Answer:
1) C
2) D
Step-by-step explanation:
1)
We want to find the value of cos(θ) given that (-5, -4) is a point on the terminal side of θ.
This is represented by the diagram below.
Recall that cosine is the ratio of the adjacent side to the hypotenuse.
Find the hypotenuse:

The adjacent side with respect to θ is -5 and the hypotenuse is √41. Hence:

Our answer is C.
2)
We want to find the value of sin(θ) given that (-6, -8) is a point on the terminal side of θ.
This is represented in the diagram below.
Likewise, find the hypotenuse:

Sine is given by the ratio of the opposite side to the hypotenuse.
The opposite side with respect to θ is -8 and the hypotenuse is 10. Hence:

Our answer is D.
Part A)
The answer is b) this is qualitative because the responses are about whether people are satisfied or not, instead of something numeric.
Part B)
The answer is b) this is random because it represents a different person in the sample, and it is variable because people feel differently about their situations.