I will try to make this as simple as possible.
First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:
1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)
With that being said, let's begin.
First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing 
we have the equivalent of -0.3, so now we know it's a rational number.
As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:
-0.3 is a rational number, but 3.14144144414444 is not.
Hope this helped! c:
X is greater with respect to the statement because x will have to be greater than 5 for the statement to be true
Answer:
The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².
Step-by-step explanation:
An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.
The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.
The area is calculated using the following formula:
Where:
- n is the number of sides.
- L is the length of one of the sides.
- Ap is the value of the apothem.
Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of the regular octagon can be calculated by:
In this case:
Replacing:
Solving:
Area=482.8 ft²
<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>
<h3>x = 60</h3><h3>y = 60</h3>
x° + 2y° = 180° ⇒ 2y° = 180° - x°
x° = 60° {three sides of the same lengh, means three angles=60°}
2y° = 180° - 60°
2y° = 120°
y° = 60°
