Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin. Write the ratio of hours spent practicing violin to hours spent playing softball three different ways.

Given:

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.

To find:

The ratio of hours spent practicing violin to hours spent playing softball three different ways.

Solution:

We have,

Time spend on Softball = 5 hours

Time spend on Violin = 4 hours

The ratio to hours spent practicing violin to hours spent playing softball is

It can be written as

Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are and 4 to 5.

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.

entering that problem on the tube might get you an answer