I'll answer and explain, its pretty much the last question. Easy way to put it,
1 and 4 are diagonal from each other so they are the same number.
1 and 4 = 120
2 and 3 are diagonal so they both = 60
Same thing for the bottom
1=120
2=60
3=60
4=120
5=120
6=60
7=60
8=120
$68
divide 8 by 2 to get 4
multiply 17 times 4 to get 68
Answer:
Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft
Step-by-step explanation:
The Volume of a box with a square base of say;x cm by x cm and height
h cm is;
V = x²h
Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.
The formula for the surface area of the box described is given by;
A = x² + 4xh
However, we need A as a function of
only x, so we'll use the formula;
V = x²h
V = x²h = 10,976 ft³
So,
h = 10976/x²
So,
A = x² + 4x(10976/x²)
A = x² + 43904/x
So, to minimize the area, it will be at dA/dx = 0.
So,
dA/dx = 2x - 43904/x² = 0
Factorizing out, we have;
2x³ = 43904
x³ = 43904/2
x³ = 21952
x = ∛21952
x = 28 ft
since, h = 10976/x²
h = 10976/28² = 14 ft
Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft
Answer: See explanation
Step-by-step explanation:
Based on the scenario in the question, the expression to calculate the number of boxes of sugar Alonso can buys will be:
= 2.75 + 11.50S ≤ 55
When solved further, this will be:
2.75 + 11.50S ≤ 55
11.50S ≤ 55 - 2.75
11.50S ≤ 52.25
S ≤ 52.25 / 11.50
S ≤ 4.54
He can buy 4 boxes of sugar
10.5 is the answer to your question
