Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
Answer:
c. 50
Step-by-step explanation:
Answer:
<R = 158
Step-by-step explanation:
Supplementary angles equal 180 degrees.
<Q + <R =180
22 + <R = 180
Subtract 22 from each side
22-22 + <R = 180-22
R = 158
Answer:
10 is the answer
Step-by-step explanation:
C(5,2) = 5! / 2! (5-2)!
C(5,2) = 5! / 2!3!
C(5,2) = 120/12
C(5,2) = 10
It is asking to find the cost (c) for (p) number of pizzas at $8 each. So 1 pizza would be $8 and 2 would be 2 * 8 = 16 and 3 would be 3 * 8 = 24 and 4 would be 4 * 8 = 32 and p would be p * 8 = c. So the answer is:
c = 8p
15. a ratio is a fraction comparing numbers showing how they relate to each other.
if she mixed 3 ounces of blue and 2 of yellow, this would make 5 ounces of green paint. So the ratio is 3/2. to get 20 ounces of green paint she would have to do this mixture 4 times since she gets five each time. If she mixes 2 ounces of yellow paint four times, she would use 4 * 2 = 8 ounces of yellow painy
