The magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
<h3>
Magnitude of the resultant vector</h3>
Sum of vectors in x direction, ∑X = 5 - 1 = 4
Sum of the vectors in y direction, ∑Y = 6 + 14 = 20
Resultant vector = √(∑X² + ∑Y²)
Resultant vector = √(4² + 20²) = 20.4 units
<h3>Direction of the vector</h3>
θ = arc tan (ΣY/ΣX)
θ = arc tan (20/4)
θ = arc tan (5)
θ = 78.7⁰
θ ≈ 79⁰
Thus, the magnitude of the resultant vectors is 20.4 units and the direction of the vectors is 79⁰.
Learn more about resultant vectors here: brainly.com/question/19802988
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A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
Answer: The no fewer then sign would be <
Reason: let’s say that Alex wanted no fewer then 5 sheets of paper for a project. Alex can’t finish his assignment with only 4 sheets of paper. He can with 6, 7, 8, 9, etc. how we would label this is like this < 5 sheets. Think of the sign like a monster crocodile. It can eat as much as it can.
Answer:
104
Step-by-step explanation:
8(rt 13)(rt 13)
8(13)
104
Answer:
8
Step-by-step explanation:
h=-3 , k=-2, x=5, y=-2
(x-h)^2+(y-k)^2 = r^2
(5-(-3))^2+(-2-(-2))^2
64+0=r^2
r=√64=8