Answer: Yes, a triangle has side lengths 6, 8, 10 is it a right triangle.
Step-by-step explanation:
Set up a proportion: 3/10= x/80. Then if you multiply 10 by 8, you get 80 on both sides, But, If you do it to the top, you also have to do it to the bottom, so the anser is 3 x 8 , or 24.
Answer:
All of them are correct except for number 15
Step-by-step explanation:
Number 15 is D.
Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

And the perimeter is

We know the perimeter is 182, thus

Simplifying

Solving for y

The area is

Taking the derivative:

Equating to 0

Solving

Finding y

The largest rectangle of perimeter 182 is a square of side 45.5