See below for the proof that the areas of the lune and the isosceles triangle are equal
<h3>How to prove the areas?</h3>
The area of the isosceles triangle is:

Where r represents the radius.
From the figure, we have:

So, the equation becomes

Evaluate

Next, we calculate the length (L) of the chord as follows:

Multiply both sides by r

Multiply by 2

This gives


The area of the semicircle is then calculated as:

This gives

Evaluate the square

Divide

Next, calculate the area of the chord using

Recall that:

Convert to radians

So, we have:

This gives

The area of the lune is then calculated as:

This gives

Expand

Evaluate the difference

Recall that the area of the isosceles triangle is

By comparison, we have:

This means that the areas of the lune and the isosceles triangle are equal
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What are the answer choices
Answer:
1. 87x20(4) divided by 20.
Step-by-step explanation:
Answer:
The total profit P(x) or the month is
.
Step-by-step explanation:
A company produces x units of a product per month.
The total cost represents by the function C(x).

The total revenue represents by the function R(x).

The profit is the difference between revenue and cost.



Combine like terms.


Therefore, the total profit P(x) or the month is
.
Answer:
C 117
Step-by-step explanation:
<2 = 63
<4 = <2 vertical angles
<4 + <7 = 180
63 + <7 = 180
subtract 63 from each side
<7 = 117