Explain how to estimate the sum of the distances ran in

the three months to the nearest kilometer.

total distance andrea ran (kilometers)

march

april

may

48.7

31.2

35.66

The estimated sum of the distances ran in  the three months to the nearest kilometer is 116.

Step-by-step explanation:

Consider the provided Table.

Months     Total Distance Andrea Ran

March                     48.7  kilometers

 April                      31.2  kilometers

May                        35.66 kilometers

First round up the number to the nearest ones place as shown:

Months     Total Distance Andrea Ran

March                  48.7  ≈ 49 kilometers

 April                   31.2  ≈ 31 kilometers

May                     35.66 ≈ 36 kilometers

Now add them

49+31+36=116 kilometers

Hence, the estimated sum of the distances ran in  the three months to the nearest kilometer is 116.

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.

the answer is. -82562234434584

step-by-step explanation: