Identify the
1. control group
2. independent variable
smithers thinks that a special juice will
increase the productivity of workers. he
creates two groups of 50 workers each and
assigns each group the same task (in this
case, they're supposed to staple a set of
papers). group a is given the special juice
to drink while they work group b is not given the special juice.
after an hour, smithers counts how many stacks of papers each
aroup has made group a made 1,587 stacks, group b made
2,173 stacks
3. dependent variable
4. what should smithers' conclusion
be?
5. how could this experiment be
improved?

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.

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step-by-step explanation:

step-by-step explanation: