Laney walks one and two thirds of a mile to school from her house and rides the buss home. if she walked five days last week, how many miles did laney walk in total?

The answer to your question is: 8 and one third of a mile.

Step-by-step explanation:

Data

Laney walks 1 2/3

Process

Convert 1 2/3 into a improper fraction

                     1 2/3  =    (3 + 2) / 3  = 5/3

She walks only from home to school, then she walks 5 one way

                     5 (5/3) = 25/3

Convert to a mix fraction

                                              8 1/3 of a mile

step-by-step explanation:

just plug in each number for x and see which ones work and don't

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.