Answer: 
Step-by-step explanation:
Geometric mean= Number of terms root of the product of all the terms of that sequence
sqrt(2sqrt(5)*5sqrt(2))= 10sqrt(10)
Answer: The volume is 288π .
Step-by-step explanation:
V= 4/3 *n*r^3
V = 4/3*n * 6^3
v=4/3 *n * 216
v= 288n
Answer:
G. 7600 
Step-by-step explanation:
Step 1: Deconstruct the shape
2 rectangles with dimension of 50 cm x 20 cm
2 rectangles with dimension of 40 cm x 20 cm
2 rectangles with dimension of 40 cm x 50 cm
Step 2: Find surface area of the shapes
2(50 x 20) = 2000
2(40 x 20) = 1600
2(40 x 50) = 4000
Step 3: Add the surface areas together
2000 + 1600 + 4000 = 7600
Therefore the surface area is 7600 and the answer is G.
Answer:
$40.60
Step-by-step explanation:
First I am going to assume that these are both right triangles based off of look and because it is much easier. Without it you have to use law of sines or law of cosines...
So to find x you must first find y which can be done simply by using the pythagorean theorem. This theorem is defined as the sum of the squared legs is equal to the sum of the hypotenuse or x^2 + y^2 = z^2
If we substitute in the known values 16^2 + y^2 = 20^2 and solve for y we get that y = sqrt(20^2 - 16^2), this then simplifies to y = 12
Finding x is much more annoying, the easiest way I can immediately see is to find the upper angles by doing sin(16/20) and then 90 - sin(16/20) since the complementary angle is the one you want. I don't have a calculator or a trig table with me right now but I will tell you that x will be equal to 12 ÷ the inverse cosine of the angle (90degrees - sin(16/20)).
I am pretty sure the answer is D though because we know for sure y = 12 and x has to be greater than y because the hypotenuse must be larger than both legs. It could be E but you won't know unless you do the math for x. So it is either D or E but I would be surprised if a Professor made you do all of the work just to say it doesn't work...
