Melanie and michael are on the north bank of a river that is flowing east to west at a speed of 0.5 m/s. they paddle their surf ski in the direction s30°e, also at a speed of 0.5 m/s. if the river is 30 metres wide, how long does it take them to cross the river, and how far downstream or upstream are they? round your answers to one decimal place.

total distance travel by them to cross river is 17.3 m

Step-by-step explanation:

Assume A be the initial position of both person and B as apposite point to A

u  component of velocity along SOUTH DIRECTION is 4 cos30 = 0.4330 m/s

v  component of velocity along SOUTH DIRECTION is 4 cos90 = 0 m/s

total speed will be = 0.4330 + 0  = 0.4330 m/s

time taken

time taken

component of u in downstream direction = 4 cos120 = -0.25 m/s

component of v in downstream direction = 4 cos 0 = 0.5 m/s

total component in downstream will be -0.25 + 0.5 = 0.25

total distance travel by them to cross river is downstream.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: