It’s an logistic management i don’t know what is the question doe
Answer:
a = length of the base = 2.172 m
b = width of the base = 1.357 m
c = height = 4.072 m
Step-by-step explanation:
Suppose we want to build a rectangular storage container with open top whose volume is 12 cubic meters. Assume that the cost of materials for the base is 12 dollars per square meter, and the cost of materials for the sides is 8 dollars per square meter. The height of the box is three times the width of the base. What’s the least amount of money we can spend to build such a container?
lets call a = length of the base
b = width of the base
c = height
V = a.b.c = 12
Area without the top:
Area = ab + 2bc + 2ac
Cost = 12ab + 8.2bc + 8.2ac
Cost = 12ab + 16bc + 16ac
height = 3.width
c = 3b
Cost = 12ab + 16b.3b + 16a.3b = 12ab + 48b² + 48ab = 48b² + 60ab
abc = 12 → ab.3b = 12 → 3ab² = 12 → ab² = 4 → a = 4/b²
Cost = 48b² + 60ab = 48b² + 60b.4/b² = 48b² + 240/b
C(b) = 48b² + 240/b
C'(b) = 96b - 240/b²
Minimum cost: C'(b) = 0
96b - 240/b² = 0
(96b³ - 240)/b² = 0
96b³ - 240 = 0
96b³ = 240
b³ = 240/96
b³ = 2.5
b = 1.357m
c = 3b = 3*1.357 = 4.072m
a = 4/b² = 2.172m
<span>Find an equation for the line parallel to 2y+4x = 8 and goes through the point (-3,3). Write your answer in the form y=mx+b.</span>
The number 8 is a multiple of 16, 2 x 8 = 16 . And the number 8 + 10 = 18
So, I would think it's 8.
Hope I was able to help you. :-)
Answer:
d = 6.997 or 7
Step-by-step explanation:
Use Pythagorean Theorem to find the diagonal of the end of the prism
2^2 + 3^2 = C^2 Simplify
4 + 9 = C^2 Add
13 = C^2 Take the square root of both sides
3.6 = C
Now plug this into the Pythagorean Theorem equation for the diagonal of the whole prism.
3.6^2 + 6^2 = d^2 Simplify
12.96 + 36 = d^2 Add
48.96 = d^2 Take the square root of both sides
6.997 = d This can be rounded up to 7, if needed