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3 years ago

These are the answers.........................

Mathematics

1 answer:

Reika [66]3 years ago

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Thank youuuu so muchhh :)))

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The perimeter of a rectangle is 20 centimeters the length is 6 cm what is the area of a rectangle?

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4 years ago

If 3x + 2 = 6, what is the value of x?

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Answer:

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3 years ago

An object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seco

bulgar [2K]

Answer:

$y=2\text{cos}((\frac{2\pi}{3})t)$

Step-by-step explanation:

We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.

We know that standard form of cosine function is $y = A\cdot \text{cos}(Bt-C)+D$ , where,

|A| = Amplitude,

Period = $\frac{2\pi}{|B|}$ ,

C = Phase shift,

D = Vertical shift.

Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, $A = 2$ .

Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by $\frac{2\pi}{|B|}$ , therefore, we can write $\frac{2\pi}{|B|}=3$ , therefore, $B = \frac{2\pi}{3}$ .

We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero .

Therefore, our function required function would be $y=2\text{cos}((\frac{2\pi}{3})t)$ .

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4 years ago