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Eddi Din [679]
3 years ago
12

What is the best estimate of an area of circle with a radius of 7.62 m

Mathematics
1 answer:
Grace [21]3 years ago
7 0
The best estimate would be 181.4
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=
svet-max [94.6K]

Answer:

The polygon has 9 sides

Step-by-step explanation:

we know that

A regular polygon has equal length sides and equal interior angles

step 1

Find the measure of the interior angle

Remember that

The interior angle plus the exterior angle must be equal to 180 degrees (form a linear pair)

Let

x ----> the measure of each interior angle in the regular polygon

so

x+40^o=180^o

solve for x

x=180^o-40^o=140^o

step 2

Find the number of sides of the regular polygon

we know that

The measure of each interior angle in a regular polygon is given by the formula

x=\frac{(n-2)180^o}{n}

where

n is the number of sides of the polygon

substitute the given values

140^o=\frac{(n-2)180^o}{n}

solve for n

140n=180n-360\\180n-140n=360\\40n=360\\n=9\ sides

therefore

The polygon has 9 sides

8 0
3 years ago
What is 0.24 numbers in two equivalent forms
zheka24 [161]
24/100 and 6/25 is are some of the equivalent form
8 0
3 years ago
Solve for y: y÷1 7/9 = 3/4
skelet666 [1.2K]

Answer:

y = 4/3

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
I need help with graphing​
Usimov [2.4K]
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7 0
3 years ago
Find the exact value of the following expression (without using a calculator): tan(Sin^-1 x/2)
Sati [7]

Answer:

tan(Sin^-1 x/2)=  \frac{x/2}{\sqrt{1-x^{2}/4 } }

Step-by-step explanation:

Let sin^-1 x/2= θ

then sinθ= x/2

on the basis of unit circle, we have a triangle with hypotenuse of length 1,   one side of length x/2 and opposite angle of θ.

          tan(Sin^-1 x/2) = tanθ

           tanθ= sinθ/cosθ

as per trigonometric identities cosθ= √(1-sin^2θ)

           tanθ= sinθ/ √(1-sin^2θ)

substituting the value sinθ=x/2 in the above equation

             tanθ= \frac{x/2}{\sqrt{1-x^{2}/4 } }

now substituting the value sin^-1 x/2= θ in above equation

             tan(sin^-1 x/2) =  \frac{x/2}{\sqrt{1-x^{2}/4 } }

!

3 0
3 years ago
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