Step-by-step explanation:

Thus, mean and median are same.
We need to determine the radius and diameter of the circle. If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,
A = 10 pi in^2 = pi*r^2. Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.
Thus, the diam. of the circle is 2sqrt(10) in. This diam. has the same length as does the hypotenuse of one of the triangles making up the square.
Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square. So, 4(10) in^2 = 2x^2. Then:
40 in^2 = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20). The area of the square is the square of this result:
Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer). Compare that to the 10 pi sq in area of the circle (31.42 in^2).
Answer:
1) 
2) 
3) 
4) 
5) 
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:


Simplifying both sides by 5

Question 2:


Simplifying both sides by 20

Simplifying by 3

Simplifying by 2

Question 3:


Simplifying both sides by 7

Simplifying both sides by 3

Question 4:



Question 5:


Simplifying by 2, both sides

Simplifying by 8, both sides

Answer: w + 5
Step-by-step explanation: The sum of w and 5 translates into an algebraic expression form to w + 5.
2 negatives can be converted to a plus sign. -(-x) can be +x or just x.
-54--23
-54+23
<u>23-54=-31</u>
78--4
<u>78+4=82</u>
-48/-6
Now let's pause fer a sec. When a negative is being divided by another negative, the quotient(answer to division problem) becomes a positive.
<u>-48/-6=8</u>
<u></u>
<u>50*-4=-200</u>
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hope it helps