Answer:
13
Step-by-step explanation:
Use the Pythagorean theorem:
- a^2 + b^2 = c^2
- 5^2 + 12^2 = c^2
- 25 + 144 = c^2
- c^2 = 169
- 13
Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.
Absolute value is a positive number
So -7-1 = -6
Answer 6
5 and 3/5 is 5.75 as a decimal
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
Answer:
11 and 13
Step-by-step explanation:
Suppose the smaller one is x. Then the difference of their reciprocals is ...

This tells us that x will be the smaller of the two factors of 143:
143 = 11×13
x = 11
The two numbers are 11 and 13.