and anti-federalists that needed to be accomplished. Which set of comparisons below most accurately reflect the final resolutions each group desired? Row BRow ARow C Which statement made by the patient diagnosed with COPD indicates to the clinic nurse that teaching has been effective? "I should take the pneumonia vaccine annually." "I need to get the flu shot every year in the fall." "I must reduce how many cigarettes I smoke a day." "I will make an appointment to see an endocrinologist." The nontaxonomic term sea slug encompasses a wide variety of marine gastropods. One feature they share as adults is the lack of a shell. We might think, therefore, that they represent defenseless morsels for predators. In fact, sea slugs have multiple defenses. Some sea slugs prey on sponges and concentrate sponge toxins in their tissues. Others feed on cnidarians, digesting everything except the nematocysts, which they then transfer to their own skins. Whereas the most brightly colored sea slugs are often highly toxic, others are nontoxic and mimic the coloration of the toxic species. Their colors are mostly derived from pigments in their prey. There are also sea slugs that use their coloration to blend into their environments.a.nematocystsb.an incurrent siphonc.a radulad.a mantle cavity Chain migration involves the place transition from, for example, rural to central city residence through a series of less extreme locational changes, from farm to small town to suburb, and finally to the major central city itself.True / False.