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Goshia [24]
3 years ago
9

An arc of a circle measures 80 degrees and the length of 88pie cm. what is the diameter?

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0
If             80°  ------> 88π cm
Then      360°  ------>  x cm

So:

x = (88π x 360) ÷ 80
x = 396 π   (lenght of the circle)

The relationship of Lenght of circle and its diameter is:

L = d .π 

replacing L:
396 π = d.π  ----> d = 396 cm  <---- here is your answer




  
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Where do you find a vertical shift in the exponential parent function?
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For the given expressions we will have:

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y = exp(x) - 6  → we have a shift of 6 units down.

<h3>How to work with vertical and horizontal shifts?</h3>

Remember that the shifts work as follows.

For a function f(x), we define a vertical shift of N units as:

g(x) = f(x) + N

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For a function f(x), we define a horizontal shift of N units as:

g(x) = f(x + N)

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Then, if we have:

exp(x - 4) we have a shift of 4 units to the right.

exp (x +9) we have a shift of 9 units to the left.

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= \frac{2}{3}  +  \frac{3 \sqrt{5} }{3}

=  \frac{2  \: +  \: 3 \sqrt{5} }{3}

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