If a movie started at 4:45 and ended at 6:20 how long was the movie?

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

The movie was 1 hour and 35

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What theorem has been proven here?

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3 years ago

What I the slope of the line? y-3=5(x-2)

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Y-3=5(x-2)
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y=5x-13
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2 years ago

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Please someone help me!!

ozzi

Answer:

5 feet squared

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3 years ago

Solve using algebraic equation: 5sin2x=3cosx (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

$10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0$

Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .

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3 years ago

What is 4/11 in decimal form?

Rudiy27

4/11 is 0.363636363636
And "36" just keeps repeating

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3 years ago