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:
Step-by-step explanation:
Given
Required
Distance of F'G'
The transformation that give rise to F'G' from FG are:
The above transformations are referred to as rigid transformation, and as such the side lengths remain unchanged.
i.e.
Calculating FG, we have:
Where:
--- 
--- 
Take positive square root
Recall that:
Answer:
81%
Step-by-step explanation:
divide 162 by 200
Step-by-step explanation:
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction.
Step 3: Simplify the rational expression.
Step 4: Multiply any remaining factors in the numerator and/or denominator.
Step 1: Factor both the numerator and the denominator.
Step 2: Write as one fraction
V = Bh ⇒
h = V/B = 1122 / 93.5 = 12 inches.
