I have another set of choices here:
A. {0.5, 1, 2}
B. {1, 2, 4}
C. {1, 2, 3, 4, 5}
<span>D. {0}
</span>
If you multiply two numbers from a closed set the answer is in the set.
<span>So A is not closed because 2 x 2 = 4 which isn't in the set. Only 0.5, 1, and 2 are in set A. </span>
<span>Try multiplying the largest numbers in sets B, C, and D by themselves. You will soon discover the closed set.</span>
Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).
1. <em>Total angle = (n - 2) * 180 --> 4 * 180 = 360°</em>
<em>70 + 130 + 120 + θ = 360</em> --> 320 + θ = 360 --> θ = 40
4. Total angle =<em> (10 - 2) * 180</em> --> 8 * 180 = <em>1440</em>
<em>1440/10</em> = 144°
6. Interior: (n - 2) * 180 --> 10 * 180 = 1800
Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360
9. (n - 2) * 180 --> 3 * 180 = 540
90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50
13. Interior: (n - 2) * 180 --> 2 * 180 = 360
Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)
16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15
The equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
<h3>What is sin function?</h3>
It is defined as a function that is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a]where is the amplitude of the function.
As we know the sin function is represented by:
y = Asin(Bx) + C
Here,
A = The amplitude = 3
C = The vertical shift = 1
B - The period in terms of π
B = 2π/amplitude
B = 2π/4
B = π/2
The becomes:

Thus, the equation of the sin function is y = 3sin(πx/2) + 1, and the graph of the function is shown in the picture.
Learn more about the sin function here:
brainly.com/question/14397255
#SPJ1
30% = 3/10
Number of hours you sleep = 24hours × 3/10
= 24hours ÷ 10 × 3
= 2.4hours × 3
= 7.2hours
Hope this helps! :)