Answer:
x = 3π/4 radians = 135°
Step-by-step explanation:
The area of a sector of central angle α is ...
A = (1/2)r²α
Filling in the given values, we can find the central angle to be ...
54π cm² = (1/2)(12 cm)²x
x = (54π)/(72) = 3/4π . . . . radians
x = 135°
Sorry for the sloppy drawing but this is what it will look like
I did this on Snapchat btw
Answer:
The radius of the circles are
and 
Step-by-step explanation:
Let
x-----> the radius of larger circle
y----> the radius of smaller circle
we know that

-----> equation A
Remember that
-----> equation B
substitute equation B in equation A and solve for y





Find the value of x


therefore
The radius of the circles are
and 
Answer:
No solutions
Step-by-step explanation:
In this question, you would be solving for x.
Solve:
5 + 2(3 + 2x) = x + 3(x + 1)
Use the distributive property.
5 + 6 + 4x = x + 3x + 3
Combine like terms.
11 + 4x = 4x + 3
Subtract 4x from both sides.
11 = 3
Since we don't have an "x value", there are no solutions.
"No solutions" would be your answer.
The compass heading is 242.5deg