Hello,
Please write correctly.
g(x)= (2x+3)/(x+1) to be written like a/(x+p) + q
It is very simple!
(2x+3)/(x+1)= [(2x+2)+1]/(x+1)= (2(x+1)+1)/(x+1)= 2+1/(x+1)
The measure of angle theta is 30 degrees.
This is a 30-60-90 triangle where the short leg is half that of the hypotenuse. The short leg is opposite the smallest angle 30 degrees.
You can use trig to find that
sin(angle) = opposite/hypotenuse
sin(theta) = 5/10
sin(theta) = 0.5
theta = arcsin(0.5)
theta = 30 degrees
In the question, it is already given that the total number of runners in the race is 60 and out of them 1/3 dropped out in the first half. In the second half 1/4 of the remaining runners dropped out.
Now
Total number of runners in the race = 60
Number of runners that dropped out in the first half = 1/3 * 60
= 20
Number of runners remaining = 60 - 20
= 40
Number of runners dropping out in the second half = 40 * 1/4
= 10
Then the number of runners that finished the race = 40 - 10
= 30
Then 30 runners completed the race.
