Roxanne decides she's going to make cookies. her recipe requires her to use 1 1/4 cup of sugar for each batch. roxanne's mom checked and they have 15 cup od sugar in the house. how many batches of cookies can roxanne make with the sugar they have?

i was a little unclear about your sugar amount..

Step-by-step explanation:

if the amount was 1 1/4 ( 1 cup and 1/4 cup) them the answer would be 12

12 x 1.25 = 15

if the sugar amount was just 1/4 cup of sugar the answer would be 60

.25 x 15 = 60

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.

cant open file sorry!

step-by-step explanation: