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NemiM [27]
4 years ago
13

What radius of a circle is required to inscribe a square with an apothem of 3.536 inches?

Mathematics
2 answers:
Alexeev081 [22]4 years ago
8 0

Answer: C) 5 in

Step-by-step explanation:

Got this right on USA test prep

prisoha [69]4 years ago
7 0

Answer:

The radius of the circle required is 5 inches

Step-by-step explanation:

we know that

The diagonal of the square is the diameter of the circle

The length side of the square is half the apothem

Let

a ----> the apothem

r ---> the radius of the circle (half the diagonal of the square)

Applying the Pythagorean Theorem

r^2=a^2+a^2

we have

a=3.536\ in

substitute

r^2=3.536^2+3.536^2

r^2=25\\r=5\ in

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Simplify <br>99=2(-7b-3)+7​
Arisa [49]

Answer:

b=-7

Step-by-step explanation:

Simplifying

99 = 2(-7b + -3) + 7

Reorder the terms:

99 = 2(-3 + -7b) + 7

99 = (-3 * 2 + -7b * 2) + 7

99 = (-6 + -14b) + 7

Reorder the terms:

99 = -6 + 7 + -14b

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99 = 1 + -14b

Solving

99 = 1 + -14b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '14b' to each side of the equation.

99 + 14b = 1 + -14b + 14b

Combine like terms: -14b + 14b = 0

99 + 14b = 1 + 0

99 + 14b = 1

Add '-99' to each side of the equation.

99 + -99 + 14b = 1 + -99

Combine like terms: 99 + -99 = 0

0 + 14b = 1 + -99

14b = 1 + -99

Combine like terms: 1 + -99 = -98

14b = -98

Divide each side by '14'.

b = -7

Simplifying

b = -7

5 0
3 years ago
Read 2 more answers
Please help will give brainliest!
Assoli18 [71]

Answer:

Yes, Yes, No, Yes.

Step-by-step explanation:

2/5 as a decimal = 0.4

4 ÷ 0.4 = 10

1 is correct.

2 x 10 = 20

2 is correct.

6 x 10 = 60

3 is incorrect.

10 ÷ 2 = 5

4 is correct.

7 0
3 years ago
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