Answer:
Step-by-step explanation:
Given
Suppose side face have a dimension of l\times l
and width of h
volume 

volume 
Area of side wall is 
Area of top Wall 
Area of bottom 
Cost of bottom wall 
Cost of top wall 
Cost of side walls 
total cost 


differentiate C w.r.t l to get minima or maxima






Dimension of Box is 
This problem can be modeled by the picture shown below. We notice that we are given to side lengths, specifically legs, of the triangle. Therefore, we can use the Pythagorean Theorem, which states that a^2+b^2=c^2, where a and b are legs and c is the hypotenuse. So we can do:
16^2+12^2=c^2
256+144=c^2
400=c^2
The square root of 400 is
20, which is our hypotenuse.
(You might wonder why we used 12, that is because the whole base length is 24, but we only need half of the base to use the Pythagorean Theorem. 24/2 is 12).
:)
Answer:26
Step-by-step explanation:
85*2=170
170+64+x=360
234+x=360
x=126
We calculate the floor area of the kitchen:
A = (22) * (16)
A = 352 feet ^ 2
We consider the following conversion:
1 foot = 12 inches.
Applying the conversion we have:
A = 352 * (12/1) ^ 2
A = 50688 in ^ 2
We calculate the area of each tile:
A = (16) * (16)
A = 256 in ^ 2
Then, the number of tiles is given by:
N = (50688) / (256)
N = 198
Answer:
He needs to buy 198 tiles
Answer:
,
and 
Step-by-step explanation:
The vector equation of the line is:


The parametric equations of the line are:
and 