Answer:
Mean = 70
Step-by-step explanation:
(-12)2 equals 144 -122 equals 22
First off, the formula for finding the volume of a cylinder is: V=pi × radius² × height
So, because the diameter is 8 inches, to find radius, we just divide by 2 so R=8÷2=4. The radius is 4 inches.
Then because it said that the height is 3 times the radius, 3×4=12. The height is 12 inches.
Now, we can plug in our information and use the formula to find the volume (V=pi × r² × h) :
V= 3.14×4²×12
=3.14×16×12
=608.88 cubic cm ( it can also be written 608.88 cm³)
And there you have the volume. (If this is wrong, then I apologize. I'm pretty sure it's correct tho. If it is wrong, I'll be happy to try to solve it again for you.)
To solve a problem like this, you will need to use substitution or elimination. For the sake of an example I will solve this using substitution.
First, solve one of the equations for x or y:
3x-5y=-39
3x=-39+5y
X=(-39+5y)/3
Then substitute for the value of x in the second equation:
6x+2y=-42
6((-39+5y)/3)+2y=-42
Solve for y:
-78+10y +2y=-42
-78+12y=-42
12y=36
Y=3
Once you've solved for y, you can plug in it's value to find x:
X=-39+5(3)/3
X=-24/3
X=-8
So, we can conclude that the correct answer is B. (-8,3)
Perimeter (P) = 2 · Length(L) + 2 · Width (W) → P = 2L + 2W
Solve for either L or W (I am solving for L).
200 - 2W = 2L
(200 - 2W)/2 = L
100 - W = L
Area (A) = Length (L) · Width (W)
= (100 - W) · W
= 100W - W²
Find the derivative, set it equal to 0, and solve:
dA/dW = 100 - 2W
0 = 100 - 2W
W = 50
refer to the equation above for L:
100 - W = L
100 - 50 = L
50 = L
Dimensions for the maximum Area are 50 ft x 50 ft
