Answer:
A = P * a / 2
A = 81.25
Step-by-step explanation:
We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:
A = P * a / 2
In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:
P = 10 * 3.25
P = 32.5 meters
We replace:
A = 32.5 * 5/2
A = 81.25
Which means that for that regular decagon, the area is 81.25 square meters.
Answer:
27=x
Step-by-step explanation:
We can use the triangle angle bisector theorem
x+8 2x-5
--------- = ------------
10 14
Using cross products
14(x+8) = 10 (2x-5)
Distribute
14x +112 = 20x -50
Subtract 14x from each side
14x-14x +112 = 20x-14x -50
112 = 6x-50
Add 50 to each side
112+50 = 6x-50+50
162 = 6x
Divide by 6
162/6 = 6x/6
27=x
Answer: C.) The total number of stamps is 35.
Step-by-step explanation:
Given the table :
No of 45-cent stamp - - - No of 65-cent stamp
- - - - - - - 18 - - - - - - - - - - - - - - 17
- - - - - - - 20 - - - - - - - - - - - - - - - 15
- - - - - - 22 - - - - - - - - - - - - - - 13
- - - - - - 10 - - - - - - - - - - - - - - - - 25
Verifying each option stated :
Total value of stamp:
Each row add up to 35. Example (18 + 17) = 35
(20 + 15) = 35
(22 + 13) =35
(10 + 25) = 35
Total value of stamp:
Using the first row:
45 cent = $0.45 ; 65 cent = $0.65
(10 * 0.45) + (25 * 0.65)
= $4.5 + $16.25 = $20.75
Not all rows add up to $19.15
The statement (A) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity is correct.
<h3>What is polynomial?</h3>
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have a polynomial function:
The function is a cubic function and the graph of the cubic function will be a curve.
As we can see in the graph, f(x) grows larger as x approaches negative infinity. f(x) also becomes closer to infinity as x does.
Thus, the statement (A) As x approaches negative infinity, f(x) approaches infinity. As x approaches infinity, f(x) approaches infinity is correct.
Learn more about Polynomial here:
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