The following table shows information collected from a survey of students regarding their grade level and transportation they us
e to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
1 answer:
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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.
