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4 years ago

13

What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians?

1 answer:

ivann1987 [24]4 years ago

3 0

There are two formulae for this:

<span>angle/360 X (pi) X (radius squared) = Area of a sector </span>

<span>angle/360 X (pi) X (diameter) = Arc Length of sector </span>
<span>or </span>
<span>angle/360 X (2) X (pi) X (radius) = Arc Length of sector </span>

<span>If you want to work out the perimeter of a sector, use this formula: </span>

<span>Arc Length + (2 X radius) = Perimeter of sector. </span>

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slavikrds [6]

Answer:

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3 years ago

A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level

cupoosta [38]

Answer:

The sample required is $n = 135$

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is $E = 2$

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

substituting values

$n = [ \frac{ 2.58 * 9 }{2} ]^2$

$n = 135$

3 0

3 years ago

What is the line segments between (4,-6) and (-6,-16)?

sergejj [24]

The line segments between (4,-6) and (-6,-16) is 1.

slope = y2 -y1 /x2-x1 = -16+6/-6-4=-10/-10=1

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3 years ago

Which is a solution to the equation y=5x-6

Vilka [71]

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3 years ago

Read 2 more answers

Solve for a:<br>9+2a = -3-4a

lubasha [3.4K]

Answer:

a=-2

Step-by-step explanation:

Let me know if you need the steps tho.

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3 years ago