4. In one week, Jenny worked a total of 22 hours at a movie theater and a 10 points car wash. Jenny earned $8.50 per hour at the movie and $8.00 per hour
at the car wash. She earned a total of $181 for the week. How many hours
did she work at the car wash?*
A. 8
B.10
C.11
D. 12

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.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

cosine

step-by-step explanation: