The two rectangles are similar. Find X.
2 answers:
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Answer:
Step-by-step explanation:
The sine of an angle is defined as the ratio between the opposite side and the hypotenuse of a given right-angled triangle;
sin x = ( opposite / hypotenuse)
The opposite side to the angle x is thus 1 unit while the hypotenuse is 3 units. We need to determine the adjacent side to the angle x. We use the Pythagoras theorem since we are dealing with right-angled triangle;
The adjacent side would be;
The cosine of an angle is given as;
cos x = (adjacent side / hypotenuse)
Therefore, the cos x would be;
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
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