$78 per hour to cents per minute.

Mathematics

1 answer:

yanalaym [24]3 years ago

3 0

Answer:

130 cents per minute

Step-by-step explanation:

Convert dollars to cents.

Note that 1$ = 100 cents.

Note that 1 hour = 60 minutes.

Using Dimensional Analysis would be a great way to approach this question and see how each of the units convert.

(78 $/1 hr) ( 1 hr / 60 min ) ( 100 cents / 1 $)

= 130 cents per minute.

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$\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}$

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