The city purchased 24 new buses that each hold 32 passengers. it also purchased 18 new smaller buses that each hold 27 passengers.

what is the greatest number of passengers that could be on all the new buses if all the seats were filled?

24 buseseach holding 32 passengers24*32 = 768 passengers
18 smaller buseseach holding 27 passengers18*27 = 486 passengers

for a total of : 768 + 486 = 1254 passengers <==

Answer: 10pi

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.

Suredude why not right