A velocity vector has a magnitude of 137 miles per hour and a direction angle of 235º. What is the y-component of the vector?

9514 1404 393

  -112.2 mph

Step-by-step explanation:

If the angle is measured counterclockwise from the +x direction, the (x, y) coordinates of the vector (137; 235°) are ...

  (x, y) = 137(cos(235°), sin(235°))

  (x, y) = (-78.58, -112.22)

The y-component is -112.22 miles per hour.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

29933333.33

step-by-step explanation: