Describe the general solution (all answers) to a quadratic style equation involving trig functions. (Use only exact values where possible, no decimals/rounding)

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Ab based on the given diagram, if m_1 = 60° then m 2 = 30 60 90 180

Benjamin is making bow ties. how many 1/2yards lomg bow ties can he make if he has 18 feet of fabric?