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Yuri [45]
2 years ago
15

The volume of a square pyramid is 50 inches. The length of the base of the pyramid is 5 inches. What is the height of the pyrami

d?
Mathematics
1 answer:
fredd [130]2 years ago
4 0

Answer: the height of the pyramid is 6 inch.

Step-by-step explanation:

V=50 inch³    a=5 inch     H=?

Formula of  volume square pyramid is:

                    \boxed {V=\frac{1}{3}*S_{base}*H },        

where:   Sbase - pyramid base area;

              H -   pyramid height.

Hence,

             H=\frac{3*V}{S_{base}}\\.

Since the pyramid is square, its base is a square.        ⇒

S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\  inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).

Good luck!    

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Please Help! Show all the steps!
likoan [24]

You can start by subtracting different equations from each other.

3x + 2y + 3z = 1

subtract

3x + 2y + z = 7

2z = -6

divide by 2

z = -3

add the following two expressions together:

3x + 2y + z = 7

3x + 2y + 3z =1

6x + 4y + 4z = 8

subtract the following two expressions:

6x + 4y + 4z = 8

5x + 5y + 4z = 3

x - y = 5

^multiply the whole equation above by 3

3x - 3y = 15

subtract the following two expressions:

3x - 3y = 15

3x + 2y = 10

-5y = 5

divide each side by -5

y=-1

take the following expression from earlier:

x - y = 5

substitute y value into above equation

x - - 1 = 5

2 negatives make a positive

x + 1 = 5

subtract 1 from each side

x = 4

Therefore x = 4, y = -1, z = -3

I checked these with all 3 equations and they worked :)

(it's quite complicated, comment if you don't understand anything) :)

7 0
3 years ago
an orange triangular warning sign by the side of the rode has an area of 180 square inches. The base of the sign is 2 inches lon
leva [86]
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7 0
2 years ago
What percent of 30 is 18
Marina CMI [18]
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2 years ago
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My brain stopped. I need help
Alisiya [41]

Answer:

x = 99°

y = 91°

Step-by-step explanation:

For Cyclic quadrilateral, the sum of the opposite angles = 180°

Let's find x :-

x + 81° = 180°

x = 180 - 81

x = 99°

Let's find y :-

y + 89° = 180°

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Hope this helps you !

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2 years ago
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Brilliant_brown [7]

Answer:

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Step-by-step explanation:

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= (72-58)/(9-2)

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58 = 4 + b

b = 54

6 0
3 years ago
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