Answer:
R.H.S:
= cos ( 90 - theta )
= cos (90) cos(theta) + sin(90) sin(theta)
= 0 + sin(theta) =>[ cos(90) = 0 , sin(90) = 1]
= sin(theta)
6. 5 shirts 20 minutes Multiply both by 3 to get to 60 minutes
15 shirts 60 minutes
15 shirts per hour
7. 250 miles + 50 miles = 300 miles
300 miles / 5 hours = 60 miles per hour
8. 360 pages / 12 hours = 30 pages per hour400 pages / 30 pages per hour = 13 1/3 hours
= 13 hours and 20 minutes
The data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9
<h3>When a measure is considered an outlier in a data-set?</h3>
A measure is considered an outlier in a data-set if it is very far from other measures, especially in these two cases:
- If the measure is considerably less than the second smallest value.
- If the measure is considerably more than the second highest value.
In this problem, he data-set that places 22.6 as an outlier is given as follows:
2.4, 5.3, 3.5, 22.6, 1.8, 2.1, 4.6, 1.9.
The second highest value is 5.3, which is considerably less than 22.6, hence 22.6 is an outlier in the data-set.
More can be learned about statistical outliers at brainly.com/question/9264641
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Answer: none of these
Step-by-step explanation:
They are not supplementary because 101+77 = 178 and not 180.
They are not complementary because 101+77 = 178 and not 90.
They are not vertical because there are no intersecting lines and the two angle measures are not equal.
Therefore, none of these are true.
So, start at 4. You know that he needs to go up floors, so it would be 4 + 9, which is 13.
He is now on the 13th floor. You also know, that he needs to go down 5 floors. So the equation would look like this:
4 + 9 - 5 = ?
so, 13 - 5 is 8.
The meeting is on the 8th floor.
Hope this helps!!
~Kiwi