Find the discounted price of the item.
radio: $58.00
discount: 40%

34.8

Step-by-step explanation:

Cross multiply and divide will help you find the solution.

Discounted price: 60% / 100% and X / Radio:$58

Put them side by side and multiply 58 by 60 then divide by 100 and that will be the amount the discounted item is, we are not using the 40 because thats the amount that is taken off of the radio not the cost of the discounted radio itself.

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.

14

step-by-step explanation:

14 x 3 = 42