Two friends, Skylar and Sofia, took summer jobs. The equation y 22.73x represents Sofia's earnings in dollars and cents, y, for working hours. The graph below represents Skylar's earnings in dollars and cents, y, for working x hours. Y Skylar's Earnings S600 $550 $500 $450 (20,$450) $400 S350 Earnings (Dollars) S300 S250 S200 (10, $225) $150 $100 $50 5 25 15 30 35 40 45 50 60 55

b

step-by-step explanation:

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.