What can be made in a cube and not a pyramid? A hexegon, triangle or a square? Please answer thank you!

Ben wants to play a carnival game that costs $2. in his pocket he has 5 red tickets worth 35 cents each, and 15 blue tickets worth 10 cents each. which of the following systems of inequalities correctly represents the constraints on the variables in this problem? let represent the red tickets and b represent the blue tickets.

Solve for x, y, and z. show all steps.

Evaluate cos2θ for cosθ = square root of 3/2