Step-by-step explanation:
Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.
We have 180° - 360°/n = 160°.
=> 360°/n = 20°, n = 18.
Therefore it is a 18-sided regular polygon.
Perpendicular to. that's what it means
For f(x) = cos(x) we have:
- midline = 0
- amplitude = 1
- period = 2π
- graph = bottom graph on the second image.
<h3>
What are the midline, amplitude, period, and graph of the function f(x)=cos(x)?</h3>
For a general cosine function, we have:
f(x) = A*cos(kx + p) + M
Where:
- A is the amplitude.
- k is the frequency.
- p is the phase.
- M is the midline.
For the function:
f(x) = cos(x).
We can see that:
A = 1, M = 0, k = 1, p = 0.
So, the amplitude is equal to 1, and the midline is equal to zero.
Now we also need to get the period. By definition of the trigonometric functions sin(x) and cos(x), we know that the period of the two is equal to 2π.
Finally, we need to identify the graph of cos(x).
Notice that:
f(0) = cos(0) = 1.
So the graph of f(x) = cos(x) is the graph with an y-intercept equal to 1. Which is the bottom graph on the second image.
If you want to learn more about cosine functions:
brainly.com/question/17075439
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Answer: The number is 27
The system of equations is: 7x - 2y = 0
-9x + 9y = 45
<u>Step-by-step explanation:</u>
Let x represent the number in the tens place and y represent the number in the ones place. <u>x</u> <u>y</u>
Then 10x + y = 3(x + y)
When the digits are reversed: 10y + x = 10x + y + 45
Simplify each of the above equations and then create a system of equations:
10x + y = 3x + 3y → 7x - 2y = 0
10y + x = 10x + y + 45 → -9x + 9y = 45
9( 7x - 2y = 0) → 63x - 18y = 0
2(-9x + 9y = 45) → <u> -18x + 18y </u>=<u> 90</u>
45x = 90
x = 2
Input x = 2 into either equation to solve for y:
7x - 2y = 0
7(2) - 2y = 0
14 = 2y
7 = y
