Diane has a rope that is 8 meters long. She cuts away a piece that is 1.67 meters long. How long is the remaining piece of rope?

Describe the domain and range of y=2(3)^x-2+5

A50% increase followed by 33 1/2% decrease

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.