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Kobotan [32]
3 years ago
11

Can someone help? ( I need it by 10/20)

Mathematics
1 answer:
Hoochie [10]3 years ago
4 0
<h3>Answer:  x = 12</h3>

=====================================================

Explanation:

C is the midpoint of AB. This means AC is half as long as AB

Put another way, AB is twice as long as AC

AB = 2*AC

AB = 2*( AC )

32 = 2*( x/2 + 10 )  .... substitution

32 = 2*(x/2) + 2*10 ... distribute

32 = x + 20

x+20 = 32

x = 32-20 .... subtract 20 from both sides

x = 12

---------

If x = 12, then

AC = x/2 + 10

AC = 12/2 + 10

AC = 6+10

AC = 16

which is half of AB = 32, so it confirms our answer.

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Answer:

The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

Step-by-step explanation:

The area (A) of each pizza is given by:

A = \pi r^{2}

Where:

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For the 12-inch pizza we have:

A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch

And for the 6-inch pizza we have:

A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch

The ratio between A₆ and A₁₂ is:

\frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4}

Hence:

A_{6} = \frac{A_{12}}{4}

Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.

I hope it helps you!            

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