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:
Well here's the issue...
Step-by-step explanation:
Since we have no idea what car you'll be using for the experiment, I can't tell you how many times you will have to fill er' up either. let's say you have a fuel efficient car like 27 mpg. that's highway and city combined. (34/25) And the trip is 216 miles round trip. And let's say you used 0 gallons while you were there. You would need to fill up exactly 8 times to get there and back. That's going off of 27 miles per gallon.
Hope this helps!!
-2m + 5 = 2m + 5
2m + 2m = 5 - 5
4m = 0
m = 0
-2m + 5 = -2m + 5
-2m + 2m = 5 - 5
0 = 0
-2m + 5 = -2m - 5
-2m + 2m = 5 + 5
0 = 10
Solution set is Ф
The third equation is the correct answer.
Answer:
Volume = 
cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x = 
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume = 
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume = 
