Emma buys and sells parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought rims for $75.00 each and later sold them for $136.00 each. What is Emma's total profit?

Step-by-step explanation:

She bought two tires for $35.00 each. This means that the total amount for which she bought the tires is

35 × 2 = $70

She later sold them for $65.00 each. This means that the total amount for which she sold the tires is

65 × 2 = $130

Her profit from the tires is

130 - 70 = $60

She bought rims for $75.00 each. This means that the total amount for which she bought the rims is

75 × 2 = $150

She later sold them for $136.00 each. This means that the total amount for which she sold the rims is

136 × 2 = $272

Her profit from selling the rims is

272 - 150 = $122

Her total profit is

60 + 122 = $182

Step-by-step explanation:

2 Tires @$35 each =$70

Sold each @$65 = $130

2 Rims @$75 each = $150

Sold each @$136 = $272

Therefore, $130 -$70 + $272 - $150

= $60 +$122

Emma's total profit = $182

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.