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miskamm [114]
3 years ago
7

Which of the following is an irrational number?

Mathematics
2 answers:
Gelneren [198K]3 years ago
7 0
B
An irrational number can’t be expressed as a fraction
Fantom [35]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

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What is the trigonometric ratio for sin Z ?
Schach [20]

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

\sin(Z) = \dfrac{XY}{XZ}

In order to find XY, we have

XY = \sqrt{XZ^2-YZ^2} = \sqrt{1600-1024}=\sqrt{576} = 24

So, the ratio for the sine is

\sin(Z) = \dfrac{XY}{XZ} = \dfrac{24}{40} = \dfrac{3}{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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Step-by-step explanation:

8 0
3 years ago
The circumference of the moon is about 6,786 miles. What is the diameter of the moon rounded to the nearest mile?
Ainat [17]

Answer:

πd=6786 miles

3.14×d=6786

d=6786/3.14

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4 0
3 years ago
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to o
Roman55 [17]

Answer:

Range = 11-2=9

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

\sigma^2 =8.25 \approx 8.3

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

Step-by-step explanation:

Assuming this question: "Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 2,3,4,5,6,7,8,9,10,11 "

Solution to the problem

The range is defined as Range = Max -Min and if we replace we got:

Range = 11-2=9

Now we can calculate the population mean with this formula:

\mu =\frac{\sum_{i=1}^n X_i}{N}

And if we replace we got:

\mu = \frac{2+3+4+5+6+7+8+9+10+11}{10}=6.5

The population variance is given by:

\sigma^2 = \frac{\sum_{i=1}^n (X_i -\mu)^2}{N}

And after replace we got: \sigma^2 =8.25 \approx 8.3

And the population standard deviation would be just the square root of the variance and we got:

\sigma = \sqrt{8.25}= 2.87 \approx 2.9

4 0
4 years ago
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