Answer:
Step-by-step explanation:
The cotangent of theta is:
For pi/2 < theta< pi
This means that the angle is in the second quadrant. In the second quadrant, the cosine is negative and the sine is positive. This means that the cotangent will be negative.
Secant:
In this question
So
Using cross multiplication
Now we apply the following trigonometric identity:
Since the angle is in the second quadrant, the sine is positive.
Finally, the cotangent:
Answer:240 m
Step-by-step explanation:
Given Balloon is going towards positive x direction with a speed of 10 m/s
and balloonist throw the ball with -2 m/s with respect to himself
thus absolute ball velocity is 12 m/s
As there is no horizontal force in x direction thus distance covered by ball in 20 sec is
R=
=240 m
So lets add 3+5 to get 8.
So we know that 240/8 is 30
now multiply 3 and 5 by 30
so if 3 represents red you should get 90 cars
Check:
3=90
+5=150
----------------
8=240
so the final answer is 90 red cars
hope this helps:)
The slope of a line parallel has the same slope as the original equation.
Hence, the slope is 2/3
Answer:
68% of the sample can be expected to fall between 28 and 32 cm
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 30
Standard deviation = 2
What proportion of the sample can be expected to fall between 28 and 32 cm
28 = 30 - 2
28 is one standard deviation below the mean
32 = 30 + 2
32 is one standard deviation above the mean.
By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm
