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AnnyKZ [126]
3 years ago
14

Help with the following problem please

Mathematics
1 answer:
Effectus [21]3 years ago
3 0
Given:
The largest circle has a radius of R=7 units.
Let x be the radius of the large shaded circle.
The small shaded circles have a radius of 1/5 of the large shaded circle.
=> the small shaded circles have a radius of r=x/5

By adding up radii, we have the equation
2(r+x+r)=2(x/5+x+x/5)=2R=2*7=14
Simplify:
7x/5=14/2
x=5
=> r=1

Area of outer circle                  = \pi R^2=\pi7^2=49\pi
Area of large shaded circle      = \pi x^2=\pi5^2=25\pi
Area of 4 small shaded circles = 4\pi r^2=4\pi1^2=4\pi
Total area of shaded circles     =25\pi+4\pi=29\pi

Shaded area as a fraction of that of the outer circle 
=\frac{29\pi}{49\pi}=29/49

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Answer:

x = 3

Steps:

- ( {x}^{2}  - 6x + 9) = 0

-  {(x - 3)}^{2}  = 0

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There you go!

8 0
3 years ago
Please I need help on this
Stolb23 [73]

Answer:

8.4

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5 0
3 years ago
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Please help with this 10 pts
Sever21 [200]
I think it is a direct variation because if you divide 9/3, 27/3, 39/13, and 60/20 it will all give you the same number which is 3.
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6 0
3 years ago
75.072 divided by 9.6
Reil [10]

Answer:

7.82

Step-by-step explanation:

I solved it

6 0
3 years ago
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goldenfox [79]
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C = 8π
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In short, Your Answer would be 25.12

Hope this helps!
6 0
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