Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Mr. Mills and Ms. Hutchinson are teaching their classes how to write in cursive. Mr. Mills has already taught his class 4 letters. The students in Ms. Hutchinson's class, who started the unit later, currently know how to write 10 letters. Mr. Mills plans to teach his class 2 new letters per week, and Ms. Hutchinson intends to cover 1 new letter per week. Eventually, the students in both classes will know how to write the same number of letters. How many letters will the students know? How long will that take?

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?

When a 757 passenger jet begins its descent to the ronald reagan national airport in washington, d.c., it is 3900 feet from the ground. its angle of descent is 6 degrees. how far must the plane fly to reach the run way? a. 37,106 ft b. 37,310.4 ft c. 23,456.6 ft d 2,492.7 ft

Which equation can be solved to find one of the missing side lengths in the triangle? cos(60o) = cos(60o) = cos(60o) = cos(60o) = mark this and return