A safety deposit box in the shape of a square based prism has a volume of 250cm^3. The cost of the material to manufacture the top of the box is $.075/cm^2 while the rest of the cost for the rest of the box is $0.55/cm^2. Determine the dimensions of the box that will minimize the cost of manufacturing the deposit box.

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.