First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:

Step-by-step explanation:

Answer:
3:4:7
Step-by-step explanation:
2/7 is apple juice
1/2 is orange juice
2/7 + 1/2=4/14+7/14=11/14
14/14 - 11/14=3/14
3/14 is cranberry juice
4/14 is apple juice
7/14 is orange juice
the ratio is 3/14 to 4/14 to 7/14
the ratio simplified is 3:4:7
Job A pays better
there are roughly 52 weeks in a year so multiply that by 40 to get the total hours worked in a year. = 2,080
2,080 hours worked per year multiplied by the hourly pay 9.95 = 20,696
Job A pays $20,696 per year
Job B only pays $17,500
Answer:
x = 50
Step-by-step explanation:
Let x be the original price.
He got 30% off
The discount is .30x
Subtract this from the original price to get the price he paid
x - .30x = price he paid
.70x = price he paid
.70x = 35
Divide each side by .7
.70x/.7 = 35/.7
x=50