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jarptica [38.1K]
3 years ago
9

If a clock is set to Greenwich Mean Time and the Sun is observed to reach its zenith at 10:00 A.M., what is the longitude?

Mathematics
1 answer:
Rasek [7]3 years ago
3 0

Answer:

The answer to the question is

30 ° east of Greenwich Mean Time

Step-by-step explanation:

To solve this we have the given variables

Current Greenwich Mean Time = 10.00 AM

Location of the Sun at the current longitude = zenith

Supposed correct time when clock is at zenith = 12 noon or 12.00 pm

Time difference, or correction required = 10.00 a. m. - 12 p. m. = 2 hours leading

As there are 24 hours in a day one hour of the difference in time is equivalent to 360/24 or 15 ° and as the Sun is already at its zenith at the location then the location is eastwards of Greenwich Mean time that is,

15 ° × 2 = 30 ° east of Greenwich Mean Time

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Step-by-step explanation:

Formulas for arithmetic sequences are generally written in one of two forms. The form you're given here is called an "explicit" formula. For some value of n, you can find the n-th term by evaluating the formula.

The form used in the first three answer choices is called a "recursive" formula. The value of the n-th term depends not on 'n', but on the previous term.

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  explicit formula   ⇔   recursive formula

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The values of the first term (A₁), the common difference (d), and the term index number (n) are the same in both forms. Once you see this relationship, you should be able to find ...

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__

Here, the given function tells you ...

  • A₁ = 5
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This means the formulas that describe the same sequence are ...

  \square\ \begin{cases}a_1=5\\a_n=a_{n-1}+4\end{cases}\\\\\square\ A(n)=5+4(n-1)

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<em>Additional comment</em>

The commutative property of multiplication tells you that (n-1)(4) = 4(n-1). The order of the operands makes no difference. The given function has the first of these forms, the offered answer choices have the second of these forms.

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Step-by-step explanation:

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