It's pandemic time and an airline is keeping close tabs on the cost for each of its flights. They are tracking the model of the plane, did the flight arrive on time, time in flight, the amount of fuel used, and of course, the number of passengers, because they pay for the flights after all. The number and type of variables recorded are: A:3 categorical, 2 quantitative (1 discrete, 1 continuous)
B:2 categorical, 3 quantitative (1 discrete, 2 continuous)
C:1 categorical, 4 quantitative (2 discrete, 2 continuous)
D:1 categorical, 4 quantitative (1 discrete, 3 continuous)

the answer is Find the erea of the trapezoid.

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: