Decompose each velocity in its i and j - coordinates.
1) River's velocity
3.5 m/s, west fo east = 3.5i + 0j
2) Luke's velocity
5m/s, 60° east of north
5* sin(60°) i + 5*cos(60°) j = 4.33 i + 2.5 j
3) Resultant velocity
[3.5i + 0j] + [4.33i + 2.5j] = 7.83i + 2.5j
resultant speed = √[ (7.83)^2 + (2.5)^2 ] = 8.22 m/s
angle = arctan(2.5 / 7.83) = 17.7° north of east (equal to 72.3° east of north).
Answer:
3
Step-by-step explanation:
3 quarters + 2 dimes + 1 nickel = 1 dollar
6 dimes + 8 nickels = 1 dollar
7 nickels + 2 quarters + 1 dime = 1 dollar
I think that is all, I hope this helps!
Answer:
x = 8
Step-by-step explanation:
3x - 20 = 4
add 20 to both sides
3x - 20 + 20 = 4 + 20
3x = 24
divide both sides by 3
= 
x = 8
Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3
The train is traveling at 165 mph
495/3=165
825/5=165
1155/7=165
1485/9=165
