Answer:
6ft by 8ft
Step-by-step explanation:
1/4 inch = 1 ft
1 1/2 inches has six 1/4 inches
6 times 1 = 6ft
2 inches has eight 1/4 inches
8 times 1 - 8 ft
so its 6ft by 8ft
Fraction is 2.161616/1000000
mixed number is 2 161616/1000000
the line is negative because it goes down as you move right
slope = rise/run = 4/2 = 2
y = 2x+b
use a point on the line - I picked (-4, 3)
3 = 2(-4)+b
3 = -8+b
11 = b
<h2>
y = 2x +11</h2>
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:
Just say you have no friends you will beat the system.
