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:
cant tell what ths says
Step-by-step explanation:
Answer:
3(9-3x+5y)
Step-by-step explanation:
Answer:
H0 : p = 0.75 against H1: p > 0.75 One tailed test.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0 : p = 0.75 against H1: p > 0.75 One tailed test.
In this case H0 is not defined as p≤ 0.75 because the acceptance and rejection regions cannot be set up. Therefore we take the exact value of H0 : p= 0.75.
The claim is that the probability of the workers getting their job through the internet is greater than 75% or 0.75.
As H0 is supposed to be less than we choose H1 to be greater than equality.
The value of n in given proportion is 16
<u><em>Solution:</em></u>
We have to find the value of "n" in the proportion
<em><u>Given proportion is:</u></em>
<em><u></u></em>
<em><u></u></em>
We can solve the above proportion by cross-multiplying
Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction
Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction
Set the two products equal to each other
Solve for the variable
Thus the value of n in given proportion is 16
