lake trail is 4 3/5 miles long.outlook trail is 5 5/6 miles long .pinewoods trail is 1 3/10 miles longer than lake trail.
1 answer:
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Answer:
5.545
Step-by-step explanation:
This problem can be easily solved by using the law of cosines, which relates the lengths of the sides of a triangle to the cosine of one of its angles.
in this case, the formula can be applied in the following way
a^2 = b^2 + c^2 - 2*b*c*cos(α)
Where
a,b,c are each of the sides of the triangle,
α is the angle between sides b and c
(See attached picture)
If we use the formula we get
a^2 = (9)^2 + (6)^2 - 2*(9)(6)*cos(37°)
a^2 = 81 + 36 - 86.2526
a^2 = 30.747
a = sqrt(30.747)
a = 5.545
<h2>Answer:</h2>
The correlation that is shown in the scatter plot is:
Strong positive.
<h2>Step-by-step explanation:</h2>From the scatter plot we see that with the increase of one variable the second variable also increases.
Hence, the association is positive.
Also, if we draw a trend line that best represents the scatter plot then not all the points will lie above the line but all the data points are either over the line or very close to the line this means that the correlation coefficient is close to 1 but not exactly equal to 1.
Hence, the correlation is:
Strong positive.
( For perfect positive all the data points should lie above that line i.e. correlation coefficient must be equal to 1)