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3 years ago

For what value of x is sin x = cos 19º, where 0°< x < 90°?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

7 0

Answer:

71°

Step-by-step explanation:

The cosine of an angle is equal to the sine of its complement:

cos(19°) = sin(90° -19°) = sin(71°)

Comparing to the given expression, we see that x = 71°.

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3 years ago

You have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always

velikii [3]

Answer:

120 ways.

Step-by-step explanation:

We have been given that you have 6 reindeer, Prancer, Rudy, Balthazar, Quentin, Jebediah, and Lancer, and you want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line.

We will use permutation formula to solve our given problem as:

$_{r}^{n}\textrm{C}=\frac{n!}{(n-r)!}$

$_{3}^{6}\textrm{C}=\frac{6!}{(6-3)!}$

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Therefore, you can arrange your reindeer in 120 different ways.

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