The height could be 2 inches and the width could be 4 inches which means it's a total of 8 squared inches
for a triangular prism, its volume will simply be <u>area of its base</u> times its length.
the are of the base for this one is simply any of those triangular bases. Now, let's notice, the right-triangle has a base of 9 and a height o 9, notice the tickmarks, whilst the prism also has a length of 13.
Answer:
width = 1.77845 ft
length = 7.1138 ft
height = 5.691 ft
total cost = $759.09
Step-by-step explanation:
volume = length x width x height
length = 4 width
base of the rectangle = 4 x 1 w = 4w²
72 (volume) = 4w²h
18 = w²h
f(c) = (2 x 4w² x $10) + (2 x wh x $5) + (2 x 4wh x $5)
f(c) = 80w² + 10wh + 40wh
f(c) = 80w² + 50wh
since we need only 1 variable (width), we have to substitute h:
h = 18/w²
f(c) = 80w² + 50w(18/w²) = 80w² + 900/w
f'(c) = 160w + 900/w²
0 = (160w³ + 900)/w²
0 = 160w³ + 900
0 = 20(8w³ + 45)
0 = 8w³ + 45
8w³ = -45
w³ = -45/8
w = ∛-45/8 = -1.77845 and 1.77845
since w cannot be negative, then it must be 1.77845
Answer: The answer is C. hope i got it correct
Step-by-step explanation:
when r = c is the break even point.
since r = 14x and c = 12x + 36000, then the break even point is when 14x = 12x + 36000
subtract 12x from both sides of this equation to get 14x - 12x = 36000.
combine like terms to get 2x = 36000.
divide both sides of this equation by 2 to get x = 18000.
that'a our answer.
the revenue will be equal to the cost when 18000 units are sold.
revenue = 14 * 18000 = 252000.
cost = 12 * 18000 + 36000 = 252000.
