All categories

3 years ago

Which of these is the area of a sector of a circle with r = 18”, given that its arc length is 6π?

Mathematics

2 answers:

kaheart [24]3 years ago

6 0

Answer:

$169.65\text{ inch}^2$

Step-by-step explanation:

We have been given that the radius of our given circle is 18 inches and the arc length that corresponds to sector is 6 pi.

To find the area of our given sector we will use formula:

$\text{Area of sector}=\pi r^2*\frac{\text{Arc length}}{\text{Circumference of circle}}$

Upon substituting our given values in above formula we will get,

$\text{Area of sector}=\pi*18^2*\frac{6\pi}{2\pi*18}$

$\text{Area of sector}=\pi*324*\frac{1}{6}$

$\text{Area of sector}=\pi*54$

$\text{Area of sector}=169.64600329\approx 169.65$

Therefore, the area of our given sector is 169.65 square inches.

Igoryamba3 years ago

4 0

22/7*18^2*6π/2π*18 = 169.65

You might be interested in

The sum of two integers with different size is eight give to possible integers that fits this description

kozerog [31]

Examples would be 2+6 = 8 with two of the integer that are different

5 0

3 years ago

COPY THE TABLE BELOW IN YOUR NOTEBOOK. THEN ROUND EACH ITEM TO THE NEAREST HUNDREDTHS AND THOUSANDS

kobusy [5.1K]

What’s the items number. ? When rounding everything in front of the decimal find the place value it wants you to round then if it’s 5 or below round the the lowest whole number. If it’s behind a decimal you would do the same thing. It’s the number is higher than 5 round it up.

8 0

3 years ago

Calculate the speed of a wave with the frequency of 100 hz and wavelength of 250 m, please.

masya89 [10]

Answer:

25000m/s

Step-by-step explanation:

The following formula is used to calculate the speed or velocity of a wave.

V = f * w

Where V is the velocity (m/s)

f is the frequency (hz)

w is the wavelength (m)

First, determine the frequency.

Calculate the frequency of the wave.

Next, determine the wavelength.

Calculate the wavelength of the wave.

Finally, calculate the wave speed.

Using the formula above, calculate the wave speed.

7 0

3 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago

Please help me with this

Andre45 [30]

Answer:

Step-by-step explanation:

Divide one sample of jumping jacks by each girl by their time to find the unit rate. Then compare unit rates. Recall, a unit rate is the number of jumping jacks done in one minute. Cortney does 15 jumping jacks in 1 minute in the first entry of the table. Mallory does 60 jumping jacks in 5 minutes according to a point on the graph. Divide 60/5=12. She does 12 jumping jacks per minute. Thus Cortney does 3 more per minute.

8 0

3 years ago