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Andrei [34K]
3 years ago
12

Drusilla replaces the light bulb in the hall closet every 9 months and replaces the air filter every 6 months she just replaced

both items this month after how many months will she replace both the light bulb and the air filter? Select all that apply
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0
Drusilla will replace both items in 18 months and 36 months.
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Answer:

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Step-by-step explanation:

Given

tan\theta = 3

Required

Find

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi)

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Using tan rule

tan(\theta + \pi)  = \frac{tan\theta + tan\pi}{1 - tan\theta tan\pi}

So:

tan(\theta + \pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

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tan(\theta + \pi)  = \tan\theta

tan(\theta+2\pi)

tan(\theta + 2\pi)  = \frac{tan\theta + tan2\pi}{1 - tan\theta tan2\pi}

tan(\theta + 2\pi)  = \frac{tan\theta + 0}{1 - tan\theta *0}

tan(\theta + 2\pi)  = \tan\theta'

'So:

tan\theta + tan(\theta + \pi) + tan(\theta+2\pi) = tan\theta +tan\theta +tan\theta

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4 0
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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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