Answer: The ratios are both identical. (Choice A)
Why does this answer work?
Well let's refer to the diagram below.
Angle x has side 12 opposite it and the hypotenuse is 13.
This means sin(x) = opposite/hypotenuse = 12/13
Also, angle y has side 12 adjacent to it, meaning,
cos(y) = adjacent/hypotenuse = 12/13
Both trig ratios result in 12/13 and we can say sin(x) = cos(y)
One last thing to notice is that x+y = 90
In other words, if x+y = 90, then sin(x) = cos(y)
Phrased a slightly different way: if x+y = 90, then sin(y) = cos(x)
Answer:
the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
Step-by-step explanation:
The computation of the standard deviation of the speeds of cars is shown below;
The z score for the top 1% is 2.326
So,
= (75 - 61) ÷ standard deviation = 2.326
Standard deviation is
= 14 ÷ 2.326
= 6.0 miles per hour
Hence, the standard deviation of the speeds of cars travelling on California freeways is 6.0 miles per hour
V=pi*(r )upper 2 * h
v= 3.14 (9*9 ) * 10
=847.8
14 000 000 000 cubic meters.