angles a and angles t Are complementary. the measure of angles t is three times the measure of angles a what is measure angles a

1 answer:

6 0

Short Answer: 22.5
Givens
A + T = 90o Definition of complementary.
T = 3*A

Sub and Solve
A + 3A = 90
4A = 90
A = 90/4
A = 22.5°

Answer A = 22.5°

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A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. When the weight it rele

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For a better understanding of the explanation provided here kindly go through the file attached.

Since, the weight attached is already at the lowest point at time, t=0, therefore, the equation will have a -9 as it's "amplitude" and it will be a Cosine function. This is because in cosine function, the function has the value of the amplitude at t=0.

Now, we know that the total angle in radians covered by a cosine in a given period is $2\pi$ and the period given in the question is t=3 seconds. Therefore, the angular velocity, $\omega$ of the mentioned system will be:

$\omega=\frac{2\pi}{3}$

Combining all the above information, we see that the equation which models the distance, d, of the weight from its equilibrium after t seconds will be:

$d=-9cos(\frac{2\pi}{3})t$

Thus, Option B is the correct option. The attached diagram is the graph of the option B and we can see clearly that at t=3, the weight indeed returns to it's original position.