Derek is training for a half-marathon. his training plan sets his goal for this week at 18 miles with three short runs and one longer run.

his three short runs total 9.35 miles.

how long will his long run need to be to meet his goal?

enter your answer in the box.

miles

At dinner, 2/5 of the people had fish and 1/3 had chicken. if everyone else had lamb, what fraction of the people had lamb? and if 40 people had lamb , calculate the total number of people at the dinner.

The perimeter of a stage is 116 feet. it is 17 feet wide. how long is it?

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.