Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the diameter is 18 so the radius is 1/2 d = 1/2(18) = 9
V = pi (9)^2 (8)
V =648 pi
Letting pi = 3.14
V = 648(3.14)
V =2034.72
Rounding to the tenths place
V =2034.7 ft^3
If you use the pi button
V = 2035.75204
Rounding to the tenths place
V =2035.8
Let the numbers are a and b; a - 5 = 2b, and -------------- (1)a2 + b2 = 250 ----------------(2) rewriting and squaring of (1) is given as; a2 = 4b2 + 20b + 25 -------- (3) substituting (3) into (2) (4b2 + 20b + 25) + b2 = 250, thus 5b2 + 20b - 225 = 0 by dividing both sides by 5 b2 + 4b - 45 = 0 solving the quadratic for b, we will get b = -9 or 5, substituting these for b in (1), we will get a asa = -13 or 15 However, if a and b must be positive integer, then a = 15 and b = 5 is the answer
Answer:
x = 3, y = 0
Step-by-step explanation:
2x - 2y = 6
x - y = 3
x = 3 + y
3(3 + y) + 2y = 9
9 + 3y + 2y = 9
5y = 0
y = 0
x = 3 + 0
x = 3
<span>L = 2W + 5
A = LW = 63
L = 63/W
W=63/L
L = 2W + 5
63/W = 2W + 5
63 = 2WW + 5W
2WW + 5W - 63 = 0
2WW + 5W - 63 = 0
is already in quadratic equation form: ax^2 + bx + c = 0
use the quadratic formula to solve for two solutions:
x = ( -b +- sqrt( bb - 4ac ) ) / 2a
the two solutions are:
x = 9/2
x = -7
you cant have a negative solution for length so use the positive one
solve for length:
L=5+2(9/2)
L=5+18/2
L=5+9
L=14
W = 9/2
L = 14</span>
