Mrs. heat has $54.79 in her wallet. she went to target and bought a sweatshirt for $29.99. when she was walking back to her car, she found $0.25 on the ground. then she went to jamba juice and bought herself a smoothie for $4.07. how much money does she have in her wallet now? show work

$54.79 - $29.99 = $24.80

$24.80 + .25 = $25.05

$25.05 - $4.07 = $20.98

Mrs.Heat has $20.98 dollars in her wallet now.

:)

the answer to the question is a  

it has the same slope and the same y-intercept.

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.