Answer:
Step-by-step explanation:
That's B: the surface area.
The volume of the sphere is V = (4/3)πr³; A = 4πr² happens to be the derivative of V with respect to r.
Answer:
exact area = 25(pi) m^2
approximate area = 78.54 m^2
Step-by-step explanation:
diameter = 10 m
radius = diameter/2 = 10 m / 2 = 5 m
area = (pi)r^2
area = (pi)(5 m)^2
area = 25(pi) m^2
area = 78.54 m^2
X + 5 + 11x = 12x + y
Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)
Subtract 12x from each side makes each zero.
5 = y
So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82
x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125
x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989
So we verified y = 5
We can set up the width a X and, from the description the length would be 3X-1. The perimeter of a rectangle is determined by 2XL + 2Xw. Plugging into the equation 2(3X-1) + 2(X) = 118. Next distribute to get 6X-2 + 2X = 118. Combine like terms to get 8X = 120. Divide by 8 to get X = 15. The width is 15. The length is 3(15)-1 or 44. 88 +30 = 118
