Answer:
Base Side Length =1.59m
Height = 3.16 m
Step-by-step explanation:
Volume of the box =
Let the base dimensions = x and y
Let the height of the box =h
<em>However, for any optimal configuration, Width = Length as varying the length and width to be other than equal reduces the volume for the same total(w+l)</em>
Volume, V=xyh=8
Since x=y
Surface Area of the box
The material for the top and bottom costs twice as much as the material for the sides.
Let the cost of the sides =$1 per square meter
Cost of the material for the sides = 4xh
Cost of the material for the top and bottom =
Therefore:
Total Cost,
Substitution of into C
To minimize C(x), we find its derivative and solve for the critical points.
To verify if it is a minimum, we use the second derivative test
Since C''(x) is greater than zero, it is a minimum point.
Recall:
Therefore, the dimensions that minimizes the cost are:
Base Side Lengths of 1.59m; and
Height of 3.16 m
Answer:
It should be 16.416 (round if needed)
Explanation:
You find this using tangent because the diagram prompts you to use the angle, the opposite side of the angle, and the adjacent side. Tan= opposite/ adjacent
So you use tan46=17/x
Get x by itself
x= 17/tan46
^^ you can plug that into a calculator
Hope this helps
Answer:
13x - 3y + 4
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
5x + 6 - 3y - 2 + 8x
13x - 3y + 4
Answer: 13x - 3y + 4
Step-by-step explanation:
9$ x 71 hours (rewritten) 9x 71 = 639
plus the commission
10% x 1,901$ (rewritten) .1 x 1,901 = 190.1
639 + 190.1 = 829.1