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kupik [55]
2 years ago
9

I know the answer but plz explain it. 5:3 × 6:2

Mathematics
1 answer:
stira [4]2 years ago
3 0
5:3 x 6:2 can also be written as a fraction
5/3 x 6/2
Multiply across
30/6
Simplify
5/1
Rewrite
5:1 is your answer, or if your teacher does not want it simplified, 30:6

Hope I helped! :)
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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.

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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}

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3 years ago
What is the diameter if the radius is 6ft.?
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Answer:

Diameter = 12 ft.

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d = 2r; r = \frac{1}{2}d.

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A medical office is replacing their existing flooring with carpeting in the waiting and office areas and laminate flooring in th
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Area of 1 exam room = 10 ft. × 10 ft. = 100 ft.²
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Area of waiting room = 20 ft. × 15 ft. = 300 ft.²

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Now,
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