If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides
and
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.

The derivative of this function is

and it equals zero if and only if

If we evaluate the volume function at these points, we have

So, the maximum volume is given if you cut a square with side length

Answer:

<h3>★ Value of x is <u>8.1</u>.</h3>

<h3>★ Value of H is <u>12.8676</u>.</h3>
Remember:
- tan∅=Perpendicular/Base
- sin∅=Perpendicular/Hypotenuse
The relationship between variance and standard deviation is :
Standard deviation = sqrt (variance),
Variance = standard deviation^2.
hope this help
H the equation has x = 4 and x = -4 as it’s only solutions is true
To solve for a, you must get a by itself on one side of the equation. Now, a is "joined" to m by multiplication. To "separate" them, use the inverse operation, division.
Divide both sides of the equation by m.