Answer: No they don't because there is not way 1/3 can be multiplied by a number to get 2/9 and there is no way 2/9 can be divide by any number to get 1/3.
Step-by-step explanation:
<h3>Given</h3>
a cuboid with length, width, height dimensions 5, 6, x
<h3>Find</h3>
the value of x that makes the numerical value of the total surface area equal to the numerical value of the volume
<h3>Solution</h3>
The volume is given by
... V = L·W·H = 5·6·x = 30x
The area is given by
... A = 2(L·W + H(L+W)) = 2(5·6 +x(5+6)) = 2(30 +11x) = 60 +22x
When these are equal, we have
... 30x = 60 +22x
... 8x = 60
... x = 7.5
The desired value of x is 7.5.
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:
C.60
Step-by-step explanation:
4×12=48
18-12=6
6×2=12
48+12=60
Answer:
Step-by-step explanation:
y=-1/3x+9
This is written in the format y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the slope of the reference line, in this case -(1/3). The new slope is 3. equation is:
y = 3x + b
To find b, enter the given point, (-6,-2) and solve for b:
y = 3x + b
-2 = 3(-6) + b
-2 = -18 + b
b = 16
The full equation is y=3x + 18