Answer:
it would be -90⁰ because its clockwise its the opposite direction
Answer:
x = 144
Step-by-step explanation:
What you need to remember about this geometry is that all of the triangles are similar. As with any similar triangles, that means ratios of corresponding sides are proportional. Here, we can write the ratios of the long leg to the short leg and set them equal to find x.
x/60 = 60/25
Multiply by 60 to find x:
x = (60·60)/25
x = 144
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<em>Comment on this geometry</em>
You may have noticed that the above equation can be written in the form ...
60 = √(25x)
That is, the altitude from the hypotenuse (60) is equal to the geometric mean of the lengths into which it divides the hypotenuse (25 and x).
This same sort of "geometric mean" relation holds for other parts of this geometry, as well. The short leg of the largest triangle (the hypotenuse of the one with legs 25 and 60) is the geometric mean of the short hypotenuse segment (25) and the total hypotenuse (25+x).
And, the long leg of the large triangle (the hypotenuse of the one with legs 60 and x) is the geometric mean of the long hypotenuse segment (x) and the total hypotenuse (25+x).
While it can be a shortcut in some problems to remember these geometric mean relationships, you can always come up with what you need by simply remembering that the triangles are all similar.
Answer: 80%
Explanation:
From the provided graph, read the Relative Cumulative Frequency as 0.8 (or 80%) which corresponds to a GPA of 3.5.
This number represents all GPAs lower than 3.5.
4 is 16.3, I don't know 5 or 6, 7 is 176, I don't know 8 or 9, 10 is 8.1, I don't know 11, and 12 is 48.
(I used a calculator, lol)
Answer:
The mean is 12, The median is 13, The mode is 14, and the range is 8.
The second choice is the correct answer.
Explanation:
- I found the mean by adding up all the numbers and dividing by the number of numbers, or sun divided by count. The sum of the numbers was 132, and the count was 11. I divided 132 by 11 to get 12.
- I listed the numbers in order from least to greatest. The data set was: 7, 8, 10, 12, 12, 13, 13, 14, 14, 14, 15
- I found the median by crossing off the number on each end of the data set, and kept going. For example, I crossed off 8, and then 15, and then 10, and then 14 and so on until I got to the middle number. (Keep in mind, if there are two middle numbers, find the mean of them [add them and divide by two])
- The mode is the number that shows up the most in the data set, so I looked at the data set and saw that 14 showed up 3 times, more times than any other number.
- The range is the difference between the greatest and least number (maximum and minimum) so I just subtracted 15 - 7 to get a difference of 8.
