Amotorboat traveling at a speed of 4.0 m/s pointed east encounters a current flowing at a speed 3.0 m/s north.
a. what is the speed and direction that the motorboat travels?
b. what distance downstream does the boat reach the opposite shore?

Henry is an avid reader, he devours 90 pages in half an hour how many pages has henry read per minute?

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.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5