In the figure, ABCD is a trapezoid with legs AB and CD.
Join AC and BD.
For the triangle CAD, from the vertex C, draw an altitude CE and for the triangle ABD, from the vertex B, draw an altitude BF.
Clearly, CE = BF = h (say) --- (1)
Note that the base of the triangles CAD and ABD are the same and is AD.
It is given that ar(CAD) = .
Now, ar(ABD) =
= from (1)
= ar(CAD)
= .
Hence, area of Δ ABD = ..
From the question we are told that:
Total Sample size n=500
Dan's mean \=x_D= 3hr
Bret's mean \=x_D= 4hr
Generally, the Total hours spent doing leisure and sports activities is mathematically given by
For Sample A
For Sample B
Therefore
Average Time spent doing leisure and sports activities by an American Adult
For Sample A
For Sample B
Therefore
Dan is Correct because 3.08 or 3.09 is approximately equal to 3
We will solve using the law of sines as follows:
Now, we solve for X:
So, the length of X is sqrt(3).