Aman jogs at a velocity of 2.5 m/s west for 1,200 s. he then walks at a velocity of 1.0 m/s east for 500 s and then stops to rest. what is the displacement of the man when he stops to rest?

The displacement is 2500 m towards west.

Step-by-step explanation:

Taking west as negative direction and east as positive direction.

Velocity of man jogging west = -2.5 m/s

Time he traveled towards west = 1,200 s

Displacement in west direction =

Velocity of man jogging east = 1.0 m/s

Time he traveled towards east = 500 s

Displacement in west direction =

Total displacement can be calculated by finding the sum of displacement.

Total displacement =

Since, the resultant displacement is negative, so the displacement is 2500 m towards west.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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