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Andreyy89
3 years ago
5

Find the missing angle.​

Mathematics
2 answers:
Rus_ich [418]3 years ago
7 0

Answer:

x = 142

Step-by-step explanation:

they're congruent because they're vertical angles

notsponge [240]3 years ago
3 0

Answer:

142°

Step-by-step explanation:

They're vertical angles. they have the same measure

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160 + (-125) + 40 = 75

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WILL mark brainliest!
Angelina_Jolie [31]

Answer:

  110.5348 minutes

Step-by-step explanation:

The difference from room temperature changes from 103 to 59 in 46 minutes, so that difference can be modeled by the exponential equation ...

  Δt = 103×(59/103)^(t/46)

We want to find t for the temperature difference Δt = 91 -64 = 27.

  27 = 103×(59/103)^(t/46)

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Taking logs gives the linear equation ...

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Multiplying by the inverse of the coefficient of t, we get ...

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  ≈ 110.5347

It will take about 110.5347 minutes for the turkey to cool to 91 °F internally.

_____

<em>Comment on 4 decimal places</em>

An answer correct to 4 decimal places (7 significant digits) is a pretty good indication that the problem was worked correctly. However, that level of precision in the timing makes little sense in this context. Most thermometers will take at least a few seconds to register the temperature to within a tenth of a degree or so. This problem is asking for an answer that is within 6 milliseconds and 30 micro-degrees. Neither of these is anywhere near realistic for a kitchen meat thermometer.

More realistic would be an answer to 4 <em>significant figures</em>, a tenth of a minute and a few hundredths of a degree.

(The rate of change at the time of interest is about -0.33 degrees per minute.)

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3 years ago
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