In trigonometry, we start from the point (1,0), so this is the 0-degree point. Then, we start rotating counter clockwise along the unit circle.
Note that rotating 180 or -180 degrees is actually the same, because you travel half the circumference clockwise or counter clockwise. In both cases, you start from the rightmost point of the circle, (1,0), and arrive at the leftmost point, (-1,0).
Now, for every point (x,y) on the unit circle, given by a certain angle 
, we have
So, in this case, the angle of -180 is associated with the point (-1,0), and thus we have
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Answer:
4.) 12
5.)1.67
Step-by-step explanation:
Hey there.
1.) The mode is the number that's most frequent in a given list.
In our list, we have 2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10.
Our most frequent number is 6; therefore, our mode is 6.
2.) The median is the number in the middle of a list organized from least to greatest.
2, 4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9, 10;
4, 4, 5, 5, 5, 6, 6, 6, 6, 7, 9;
4, 5, 5, 5, 6, 6, 6, 6, 7;
5, 5, 5, 6, 6, 6, 6;
5, 5, 6, 6, 6;
5, 6, 6;
6.
6 is our median.
I hope this helps, despite your answer choices not providing the correct answer.
8th grade = 3x = 3(47) = 141 band members.
7th + 8th = 188
7th = x
8th = 3x
x + 3x = 188 ; x = 47 ; 47 + 3(47) = 47 + 141 = 188
4x = 188
4x / 4 = 188 / 4
x = 47 --> 7th grade
8th grade = 3x = 3(47) = 141
To check:
x + 3x = 188 ; x = 47 ;
47 + 3(47) = 188
47 + 141 = 188
188 = 188
