Answer: 10
Step-by-step explanation: you have to simplify for it to equal 10
When the average daily temperature in New York City decreases, the number of persons who are observed wearing sweaters in the workplace increases, this implies a<u> </u><u>negative correlation.</u>
Negative correlation simply means the relationship between two variables where as one variable increases, the other variable will reduce.
Therefore, in a situation where the average daily temperature in New York City decreases and the number of persons who are observed wearing sweaters in the workplace increases, this illustrates a negative correlation.
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Answer:
The value of cosθ is ![\frac{15}{17}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B17%7D)
Step-by-step explanation:
It is given that an angle θ with the point (15, −8) on its terminating side.
Here x=adjacent side=15 units and y=opposite side =-8 units,
Using pythagoras theorem,
![\text{hypotenuse}^2=\text{base}^2+\text{opposite side}^2](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%3D%5Ctext%7Bbase%7D%5E2%2B%5Ctext%7Bopposite%20side%7D%5E2)
![\text{hypotenuse}^2=(15)^2+(-8)^2](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%3D%2815%29%5E2%2B%28-8%29%5E2)
![\text{hypotenuse}^2=225+64=289](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%3D225%2B64%3D289)
![\text{hypotenuse}^2=17](https://tex.z-dn.net/?f=%5Ctext%7Bhypotenuse%7D%5E2%3D17)
Cosine is defined as
![\cos \theta=\frac{base}{hypotenuse}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D%5Cfrac%7Bbase%7D%7Bhypotenuse%7D)
![\cos \theta=\frac{15}{17}](https://tex.z-dn.net/?f=%5Ccos%20%5Ctheta%3D%5Cfrac%7B15%7D%7B17%7D)
Therefore the value of cosθ is
.
Answer:
See below.
Step-by-step explanation:
The sum of the measures of the interior angles of an n-sided polygon is
(n - 2)180
A pentagon has 5 sides, so for a pentagon, n = 5.
(n - 2)180 = (5 - 2)180 = 3(180) = 540
The sum of the measures of the angles of a pentagon is 540.
You don't show the measures of the 4 angles that are known, so to answer the question, add the 4 given measures and subtract the sum from 540.
No Caseys answer is not reasonable because the chart says, 6 baseball, 8 football, 6 basketball and 5 soccer. Adding to a total amount of 25 people not 40.