Answer:
D
Step-by-step explanation:
Roots into factors:
x = -4 ----> (x + 4)
x = i -----> (x - i)
x = 5 -----> (x - 5)
(x + i)(x - 4)(x + 5)
(x - i)(x² - 4x + 5x - 20)
(x - i)(x² + x - 20)
x³ + x² - 20x - (ix² + ix - 20i)
x³ + (1 - i)x² - (20 + i)x + 20i
The height of package is 34 inches.
According to the statement
we have given that the perimeter of cylinderical package is 123 inches.
and we have to find the volume of this package.
So,
According to the perimeter
2(Pi)r + h = 123
and then
h = 123 - 2(Pi)r
then the volume become
V = (Pi) r^2h
V= (Pi) r^2 * [ 123 - 2(Pi)r ] = 123 (Pi) r^2 - 2(Pi)r^3
then differentiate it
dV/dr = 246(Pi) r - 6(Pi)r^2
Now take
r(246(Pi) - 6(Pi)r) = 0
then neglect r=0 and then find another value of r.
r = 246(Pi) / 6(pi)
here r=41 then
h = 123 - 2(Pi)r
h = 123 - 2(3.14)41
h = 123 - 2(Pi)r
Then put the value of r then h = 34 inches.
So, The height of package is 34 inches.
Learn more about Volume here brainly.com/question/1972490
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I solve this answer by multiplying my decimals so I can see which on is the greatest, the least, and equal too.
Answer:
H 33 degrees
Step-by-step explanation:
