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Vesna [10]
3 years ago
12

In the right triangle shown

Mathematics
1 answer:
Semmy [17]3 years ago
3 0

Answer:

BC = 6

Step-by-step explanation:

Using the sine ratio in the right triangle and exact value

sin30° = \frac{1}{2}

sin30° = \frac{opposite}{hypotenuse} = \frac{BC}{AB} = \frac{x}{12} = \frac{1}{2} ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

That is BC = 6

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The range of F(x) = logb x is the set of all real numbers. True or false
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Check the picture below, that's just an example of a parabola opening upwards.

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\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

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raketka [301]
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I hope this helps.
4 0
3 years ago
Read 2 more answers
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