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beks73 [17]
3 years ago
5

The sum of the areas of two circles is 80 pi square meters find the length of the radius of a radius of each circle if one of th

em is twice the orher
Mathematics
1 answer:
Leno4ka [110]3 years ago
3 0
Let x=small circle
2x = bigger circle

πx^2 + π(2x)^2 = 80π
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 16
x = +/- 4
but we need the positive one because there's no negative measurement so
the answers are:
4m and 8m
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Answer:

Step-by-step explanation:

First, turn the word problem into an equation:

n(a number) was divided by 2

\frac{n}{2}

followed by this quotient beying multiplied by 4

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the product was added to 9

\frac{n}{2}*4+9

the total sum was 25

\frac{n}{2}*4+9 = 25

use PEMDAS to solve the equation

subtract 9 on both sides

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cancel the 2 and the 4 using factorization

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2 years ago
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The difference between the two is found by subtracting them.
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