15 points for answer and brainliest a bus traveled 120 miles in 2.5 hours. after picking up new passengers, it traveled another 105 miles in 2 hours. what was the average speed of the bus for the entire trip? round to the nearest hundredth, if necessary. 48.00 mi/h 50.00 mi/h 50.25 mi/h 52.50 mi/h

50.25

Step-by-step explanation:

mph is measured by doing distance/time

Therefore, it's average speed in the first part of the journey was 120 / 2.5 = 48mph

The average speed in the second part of the journey was 105 / 2 = 52.5mph.

The average speed over both parts of the journey would be (48 + 52.5) / 2 = 50.25mph. 

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.