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A cheesecake has equally sized slices. Each slice is a different flavor. The diameter of the cheesecake is 10 inches, and the area of the slice of blueberry cheesecake is  25π/12 square inches.

How many slices does the cheesecake have?

 May 13, 2020
 #1
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The radius  = 5 in

 

The area of the  cheesecake  =     pi * (5)^2  =  25 pi

 

So....the  area  divided by the number of  slices  will  equal the area  of one of the slices.....let  the number of slices  = N

 

So  we  have this

 

(25 pi) / 12  =  25 pi  /  N         divide out pi

 

(25/12)  = 25 / N          rearrange as

 

N =  25  / ( 25/12)

 

N = (25/1) ( (12/25)

 

N  = 12

 

cool cool cool

 May 13, 2020

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