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polet [3.4K]
3 years ago
5

If the unicorn seat on a merry–go–round is 5 feet from the center, and the merry–go–round completes a full rotation in 6 seconds

, how many feet does the unicorn travel in one second?
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0
1.2 feet the unicorn will travel per second
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A constant because it a number
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Suppose f(x) = x2 and g(x) = 4x2. Which statement best compares the graph of g(x) with the graph of f(x)?
Fiesta28 [93]
Given:
f(x) = x²
g(x) = 4x²

Therefore
g(x) = 4f(x)
This means that the value of g(x) is 4 times the value of f(x). So the graph og (x) is the graph of f(x) vertically stretched by a factor of 4.

The graph shown below confirms the conclusion.

Answer: C.
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san4es73 [151]

Answer:

The measure of \theta is 30°.

Step-by-step explanation:

In the statement, the angle has been misrepresented. The corrected statement is described below:

<em>"On a unit circle, the terminal point of </em>\theta<em> is </em>\left(\frac{\sqrt{3}}{2}, \frac{1}{2}  \right)<em>. What is </em>\theta<em>?"</em>

The measure of the angle (\theta), in radians, is in standard form, that is, it is done with respect to the +x semiaxis. The measure of the angle whose terminal point is of the form (x,y) is determined by the following inverse trigonometric function:

\theta = \tan^{-1}\left(\frac{y}{x} \right) (1)

If we know that x = \frac{\sqrt{3}}{2} and y = \frac{1}{2}, then the measure of \theta is:

\theta = \tan^{-1} \frac{\sqrt{3}}{3}

\theta = 30^{\circ}

The measure of \theta is 30°.

4 0
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Step-by-step explanation:

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Ten more then a number is no more than 62
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An equation for "ten more than a number is no more than 62" would be :

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