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2 years ago

Draw a graph for each inequality.

Mathematics

1 answer:

Naya [18.7K]2 years ago

6 0

Answer:

Step-by-step explanation:

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A cone shaped paper water cup has a height of 12 cm and a radius of 6 cm. If the cup is filled with water to half its height, wh

monitta

Answer:

The portion of the volume of the cup that is filled with water is $\frac{1}{8}$

Step-by-step explanation:

step 1

Find the volume of the paper water cup

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

we have

$r=6\ cm$

$h=12\ cm$

substitute

$V=\frac{1}{3}\pi (6)^{2}(12)$

$V=144\pi\ cm^{3}$

step 2

If the cup is filled with water to half its height, find out what portion of the volume of the cup is filled with water

Remember that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

In this problem the similar cone has half the height of the complete cone

The scale factor is equal to 1/2

therefore

The volume of the cup that is filled with water is equal to the volume of the complete cup by the scale factor elevated to the cube

$V=(1/2)^{3}(144\pi)=(1/8)144\pi\ cm^{3}$

therefore

The portion of the volume of the cup that is filled with water is

$\frac{1}{8}$

8 0

2 years ago

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How do you find a missing exponent? If the question is 2^3 x 2^5 = 2^?

kap26 [50]

Answer:

2^3 X 2^5 = 2^8

when multiplying indices with the same base number just add the indices

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2 years ago

Ruben bought 6 comic books for $21dollar , 21. Each comic book was the same price.

musickatia [10]

Answer:

3.5 dollars

Step-by-step explanation:

The price of one comic book is 3.5.

I got this by dividing 21 and 6

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2 years ago

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The first one is C y=-2x+20 the second ones is 17.6

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3 years ago

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Find the value of b in the rhombus below

jeka94

The value of b = 26.

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3 years ago