I can only give possible combination of the ages. Had the sum of the ages been given, then the 3 specific numbers would have been derived.
We need to do prime factorization of 72.
72 ÷ 2 = 36
36 ÷ 2= 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 1 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Possible combinations:
1 x 8 x 9 = 72 1 + 8 + 9 = 18
1 x 4 x 18 = 72 1 + 4 + 18 = 23
2 x 4 x 9 = 72 2 + 4 + 9 = 15
3 x 4 x 6 = 72 3 + 4 + 6 = 13
Answer:
50
Step-by-step explanation:
rectangle area = 144 cm
Formula: A= L*H
The give the length which is 16
144 = 16*H
Since they gave u the area instead of the height, work backwards
144/16 = 16/16 *H
9 = H
Now you have the length and height
Length: 16
Height: 9
Perimeter is when you add up all the sides
The top and bottom of the rectangle is the length which is 16 so
16 + 16 = 32
The left and right side of the rectangle is the height which is 9 so
9 + 9 = 18
Now add then both
32 + 18 = 50
So the perimeter of the rectangle is 50
Hope this helped!
Answer:
c
Step-by-step explanation:
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
