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Vesna [10]
4 years ago
13

Outside temperature over a day can be modeled as a sinusoidal function. suppose you know the temperature is 75 degrees at midnig

ht and the high and low temperature during the day are 87 and 63 degrees, respectively. assuming t is the number of hours since midnight, find an equation for the temperature, d, in terms of t.

Mathematics
1 answer:
antoniya [11.8K]4 years ago
5 0

We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write

... d = 75-12sin(π·t/12)

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denis23 [38]

Answer:

The added term needed for that expression to be a square is 9/16.

Step-by-step explanation:

We're provided with two terms, and asked to add an additional term to make this a perfect square.  For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.

That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.

If we tack that on the end then, we get:

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To confirm the answer, let's expand it and see if we get the original expression:

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4 0
3 years ago
A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and
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Answer:

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Step-by-step explanation:

Let length of pool be l and width of pool be w.

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That is

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The pool is 8 feet less wide than it is long.      

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eqn 1 + eqn 2

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