Total distance around a shape
Answer:

Step-by-step explanation:
The area of a pie-slice shape can be found with the equation
where n is the angle of the shape and r is the radius of the circle. In this case, n=60 and r=6. Therefore, the total area of the pie-slice is 
Next, the triangle that makes up the unshaded part of the segment is an equilateral triangle because the angle is 60. The area of an equilateral triangle is
where r is the length of one of its side (in this case, r=6). Plugging that in, we get an area of 
Finally, the area of the shaded is the area of the pie-slice minus the area of the triangle: 
We will turn the left side into the right side.

Use the identity:



Now use the identity
solved for sin^2 x and for cos^2 x.





multiply both sides by the reciprocal
x = 85⅓
We would expect her to make about 85 business calls in a month.
Step-by-step explanation:
The equation means "3/8 of the unknown total is 32"
When we multiply 3/8 by its reciprocal, it becomes 1 and cancels on the left.
8/3 times 32 is a mixed number, so it is reasonable to round it to a whole number of calls.
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I hope I read this question correctly. The coding for the fraction made it a bit confusing.