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3 years ago

The area of the shaded region of circle O is 9π m2

1 answer:

5 0

For full circle area is π * R² [here R = radius],
for a sector of circle with angle β, area will be = (β/2) * R², β is in radian,
here let β = 22.5° = (π * 22.5/180) = π/8 radian,
now [(π/8)/2] * R² = 9π, [π/16] * R² = 9π
R² = 9 * 16 = 144,
R = √144 = 12 m

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3 years ago

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djverab [1.8K]

Answer:

The answer is in attached picture.

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Given the parent linear function:

$\displaystyle f(x)=x$

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$f(x)=x+n$

So, a vertical shift of 5 units up implies that n=5. So:

$f(x)=x+5$

As given.

However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:

$f(x-n)=(x-n)$

Where n is the horizontal shift.

For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:

$f(x-1)=(x-1)$

Or:

$f(x)=x-1$

We notice that this is also a vertical shift of 1 unit downwards.

Therefore, we want a number n such that -n=5.

So, n=-5.

Therefore, it we shift our function 5 units to the left, then n=-5.

Then, our function will be:

$f(x-(-5))=(x+5)\text{ or } f(x)=x+5$

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3 years ago

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Answer:

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Step-by-step explanation:

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In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Nicole's z-score:

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