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Pavel [41]
3 years ago
12

Trigonometry Problem Find the length of the missing side.

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0

Answer:

  19.0

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship ...

  Cos = Adjacent/Hypotenuse

  cos(38°) = 15/w

  w = 15/cos(38°) ≈ 19.035

The length of the missing side is about 19.0.

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Prove that the Greatest Integer Function f: R -> R given by f(x) = [x], is neither one-once nor onto, where [x] denotes the g
Karo-lina-s [1.5K]
F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one

Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7

So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.

The answer was quite complicated but I hope it will help you.
8 0
4 years ago
3x + 2 is an expression or an equation​
Roman55 [17]
Equation DONT USE THE LINK
8 0
3 years ago
A study dealing with health care issues plans to take a sample survey of 1500 Americans to estimate the mean dollar amount that
frutty [35]

Answer:

The population parameter of this study is the population mean.

Step-by-step explanation:

A population parameter is a numerical measure representing a certain characteristic of the population. For example, population mean, population variance, population proportion, and so on.

The population parameter is computed using all the values of the population.

The population parameter can be estimated using the sample statistic. If the value of the population parameter is not known, then a random sample of large size, say <em>n</em> ≥ 30 can be selected from the population and the statistic value can be computed. This statistic value is considered as the point estimate of the parameter. It is also known as the unbiased estimator of the parameter.

In this case the survey involved sampling of 1500 Americans to estimate the mean dollar amount that Americans spent on health care in the past year.

The sample selected is used to compute the sample mean dollar amount that Americans spent on health care.

So, the population parameter of this study is the population mean.

7 0
3 years ago
2.456times10^11 in standard form
Gelneren [198K]

2.456 x 10^11= 245600000000

4 0
4 years ago
Read 2 more answers
What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????
dmitriy555 [2]

Given:

The geometric sequence is:

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

Here, the first term is:

a=\dfrac{7}{9}

The common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}

r=\dfrac{-7}{3}\times \dfrac{9}{7}

r=-3

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=\dfrac{7}{9},r=-3,n=9 to find the 9th term.

a_9=\dfrac{7}{9}(-3)^{9-1}

a_9=\dfrac{7}{9}(-3)^{8}

a_9=\dfrac{7}{9}(6561)

a_9=5103

Therefore, the 9th term of the given geometric sequence is 5103.

5 0
3 years ago
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