Answer:

Step-by-step explanation:
Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

Next we factor what we can so we can further simplify the rest of the equation:

We can now cancel out (x+2)

Next we factor out even more:

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

And we can now simplify it to:

Percent increase=increase/original times 100
increase=26-21=5
original=21
so
5/21 times 100=0.23809523809523809523809523809524 times 100=23.809523809523809523809523809524
round
24%
so 24% increase
Answer:
We would have

where " l " is length, " w" is width and "h" is height.
Step-by-step explanation:
Step 1
Remember that
Surface area for a box with no top = 
where " l " is length, " w" is width and "h" is height.
Step 2.
Remember as well that
Volume of the box = 
Step 3
We can now use lagrange multipliers. Lets say,

and

By the lagrange multipliers method we know that

Step 4
Remember that

and

So basically you will have the system of equations

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

Then you would get

You can get rid of
from these equations and you would get

And from those equations you would get

Now remember the original equation

If we plug in what we just got, we would have

Answer:
Surface area of pyramid = 1536 square inches.
Step-by-step explanation:
Surface area of a pyramid with the square base will be = surface area of base + 4× slant surfaces of the pyramid
area of square base = 24×24 = 576 inches²
area of one slant side of pyramid = (1/2)×side × slant height = (24×20)/2 = 240 square inches
Therefore surface area of complete pyramid = 4×area of slant side + surface area of square base = 4×240 + 576 = 960 + 576 = 1536 square inch.