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lilavasa [31]
3 years ago
15

If the volume of the pyramid shown is 360 inches cubed, what is its height?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
5 0
<h3>Answer: 9 inches (choice D)</h3>

Work Shown:

V = volume of pyramid

V = (1/3)*(area of base)*(height)

V = (1/3)*(12*10)*h

V = (1/3)*120h

V = 40h

Set this equal to the given pyramid volume 360 cubic inches and solve for h

40h = 360

h = 360/40

h = 9

MariettaO [177]3 years ago
3 0

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is

Here we have volume (V), base (L), and width (W)

V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

First we need to multiply both sides by 3 to get rid of the fraction:  3V = L×W×H

Then we need to divide both sides by (L×W) to get:

Now we can plug in the given values:

The height is 9 inches

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A fast food restaurant sells burgers and fries.
natima [27]
Hello!

You first make two equations

Let x stand for the price of a burger
Let y stand for the price of fries

3x + 2y = 7.15
4x + 3y = 9.93

multiply the top equation by 3 and the bottom equation by 2

9x + 6y = 21.45
8x + 6y = 19.86

You can subtract the two equations

x = 1.59

Now you can put x into one of the original equations

3(1.59) + 2y = 7.15

Combine like terms

4.77 + 2y = 7.15

Subtract 4.77 from both sides

2y = 2.38

Divide both sides by 2

y = 1.19

The answers are a burger cost $1.59 and Fries cost $1.19

Hope this helps!
4 0
3 years ago
Anyone know the answer? Also could you put down what equation I’m supposed to use?
goldenfox [79]

Answer:

The bottom two are your answers.

Step-by-step explanation:

What you do is use the slope formula which is y_2-y_1/x_2-x_1.

So for PQ it will be 12(which is y_2)-6(which is y_1)/4(which is x_2)-5(which is x_1) which equals -6.

12-6/4-5=-6.

5 0
3 years ago
Someone please help :0
AlekseyPX

Answer:

m < -18/19

Step-by-step explanation:

8m + 95 < -87 m +5

Add 87m to each side

8m+87m + 95 < -87 m+87m +5

95m + 95 < 5

Subtract 95 from each side

95m + 95-95 <  5-95

95m < -90

Divide each side by 95

95m/95 < -90/95

m < -18/19

5 0
3 years ago
Read 2 more answers
???????????????????????????????/
Shalnov [3]
The answer to the first one is <
3 0
3 years ago
Two of the angles in a triangle measure 50° and 25°. What must be the measure of the third angle?
lilavasa [31]

Answer:

105 degrees

Step-by-step explanation: 50 + 25 = 75. a triangle must have 180 degrees to be an actual triangle, take 180-75 and you get 105 degrees.

6 0
3 years ago
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