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e-lub [12.9K]
4 years ago
14

3. At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a tabl

e for the next 4 visits for each inspector. (b) In how many days will both inspectors visit on the same day? Show your work. Answer:
Mathematics
1 answer:
notka56 [123]4 years ago
3 0
A)
Health inspector: 7, 14, 21, 28
Fire inspector: 12, 24, 36, 48

B) To answer this question you simply need to find the least common multiple(LCM). First look for the factor for 7(health inspector) and 12(fire inspector)
7= 1x7
12= 2 x 2 x 3

Since there is no common factor, you can simply multiply both number to find LCM: 7x12 day= 84 days.
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Given:

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x lies in the III quadrant.

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It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

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Now,

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\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

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\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

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