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Alexandra [31]
2 years ago
5

A right triangle has side lengths 5, 12, and 13 as shown below.

Mathematics
1 answer:
Gelneren [198K]2 years ago
8 0

Answer:

sin M = \frac{12}{13}, tan M = \frac{12}{5}, cos M = \frac{5}{13}

Step-by-step explanation:

The sine of an angle is equal to \frac{opposite}{hypotenuse}.  The opposite (opposite from the angle) side is 12 and the hypotenuse is 13.

The tangent of an angle is equal to \frac{opposite}{adjacent}.  The opposite side is 12 and the adjacent (next to the angle) side is 5.

The cosine of an angle is equal to \frac{adjacent}{hypotenuse}.  The adjacent (next to the angle) side is 5 and the hypotenuse is 13.

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9x² - 54x = 0

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hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same
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Answer:

p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

p(x) = 6-x and

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First of all, let us have a look at the definition of domain and range.

Domain of a function y =f(x) is the set of input value i.e. the value of x for which the function f(x) is defined.

Range of a function y =f(x) is the set of output value i.e. the value of y or f(x) for the values of x in the domain.

Now, let us consider the given functions one by one:

p(x) = 6-x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which p(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

q(x) = 6x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which q(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

Hence, the correct answer is:

p(x) and q(x) have the same domain and the same range.

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3 years ago
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