**Answer:**

See explanation below.

**Step-by-step explanation:**

A right triangle is a triangle that has a right angle (90º). In math, the **Pythagorean theorem** allows us to calculate the length of the sides of a right triangle.

In a right triangle, the legs are the two sides that meet at the 90º angle and the hypotenuse is the side that opposes the right angle. **The Pythagorean Theorem tells us that the square of the hypotenuse equals the sum of the squares of the legs. In other words: **** where c is the hypotenuse and a and b are the legs. **

Now, we can **use this formula to calculate the diagonal of the pool **if we just have the length and the width (these would be the legs of the triangle). We need to **measure both the length and the width and then square both of them and sum up the squares: this would give us the square of the diagonal so we will only need to find its quadratic root and we will have the length of the diagonal.**

For example, let's say we have a pool that is 3 ft by 4ft, using the formula we have:

Therefore, in this case the diagonal would be 5 ft long.

**Answer:**

B.

**Step-by-step explanation:**

the visible line is the defined function.

this line goes from x=1 to x=4, and has the functional results from y=1 to y=7.

the domain is the valid interval of the input variable (typically x), while the range is the valid inescapable of the result variable (typically y).

so, B is the right answer.

B= 19ft

The height is 4 and the are is 76 and equal to 19ft

Answer:

The volume of the rectangular prism is 0.25cm^3

Step-by-step explanation:

In this question, we are asked to calculate the volume of a rectangular prism given the measurements in the question.

Mathematically, the volume of a rectangular prism can be calculated according to the formula below;

V = l * w * h

where l, w and h represent the length, width and height respectively

from the question l = 3/4 cm, w = 2/3 cm and h = 1/2 cm

let’s input these values, we have;

V = 3/4 * 2/3 * 1/2 = 1/4 = 0.25 cm^3