Ben wants to buy a new collar for each of his four dogs. The colors come in a choice of nine different colors. How many selections of collars for the four dogs are possible if repetitions of colors are allowed?

Which segments are congruent? o jn and ln o jn and nm o in and nk onk and nm

What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = + x 2 6 10 12

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.