Answer:
<u>The final curse load of the local gym instructor is this:</u>
<u>High-‐impact aerobics = 1</u>
<u>Low-‐impact aerobics = 4</u>
<u>Jazzercise = 1</u>
<u>Step exercise = 2</u>
Step-by-step explanation:
1. Let's apportion the class load using the Hamilton method
Number of classes the local gym instructor can teach = 8
Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)
Standard divisor = 114/8 = 14.25
Now, we can apportion the students in in Standard quotas, this way:
High-‐impact aerobics = 8/14.25 = 0.5614
Low-‐impact aerobics = 64/14.25 = 4.49
Jazzercise = 11/14.25 = 0.7719
Step exercise = 31/14.25 = 2.1754
Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:
High-‐impact aerobics = 0
Low-‐impact aerobics = 4
Jazzercise = 0
Step exercise = 2
As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.
<u>The final course load is this:</u>
<u>High-‐impact aerobics = 1</u>
<u>Low-‐impact aerobics = 4</u>
<u>Jazzercise = 1</u>
<u>Step exercise = 2</u>
, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so: 
≈ 240°