Afourth-grade class of 185 student is going on a field trip. the students are taking vans that can hold 8 student. how many vans are needed for the trip

I used the calculator and it said 22.5 so idk exactly its either 22 or 23. Hope this Helps! :P

If each van can only hold 8 of the 185 students, you are dividing the students into groups of 8. So you are dividing 185/8 and you get 23.125. Now you can't have .125 of a van, so you need 24 vans to hold all the kids.

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.