I think it's 50% or 10.5% depending on the number or symbol outside of the parentheses at the end of the problem.
We know the lenght of the side adjacent to angle A, AC, and we want to know the opposite side, BC. What trig ratio describes the relationship between opposite and adjacent? The Tangent!
tan (x) = opp / adj
In this case, tan (45°) = BC / 4
To get BC by itself, multiply both sides by 4
4 * tan (45°) = BC
The answer is D
√102 = 10.09950494.....
So 10.09950494..... to the nearest tenth would be 10.10, because 9 comes AFTER 5 so we will go to the next number which would make the number 10.10.
SO, √102 ≈ 10.10.
Hope I helped ya!!!☺☺☺☺
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715
