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:

Given:

To find:

Step-by-step explanation:

Answer: 12
To get 12 you multiply 20%×60 and get 12.
Note: When finding the answer to these types of problems, multiply the percent times the number.
Length of outer boundary =30m
So area of outer boundary =30×30
= 900m²
Length of inner boundary of path=30-1= 29m
Inner area =29×29 =841m²
So area of path is= outer area - inner area
=900- 841
= 59m²
Answer: 48 minutes
Step-by-step explanation:
Han spent 75 minutes practicing the piano.
Tyler spent only 64% as much as that. How long did Tyler practice:
= 75 * 64%
= 48 minutes