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seraphim [82]
3 years ago
5

The face of a clock has a circumference of 63 in. What is the area of the face of the clock?

Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Answer:

The area of the clock = 315.41\ inch^{2}

Step-by-step explanation:

We have been given the face of the clock that is 63\ in

So that is also the circumference of the clock.

Since the clock is circular in shape.

So 2\pi(r)=63\ inch

From here we will calculate the value of radius (r) of the clock that is circular in shape.

Then 2\pi(r)=63\ inch =\frac{63}{2\pi} = 10.02\ in

Now to find the area of the clock we will put this value of (r) in the equation of area of the circle.

Now \pi (r)^{2}=\pi(10.02)^{2}=315.41\ in^{2}

So the area of the face of the clock =315.41\ in^{2}

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Use the limit theorem and the properties of limits to find the limit.<br> Picture provided below
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Answer:

b. 1/2

Step-by-step explanation:

lim        (x -3)(x +2)

x-->-∞    ---------------

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= lim        (x^2 -3x +2x - 6)

x-->-∞    -----------------------

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= lim        (x^2 -x - 6)

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When we plug in x = -∞, we get indeterminate form.

Now we have to use the L'hospital rule.

d/dx (x^2 - x - 6) = 2x -1

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Now apply the limit

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x--->-∞

Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.

According to the rule, we get

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Which can simplified as 1/2

The answer is 1/2

Hope this will helpful.

Thank you.

3 0
3 years ago
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Answer:

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Step-by-step explanation:

The equation of the line passing through point (h, k) with slope m can be written ...

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Filling in your given values, the equation is ...

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  y = -1/5x -3/5 +7 . . . . eliminate parentheses

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5 0
4 years ago
P + 46 = 94, what is p?​
Natalka [10]
<h2>P is equal to:</h2>

48.

Because 46+48 equals 94.

You can easily find out equations to this by subtracting the 46 from 94 to see what p is equal to.

<u><em>HAVE A NICE DAY!</em></u>

4 0
2 years ago
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