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balu736 [363]
3 years ago
11

I have a square with a side of 5.25 in. There is a circle inside this square that is big enough to touch all four sides. What is

the area that is not inside the circle?
Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

5.9125in^2

Step-by-step explanation:

Step one:

Given data

Dimension of square= 5.25 in

Area of sqaure= 5.25^2= 27.5625  in^2

We are told that the sides of the circle touch the sides of the square

hence the diameter of the circle is 5.25in

radius= 5.25/2= 2.625 in

Area of  circle= πr^2

Area of circle = 3.142*2.625^2

Area of circle=3.142*6.890625

Area of circle= 21.65 in^2

Step two:

The area that is not inside the circle

=Area of square-Area of circle

=27.5625- 21.65

=5.9125in^2

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And

\\ \rm\Rrightarrow \dfrac{y}{2}+1=3

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A line passes through the point (-2,7) and had a slope of -5
Annette [7]

Answer:

a = -1

Step-by-step explanation:

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7 = -5*(-2) + c

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Answer:

The 99% confidence interval is   165.776  <  \mu <  180.224  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

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From the question we are told the confidence level is  99% , hence the level of significance is    

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=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

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Generally the margin of error is mathematically represented as  

      E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

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=>    E = 7.224

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

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ValentinkaMS [17]

Answer: D

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Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

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B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

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