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
Read more about areas at:
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Answer:
1) x = 208 2) n = 28
Hope this helps! Have a great day!!
Step-by-step explanation:
1)
x - 72 = 136
+ 72 +72
x = 208
2)
n - 10 = 13 + 5
n - 10 = 18
+10 +10
n = 28
Im not real sure if this is it but if you start with 15,000 and its 4% for 5 years then <span>This investment will be worth: </span>$<span>18,250. hope it helps
</span>
Answer:
<h3> -8(2x +x )/-2y = - 30</h3>
Step-by-step explanation:
x=-5, y=2 and z=0
-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30
Answer: 7
Step-by-step explanation:
f(x) 3x+1
f(2) = 3(2) +1
f(2) = 6+1
= 7