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VashaNatasha [74]
3 years ago
12

Suppose the function H(t) = 8.5sin(0.017t – 1.35) + 12 models the hours of sunlight for a town in Alaska, where t = 1 is the fir

st day of the year. Based on the function, what is the approximate range of daylight hours for the town?
Mathematics
1 answer:
Vitek1552 [10]3 years ago
8 0

Answer:

  3.5 to 20.5 hours

Step-by-step explanation:

The range of the sine function is -1 to 1, so the range of H will be ...

  -8.5 +12 = 3.5

to

  8.5 +12 = 20.5

The length of the day varies by 17 hours from 3.5 hours to 20.5 hours.

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