A linear pair must add up to 180 degrees is true or false?
1 answer:
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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:
- P=80 ft
- Ap=12.07 ft
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>
The question is incomplete. Here is the complete question:
A contractor has two choices for billing a completed job.
· $500 flat rate, regardless of the number of hours worked
· $20 per hour worked
The graph shows the relationship between pay per hour and number of hours worked for both scenarios.
What is the solution to this system of equations, and what does it mean to the contractor?
A.The solution (0, 20) tells the contractor the minimum amount that can be charged.
B.The solution (0, 500) tells the contractor the maximum amount that can be charged.
C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
D.The solution (20, 25) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Answer:
The graph is attached below.
C.The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Step-by-step explanation:
As per the graph, the x-axis represents the number of hours worked and the y-axis represents the rate in dollars per hour.
The hourly rate is given as $20.
The solution to the given lines drawn on the graph is the point of intersection of the two curves.
As we observe from the graph, the point of intersection of the two curves is at (25,20). The point tells the contractor that when the hourly rate is $20, then the number of hours worked will be 25.
So, when the hourly rate is same for both the billings, then the number of hours worked will be 25.
Hence, the correct option is (C).
