Answer:
just guess c its mostly right
Step-by-step explanation:
Answer:
The swimmer must move in the direction 338.2°
Step-by-step explanation:
Since the river flows due south at 1.2 miles per hour and the swimmer swims 3 miles per hour due east of the river, since their directions are perpendicular, the resultant speed is the hypotenuse of the triangle formed by the two perpendicular directions.
The direction of the resultant speed is thus θ = tan⁻¹( vertical component/horizontal component) where vertical component = 1.2 mph due south = -1.2 mph and horizontal component = 3 mph due east = + 3 mph
So, θ = tan⁻¹(-1.2 mph/+ 3mph)
θ = tan⁻¹(-1.2/3)
θ = tan⁻¹(-0.4)
θ = -21.8°
θ = -21.8° + 360° (since we are in the fourth quadrant- between east and south)
θ = 338.2°
So, <u>the swimmer must move in the direction 338.2°</u>.
Answer:
15
Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15
Let x represent the number of adult tickets sold.
Let y represent the number of student tickets sold.
We were told that the movie theater sold a total of 205 tickets to a movie. This means that
x + y = 205
Adult tickets were $9 and student tickets were $5. This means that the cost of x adult tickets and y student tickets is 9x + 5y. If the total cost of the tickets was $1621, it means that
9x + 5y = 1621
From the first equation, x = 205 - y
We would substitute x = 205 - y into 9x + 5y = 1621. Thus, we have
9(205 - y) + 5y = 1621
1845 - 9y + 5y = 1621
- 9y + 5y = 1621 - 1845
- 4y = - 224
y = - 224/- 4
y = 56
x = 205 - y = 205 - 56
x = 149
Thus, 56 student tickets were sold