100 x 0.4 = 40. So 40 students listen to hip hop
Answer:
See below.
Step-by-step explanation:
We know that
tanA + tan B
tan (A + B) = ---------------------
1 - tanAtanB
Substituting for A + B
tan (A + B) = tan pi/4 = 1.
tanA + tan B
So ------------------ = 1
1 - tanAtanB
Therefore tanA + tan B = 1 - tanAtanB.
Simplify the left hand side by multiplying the terms in the parenthesis by 3/4, i.e. divide them by 4 and multiply them by 3:

Subtract 6x from both sides:

Subtract 2 to both sides:

Answer:
5.66 units.
Step-by-step explanation:
cos 25 =- adjacent side / hypotenuse
cos 25 = 4 / AB
AB cos 45 = 4
AB = 4 / cos 45
= 5.66.