Robin rides a personal watercraft 75° west of south at 70 miles/hour. the water current is moving 6 miles/hour at an angle of 75° south of west. what is the actual speed (rounded to the nearest hundredth) of robin's watercraft?

Actual speed = 73.18 m/s

Step-by-step explanation:

Let positive x axis represent east and positive y axis represent north.

Robin rides a personal watercraft 75° west of south at 70 miles/hour.

Velocity of personal watercraft = 70 miles/hour at 75° west of south

                                                    = 70 miles/hour at 15° south of west

                                                    =  -70 cos 15 i + -70 sin 15 j

                                                    = -67.61 i - 18.12 j

The water current is moving 6 miles/hour at an angle of 75° south of west.

Velocity of  water current = 6 miles/hour at 75° south of west

                                           = 6 miles/hour at 75° south of west

                                           =  -6 cos 75 i + -6 sin 75 j

                                           = -1.55 i - 5.80 j

Total velocity = -67.61 i - 18.12 j -1.55 i - 5.80 j = -69.16 i - 23.92 j

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

answer: 20

step-by-step explanation: