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:
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Step-by-step explanation:
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Answer:
V=12
Step-by-step explanation:
Faces: 20 Edges: 30
Write the Euler's formula for 3-dimensional figures
F+V=E+2
Substitute some variables for their known values
20+V=30+2
Add the numbers on the right side of the equation
20+v=32
Subtract 20 on both sides
20-20+V=32-20
Subtract
V=32-20
Number of Vertices
V=12
K = 4pq^2
k/4p = q^2
0.5(k/p)^1/2 = q