Maureen proposes giving each student two free tickets to the fair, with the price represented by 2(x – 2) + 5. Liam proposes giving students free admission, with the price represented by 2x. What number of tickets would result in the same price for each student under either proposal? Explain.

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.