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Maurinko [17]
3 years ago
14

I need help on this I don’t understand how to do this

Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

Hi there!

The correct answer to this question is: The <u>side length</u> of the square base is 18 inches and the <u>height</u> of the pyramid is 9 inches.

Step-by-step explanation:

The equation to find the volume of a square pyramid is V= (b^2)(h/3)

we are given the volume to be 972 inches cubed, additionally we know that the base of the square is x inches, the height is x/2

then we plug in and we get 972= (x^2)(x/2/3)

then you simplify to 972 = x^3 / 6 then you multiply six on both sides and  you get x^3 = 5832

cube root on both sides and you get x = 18 that means the base is 18 inches and the height is x/2 then you plug 18 in and you get the height to be 9 inches.

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navik [9.2K]

Answer:

The number of liters of 50% antifreeze solution is 50 and the number of liters of 90% antifreeze solution is 150

Step-by-step explanation:

Let

x ----> number of liters of 50% antifreeze solution

y ----> number of liters of 90% antifreeze solution

we know that

50%=50/100=0.50

90%=90/100=0.90

80%=80/100=0.80

x+y=200

x=200-y ------> equation A

0.50x+0.90y=0.8(200) -----> equation B

substitute equation A in equation B and solve for y

0.50(200-y)+0.90y=160

100-0.50y+0.90y=160

0.40y=160-100

0.40y=60

y=150 liters

Find the value of x

x=200-y

x=200-150=50 liters

therefore

The number of liters of 50% antifreeze solution is 50

The number of liters of 90% antifreeze solution is 150

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