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MariettaO [177]
3 years ago
12

Solve this system of linear equations. Separate

Mathematics
1 answer:
zepelin [54]3 years ago
5 0

Answer:

Step-by-step explanation:

-9x + y = 16

12x + y = -5

12x + y = -5

9x - y   = -16

21x = -21

x = -1

9 + y = 16

y = 7

(-1,7)

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A conical container can hold 120π cubic centimeters of water. The diameter of the base of the container is 12 centimeters.
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Answer: The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

V=\frac{\pi r^2h}{3}

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We know that the radius is half the diameter. Then:

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120\pi cm^3=\frac{\pi (6cm)^2h}{3}\\\\(3)(120\pi cm^3)=\pi (6cm)^2h\\\\h=\frac{3(120\pi cm^3)}{\pi (6cm)^2}\\\\h=10cm

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V=\frac{\pi (12cm)^2(20cm)}{3}=960\pi cm^3

Then, to compare the capacities, we can divide this new capacity by the original:

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Therefore,  the container's capacity would be 8 times its original capacity.

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