Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We can find the radius from the diameter
r = d/2 = 34/2 = 17
V = (3.14) (17)^2 * 27
V =24501.42 m^3
The surface of a cone is found by
SA = pi r^2 + pi r l where l is the slant height
We can find the radius from the diameter
r = 8/2 = 4
SA =(3.14) * 4^2 + 3.14 * 4*7
=50.24+87.92
138.16 in^2
The lateral surface area of a pyramid is found by taking the area of the sides
LSA = 4 * the area of a triangle
we multiply by 4 since there are 4 sides
= 4 * 1/2 b*h where b is the base of the triangle and h is the height of the triangle. (in this case it would be the slant height)
= 2 * 8 *22
=352 m^2
Answer:
Step-by-step explanation:
we have
Solve for a
That means ----> Isolate the variable a
Factor 3 in the numerator right side
Simplify right side
subtract a both sides
subtract 1 both sides
Rewrite
Answer:
The answer is 85
Step-by-step explanation:
The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).
n in this case is 10 (the number of numbers in the series)
an is 22 (plug in 10 to the expression 3n-8)
and a1 is -5 (plug in 1 to the expression 3n-8)
so when you plug everything in to the final equation, you get
(10/2) * (-5 + 22)
5 * 17
85
Answer:
x=8
Step-by-step explanation:
When trying to figure this out, you may see that x might be 8. Since the angels are all 120 degrees and equal up to 360 degrees (full size,) x will equal 8.
Answer:
Step-by-step explanation:
commission from sale of $32,000 = $32,000 x 4% = $1,280
Suppose sales would double, comission would be doubled too.
Assume sales be S and commission be C
C = S * 4% (they have a linear positive relation)
if S double to 2S, new commission = (2S)*4% = 2*(S*4%) = 2 (old commission)
