Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?

Jennifer made $59.

$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.

$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.

If this is incorrect, please, don't refrain to tell me.

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.