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She will hire EZ Excavation.

Step-by-step explanation:

For a company EZ Excavation,

Per cubic yards cost of the dirt =

                                                   =

                                                   = $24.5

Total cost of 40 cubic yards of the dirt = 40 × 24.5

                                                                   = $980

For second company Happy Hauling service,

Per cubic yard cost of the dirt =

                                                  = $25

Cost of 40 cubic yards of the dirt = 40 × 25

                                                       = $1000

Budget of the contractor = $1000

Cost of dirt offered by EZ Excavation is in her budget and she is saving $20.

Therefore, she will hire EZ Excavation.

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.