Tangent is opposite/adjacent so it would 60/25 which simplifies to 12/5
5/4 = 75/g....cross multiply because this is a proportion
5g = 300
g = 300/5
g = 60
so in 2nd semester, there were 75 students in art class and 60 students in gym class....for a total of 135 students.
1st semester....ratio was 2:7...added = 9
art : 2/9(135) = 270/9 = 30 <=== art class had 30
gym: 7/9(135) = 945/9 = 105 <=== gym class had 105
10 y plus 9 y minus 6 y plus 6 y
=> 10y + 9y - 6y + 6y
= 10y + 9y - 0 = 19y
5x(x) + (5x)(4) + (-2)(x) + (-2)(4)=
5x^2 + 20x - 2x - 8=
5x^2 + 18x -8