You are playing a video game. for each diamond you collect, you earn 80 points. you also earn 100 bonus points by completing the level in less than 2 minutes. you need to earn more than 1220 points to continue on to the next level. write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

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.