Answer: A and B I think
Step-by-step explanation:
Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.

To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get




GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get




Now, the perimeter of the triangle CDE is:



Therefore, the perimeter of the triangle CDE is 56 units.
Answer:
42.95x + 21.95y
Step-by-step explanation:
Answer:
<em>The surface area of the sphere is 314 mi².</em>
Step-by-step explanation:
According to the given diagram, the diameter of the sphere is 10 mi.
If the radius is
, then diameter 
So....

<u>Formula for the surface area of a sphere</u>: 
Plugging the value of
into this formula, we will get...
![A_{S}=4\pi(5)^2\\ \\ A_{S}=4\pi(25)\\ \\ A_{S}=4(3.14)(25)\ \ [Using\ \pi=3.14]\\ \\ A_{S}=314](https://tex.z-dn.net/?f=A_%7BS%7D%3D4%5Cpi%285%29%5E2%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%5Cpi%2825%29%5C%5C%20%5C%5C%20A_%7BS%7D%3D4%283.14%29%2825%29%5C%20%5C%20%5BUsing%5C%20%5Cpi%3D3.14%5D%5C%5C%20%5C%5C%20A_%7BS%7D%3D314)
So, the surface area of the sphere is 314 mi².