I think the shape is an right angel. And for the answer to h is 90° and i think for b it is 45°. I hope this helps :)
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
Answer:
Yes
Step-by-step explanation:
y is said to be a function of x. where x is the independent variable and y is the dependent variable. The height of the stacks is y and the number of cups in the stack is x, so yes, we can say that the height of the stack is a function of the number of cups in the stack.
Answer:
first put the numbers on the lines then plot the points that are given
Step-by-step explanation:
first with the numbers of the line then plot the points that are given and you will find the slope and y-intercept of the equation
Answer:
Slide 1:
1. Solution = (-3,2)
<em>y = 2x - 1</em>
<em>y = 3/2x + 6</em>
2. No solution
<em>y = -4/2x + 4</em>
<em>y = -4/2x - 5</em>
Slide 2:
3. Solution = (1, -6) ONE SOLUTION
4. Solution = (-4, -1) ONE SOLUTION
p.s i attached the graphs for problems 3 and 4. The first picture is for problem 3 and the second picture is for problem 4
I really hope this helped :)
