Step-by-step explanation:
We apply the pythagorean theorem on ABC.
AC^2=11^2+60^2 = 3600 + 121 = 3721
AC=61
Which means that sin(BAC) = 60/61.
However, sin^2(BAC) + cos^2(BAC)=1.
3600/3721 + cos^2(BAC) = 3721/3721.
cos^2(BAC) = 121/3721.
BAC is an acute angle so the cos is a positve number.
cos(BAC) = 11/61.
Lastly, x/60 = cos(BAC), so x= 660/61
Answer:
78°
Step-by-step explanation:
The two angles have to add up to 180°
180° - 102° = 78°
Angle = 78°
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Answer:
True
Step-by-step explanation:
Answer:
Check explanation section.
Step-by-step explanation:
So, we have the following parameters or information from the question above:
=> that the regression equation is Score = 31.55 + 10.90 Years.
So, the regression equation is in the form of mx + c.
Thus, the coefficient that is constant = 31.55 and the coefficient that shows or represents the years = 10.90.
=> Also, we have the value which is most important in this question that is the coefficient of Determination which is represented as R-sq and has the value of 83%.
The percentage of the total variation in test scores is NOT explained by the linear relationship between years of study and test scores = 100% - 83% = 17%.
For the percentage of the total variation in test scores is explained by the linear relationship between years of study and test scores = R- sq = 83%.
