Kay purchased a total of 8 bags of Colombia Coffee and Roast Espresso. Each bag of Columbia Coffee costs $25 and each bag of Roast Espresso costs $35. If Kay paid $230 for the coffee and espresso, solving which of the following systems of equations yields the number of bags of Columbia Coffee, c , and the number of bags of Roast Espresso, r ?

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.