Kyle has three pieces of rope. the lengths of the ropes are 241.6 centimeters, 241.38 centimeters, and 264.7 centimeters. what is the difference in length between the longest and shortest pieces of rope?

2points
show your work on your scratch paper.

answer below in at least one complete sentence.

16.32 cm

Step-by-step explanation:

The first step here is to identify the longest and shortest ropes and to set aside the medium-length rope for a moment.

The lengths are, in ascending order, 243.38 cm, 241.6 cm and 264.7 cm.

To answer this question, subtract the shortest length (243.38 cm) fromt the longest (264.7 cm):

 264.7 cm

- 248.38 cm

     16.32 cm is the difference in length between the longest and the shortest piece of rope.

518,400

step-by-step explanation:

the area is multiplying all the given measurements together.

40 * 18 * 30 * 24 = 518,400

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.