Jacob is cutting yarn for a craft project. He needs pieces of yarn that are 12 inches long, but he only has a ruler marked with centimeters. Luckily, he remembers that there are 2.54 centimeters in an inch. How many centimeters long should Jacob's pieces of yarn be?

One line passes through (-7,-4) and (5,4) . another line passes through the point (-4,6) and (6,-9)

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.

What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83