Answer:
rotation
Step-by-step explanation:
"Isometric" means all measures stay the same.
- dilation changes all lengths
- <em>rotation changes no measures -- an isometric transformation</em>
- side length change obviously changes the length of a side
- angle change obviously changes the measure of an angle
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:
27.5
Step-by-step explanation:
first you find what 30x30 is as A squared plus B squared is equal to C squared. your A is 12 and your C is 30.
so!
30x30 is 900
12x12 is 144
subtract 144 from 900 and you get 756. once you find the square root you get 27.49. then round up to 27.5
Answer:
4
Step-by-step explanation:
= 4