The surface area of a sphere is given by

We deduce

So, in your case, the radius is

The volume of a sphere is given by

So, we have

Answer:
<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>
Step-by-step explanation:
For a quadratic equation:

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.
We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:
P=2(L+W)=36
A=L.W=80
Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.
Thus we use the semi perimeter instead as P/2=L+W=18
The quadratic equation is, then:

Factoring by finding two numbers that add up to 18 and have a product of 80:

The solutions to the equation are:
x=10, x=8
Thus, the dimensions of the metal plate are 10 dm and 8 dm.
Answer:
x = -3, y = -3.5. As an ordered pair it is (-3, -3.5).
Step-by-step explanation:
9x − 4y = −13
9x − 2y = -20
Subtract:-
-2y = 7
y = -3.5.
Substitute for y in the first equation:
9x - 4(-3.5) = -13
9x = -27
x = -3.
Four as zeros don't count when you're figuring out significant figures
Answer:
Please the explanation section.
Step-by-step explanation:
There will be 2 squares. Those can be 9. Those are:
One square can be a 3 by 3 square, meaning each side will be 3 units. The area for this will be 9.
Another one is the square can be a 9 by 9 square, meaning each side will be 9 units. The area for this will bebe 81.