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ivanzaharov [21]
2 years ago
8

kyle is pulled back on a swing so that the rope forms an angle of 30 degress with the vertical the distance from the top of the

swing set directly to the ground is 12 feet find kyles height off the ground
Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

12 ft - 2 ft = 10 ft

The rope is 10 feet long.

10 · cos 30° = 10 · √3 / 2 = 8.66 ft

x = 12 - 8.66 = 3.34 ft

Answer:

A ) 3.34 feet

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Step-by-step explanation:

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3 years ago
A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor of t
mariarad [96]

Answer:

scale factor = 5

Step-by-step explanation:

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8 0
3 years ago
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)

  27/103 = (59/103)^(t/46) . . . . . divide by 103

Taking logs gives the linear equation ...

  log(27/103) = (t/46)log(59/103)

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

  t = 46·log(27/103)/log(59/103) ≈ 46·(-0.58147346)/(-0.24198521)

  ≈ 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.)

6 0
3 years ago
قالت تبيلة: هذه صديقتي، ... رينا، هي طالبة جديدة أيضا.​
kobusy [5.1K]

Answer:

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Step-by-step explanation:

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3 years ago
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