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Artyom0805 [142]
3 years ago
6

How do you find the exact value of sec θ if sin θ = -15/17 and 180 < θ < 270?

Mathematics
1 answer:
AnnyKZ [126]3 years ago
7 0

For 180^\circ, we expect to have \cos\theta. Then if \sin\theta=-\dfrac{15}{17}, we have

cos^2\theta+\sin^2\theta=1\implies\cos\theta=-\sqrt{1-\sin^2\theta}=-\dfrac8{17}

\implies\sec\theta=\boxed{-\dfrac{17}8}

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weqwewe [10]
<h3>Answer: Choice 2.   a \ge -3 \ \text{ and } \ a \le 3</h3>

=====================================================

Explanation:

The rule is that if |a| \le k for some positive number k, then it can be written as the compound inequality -k \le a \le k. This is a shorthand way of writing the two inequalities a \ge -k \ \text{ and } \ a \le k combined together.

note: -k \le a is the same as a \ge -k

From here, we replace k with 3

Therefore, |a| \le 3 turns into -3 \le a \le 3 which breaks down further to a \ge -3 \ \text{ and } \ a \le 3

The keyword "and" is important as we can't pick one or the other. We must pick both a \ge -3 and also a \le 3

8 0
3 years ago
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36 is 75% of what number
g100num [7]
Learn this and it can answer all ur percent problems
percent formula : is/of = %/100

36 is 75% of what number...
is = 36
% = 75
of = x.....because that is what u are looking for.
now sub into the percent formula

is/of = %/100
36/x = 75/100
cross multiply because this is a proportion
75x = 36(100)
75x = 3600
x = 3600/75
x = 48

so 36 is 75% of 48
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3 years ago
Y^2-90=13y, using factoring
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Step-by-step explanation:

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marishachu [46]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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hope that helps

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