# The sum of the areas of two circles is 8pie square meters. Find the length of a radius of each circle ifone of them is twice as long as the other.what is the radius of the larger circle?

area=pir^2
the areas are
pir^2+pi(2r)^2

8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5

## Related Questions

Round this number to nearest 100 5,382,619

5,382,600

Hope it helps ❤️

it should be 5,382,600

Harriet has 3/4 tank of gas left in her car. if she needs 1/4 tank to go to her friends house and another 1/4 tank to get back home,does she have enough gas? explain your answer

Harriet has enoughgas to make the trip to her friend's house and back without needing to refuel her car.

### What is Fraction?

A fraction represents a part of a whole.

Given that Harriet has 3/4 tank of gas left in her car.

She needs 1/4 tank to go to her friends house and another 1/4 tank to get back home.

We need to check whether she has enough gas for her trip.

Since Harriet has 3/4 of a tank of gas left, she has 1/4 of a tank already used.

She needs another 1/4 of a tank to go to her friend's house and another 1/4 of a tank to get back home.

Altogether, she needs 1/4 + 1/4 = 1/2 of a tank for the round trip.

Hence, Harriet has enoughgas to make the trip to her friend's house and back without needing to refuel her car.

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Ok so if you add the two 1/4's you will find how much gas she needs total to complete the trip. So do 1/4 + 1/4 and get 1/2. Next you can see that 3/4 is larger than 1/2, so she has enough gas.
Hope that helps!

The graph shows the water level in a bathtub, in inches, over time, t, in minutes. For which values of t (time) is the water level unchanging?

Choose all answers that are correct.

A.
from t = 0 to t = 3

B.
from t = 3 to t = 5

C.
from t = 5 to t = 7

D.
from t = 7 to t = 12

E.
from t = 12 to t = 15

B. 3 to 5 & D. 7 to 12. because unchanging, in this case, means not moving.(or the flat lines)
i would all so say B and D have a nice day sweetie sorry im nice lol

Find two ratios that are equivalent to 2/12

1/6
4/24

first one is half the denominator and numerator

second one is double

Which best describes how to get from the origin to the point (–6, 9)? A. Move 6 units down, then 9 units to the right. B. Move 6 units to the left, then 9 units up. C. Move 6 units to the left, then 9 units down. D. Move 6 units down, then 9 units to the left.

the -6 means it would go left, and the 9 would mean go up.

Which factorization of 24 includes a
perfect square?
A. 2-12
B. 3-8
C. 4-6