Well, he recaptured 3 out of the 7 he marked. We can presume that the other 5 are gone. The population would be 8 robins, because 4 of the robins Julius marked were not recaptured. Therefore, the population is around 8-10 robins.
Poorly formulated question. Please provide a question as I am confused what you are asking.
2cos^2 x = 1 + cos 2x
cos^2 x = 1/2(1 + cos 2x)
f(x) = 6cos^2 x - 4 sin 2x = 6(1/2(1 + cos 2x) - 4 sin 2x = 3 + 3cos 2x - 4sin 2x
The meaning of vertical angles are two congruent angles formed by the intersection of two straight lines.
On this question is given that angles one and two are vertical, and the measure of one of them or angle two is 31 degrees.
As said before vertical angles are congruent, or have the same measurement.
Meaning that angle one is equal to 31 degrees.
