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otez555 [7]
2 years ago
5

Question 1

Mathematics
1 answer:
Scrat [10]2 years ago
6 0

Answer:

17.11 meters

Step-by-step explanation:

You are using trigonometry in this problem.

The height of the flagpole represents the side <u><em>opposite</em></u> the given angle.

The base of the triangle is given as 19 meters and represents the side <u><em>adjacent</em></u> to the given angle.

Out of the main trigonomentric functions (sine, cosine, and tangent), only tangent uses both the opposite and adjacent sides.

Tan(angle) = opposite / adjacent

If we plug in what we know into that equation: <em>tan(42 degrees) = h / 19</em>

This means that <em>your answer = 19 * tan(42) = 17.11</em> meters

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2 years ago
I need the answer please
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3 years ago
What are the domain and range of f (x) = log (x minus 1) 2?.
statuscvo [17]

You can use the definition of logarithm and the fact that a positive number raised to any power will always stay bigger than 0.

The domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers)

<h3>What is the definition of logarithm?</h3>

If a is raised to power b is resulted as c, then we can rewrite it that b equals to the logarithm of c with base a.

Or, symbolically:

a^b =  c \implies b = log_a(c)

Since c was the result of a raised to power b, thus, if a was a positive number, then a raised to any power won't go less or equal to zero, thus making c > 0

<h3>How to use this definition to find the domain and range of given function?</h3>

Since log(x-1) is with base 10 (when base of log isn't specified, it is assumed to be with base 10) (when log is written ln, it is log with base e =2.71828.... ) thus, we have a = 10 > 0 thus the input x-1 > 0 too.

Or we have:

x > 1 as the restriction.

Thus domain of the given function is {x | x > 1 and a real number }

Now from domain, we have:

x >  1\\&#10;x-1 > 0\\&#10;log(x-1) > -\infty\\&#10;log(x-1) + 2 > -\infty\\&#10;f(x) > -\infty (log(x-1) > -infinity since log(0) on right side have arbitrary negatively large value which is denoted by -infinity)

Thus, range of given function  is whole real number set \mathbb R (since all finite real numbers are bigger than negative infinity)

Thus, the domain of the given function is  {x | x > 1 and a real number }

The range of the given function is \mathbb R (set of real numbers

Learn more about domain and range here:

brainly.com/question/12208715

8 0
2 years ago
28 students in the class 75% pass how many students pass
SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction  \frac{75}{100} (which is 75% represented as a fraction).

\frac{X}{28} = \frac{75}{100}

The fraction \frac{75}{100} can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with \frac{3}{4}.

\frac{X}{28} = \frac{3}{4}

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28

The denominators cancel out leaving you with a simple equation to simplify.

4* X =  3 * 28

4X = 84

Finally, divide both sides by four in order to isolate the variable.

\frac{4X}{4} = \frac{84}{4}

X = 21.

5 0
3 years ago
Select the correct statement or statements about compounds and molecules:
sineoko [7]

Answer:

1) and 3)

Step-by-step explanation:

7 0
3 years ago
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