Answer:
36π
Step-by-step explanation:
The area of a circle is given as:

where r = radius of the circle
The area of a sector of a circle is given as:

where α = central angle in radians
Since
is the area of a circle, A, this implies that:

A circle has a sector with area 33 pi and a central angle of 11/6 pi radians.
Therefore, the area of the circle, A, is:

The area of the circle is 36π.
Answer:
Dori has $48 left.
Step-by-step explanation:
The boat costs twice as much as the goggles, divide 8 by 2 to find the price of the goggles. The price of the goggles is $4.
Add $8 and $4 to get $12. This is the total money Dori spent.
Since this is 1/5 of her money, multiply $12 by 5 to get $60. This is the money Dori had.
Subtract the $12 from the $60 to get $48. This is the money Dori has left.
Your answer is 98. Is there a multiple choice?
Answer:
210 mph
Step-by-step explanation:
speed of jet = x
headwind: speed = x - 27
time taken = 1134.6/(x - 27)
tailwind: speed = x + 27
time taken = 1469.4/(x + 27)
same amount of time:
1134.6/(x - 27) = 1469.4/(x + 27)
Cross multiply,
1134.6(x + 27) = 1469.4(x - 27)
1134.6x + 30634.2 = 1469.4x - 39673.8
334.8x = 70308
x = 210 mph