The table shows the results of a survey of seventh-grade students in the lunch-line CHART:
Drink / Students
Chocolate Milk / 15
Soda / 12
Milk / 6
Water / 2

If there are 245 seventh-graders in the school, how many can be expected to prefer chocolate milk?

A: 45
B: 84
C: 90
D: 105

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D

Look at the picture. :)

answer: 1 2 3 6

step-by-step explanation:

1x6=6 2x3=6

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.