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Tom [10]
3 years ago
14

hurry plzzzzz!!!!!!!!!!!!! Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet. A

:5 feet B:9 feet C:25 feet D:45 feet
Mathematics
1 answer:
kow [346]3 years ago
3 0

Answer:

B

Step-by-step explanation:

The volume of a square pyramid can be found using:

v=1/3 bh

Where b is the area of the base, and h is the height

First, let's find the area of the base

a=l*l

We know the length is 5, so we can substitute it in

a=5*5

a=25

Now we know b(area), is 25, and we know the volume is 75, so we can substitute them in

v=1/3 bh

75=1/3(25)h

Divide both sides by 1/3, or multiply both sides by the reciprocal, 3/1

225=25h

Divide both sides by 25

h=9

So, the height is 9 feet , or choice B

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docker41 [41]
X + 9y = 5 .....multiply by -1
4x + 9y = -7
-----------------
-x - 9y = -5 (result of multiplying by -1)
4x + 9y = -7
----------------add
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x = -12/3
x = -4

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====================
3x = 5y - 9
-3x = -2y + 3 ....I rearranged this equation from 2y = 3x + 3
----------------add
0 = 3y - 6
6 = 3y
6/3 = y
2 = y

3x = 5y - 9
3x = 5(2) - 9
3x = 10 - 9
3x = 1
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solution is (1/3,2)
====================
10x - 3y = 5....rearranged from 10x - 5 = 3y
2x - 3y = 1...multiply by -1
---------------
10x - 3y = 5
-2x + 3y = -1 (result of multiplying by -1)
---------------add
8x = 4
x = 4/8
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10x - 5 = 3y
10(1/2) - 5 = 3y
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0 = y

solution is (1/2,0)
======================
-6x - 4y = 10....multiply by -2
-12x - y = 13
----------------
12x + 8y = -20 (result of multiplying by -2)
-12x - y = 13
-----------------add
7y = - 7
y = -7/7
y = -1

-6x - 4y = 10
-6x - 4(-1) = 10
-6x + 4 = 10
-6x = 10 - 4
-6x = 6
x = -6/6
x = -1

solution is (-1,-1)

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Answer:

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Step-by-step explanation:

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