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Tresset [83]
1 year ago
15

View the triangle below.For the indicated angle, express the quotient in terms of sine, cosine, or tangent. Then, write the quot

ient in simplest terms.

Mathematics
1 answer:
kogti [31]1 year ago
7 0

We will have the following:

First:

\frac{4}{6}=\tan (\beta)

And:

\beta=\tan ^{-1}(\frac{4}{6})

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Solve the inequality | x + 5/3 | -3 > 6
horrorfan [7]

Answer

The solution to the inequality is x > 22/3 or x < -32/3

Explanation

The given inequality is:

|x+\frac{5}{3}|-3>6

The inequality can be solved as follows:

\begin{gathered} |x+\frac{5}{3}|-3>6 \\  \\ Take-3\text{ }to\text{ }the\text{ }other\text{ }side\text{ }of\text{ }the\text{ }inequality\text{ }sign \\  \\ |x+\frac{5}{3}|>6+3 \\  \\ |x+\frac{5}{3}|>9 \end{gathered}

Now, split the absolute value into two inequalities, for case > 9 or < -9

\begin{gathered} x+\frac{5}{3}>9\text{ }or\text{ }x+\frac{5}{3}9-\frac{5}{3}\text{ }or\text{ }x\frac{22}{3}\text{ }or\text{ }x

Hence the solution to the inequality | x + 5/3 | -3 > 6 is x > 22/3 or x < -32/3

5 0
1 year ago
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