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Rashid [163]
3 years ago
7

Given that 2sin^2 theta + sin theta -1 = 0, find the two values for sin theta.

Mathematics
1 answer:
Lisa [10]3 years ago
8 0
2sin^2 θ + sin θ - 1 = 0
2sin^2 θ + 2sin θ - sin θ - 1 = 0
2sin θ(sin θ + 1) - 1(sin θ + 1) = 0
(2sin θ - 1)(sin θ + 1) = 0
2sin θ - 1 = 0 or sin θ + 1 = 0
sin θ = 1/2 or sin θ = -1

The two values of sin θ are 1/2 and -1


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A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

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v is speed in m/s and t is time

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C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

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The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.

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