Ten out of 22 students surveyed prefer milk with their breakfast. find the measure of the central angle to represent this data in a circle graph.
a. about 164°
b. about 101°
c. about 10°
d. about 22°

Option A is correct that is about 164°

Step-by-step explanation:

Given: Number of students survey = 22

           Number of students prefer milk with their breakfast = 10

We need to find measure of the central angle to represent it in a circle graph.

We know that total measures of central angles in a circle graph = 360°

So, Measure of central angle representing number of student preferring milk with breakfast =

                               =  

                               =  

                               ≈  

Therefore, Option A is correct that is about 164°

find the magnitude of the trig term  

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by taking the absolute value of the coefficient.

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find the lower bound of the range.

tap for more

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find the upper bound of the range.

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step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4