Ms. MacArthur surveyed students to find the amount of time they spent reading and watching TV last week. The scatter plot below
shows the results of her survey and a linear model for her data.James said that, according to the data a student whi watches 6 hours of Tv each week will read for 10 hours ecah week. is james correct why or why not ?
1 answer:
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Answer:
m∠Q ≈ 53°
Step-by-step explanation:
To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.
In this situation, 'A' will be ∠Q. Therefore:
17² = 18² + 20² -2(18)(20)cosQ
Simplify:
289 = 324 + 400 -2(360)cosQ
Continue simplifying down:
-435 = -720cosQ
Divide both sides by '-720':
0.604 = cosQ
m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.