Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify

Answer:D
Step-by-step explanation:
.708333... so about .71
14+23+14=51
51 divided by 72=~.71
Answer:
20π sq ft ≈ 62.83 sq ft
Step-by-step explanation:
Area of table with diameter 8 ft = π*8^2/4 = 16π
Area of table with diameter 12 ft = π*12^2/4 = 36π
Difference between the area of the tables ;
= 36π - 16π
= 20π sq ft ≈ 62.83 sq ft ( π = 3.14)
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:
xy represents the diameter