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valentina_108 [34]
3 years ago
8

60 POINTS 60 POINTS 60 POINTS 60 POINTS Please give the correct answers

Mathematics
2 answers:
tester [92]3 years ago
3 0
<h3>Answer:</h3>

<u>Ratio of perimeters for two pentagons are</u>:

  • 32cm²/98cm²
  • 16/49 (Divided by 2)

<u>Correct choice</u> - [A] 16:49.

Monica [59]3 years ago
3 0

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

<u>The</u><u> </u><u>ratio</u><u> </u><u>of</u><u> </u><u>perimeters</u><u> </u><u>for</u><u> </u><u>two</u><u> </u><u>regular</u><u> </u><u>Pentagon</u><u> </u>

  • ones is =32cm^2
  • another =98cm^2

we have to find the ratio.

  • \sf{ Ratio=\dfrac{1st~one}{second one}  }

  • \sf{ratio=\dfrac{32}{98}   }

  • \sf{ratio=\dfrac{16}{ 49}  }

  • \sf{ratio =16:49   }
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The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

\mathbf{x = 100\ m}

\mathbf{\frac{dy}{dt} = 2\ ms^{-1}} ---- the rate

\mathbf{\theta = \frac{\pi}{4}}

First, we calculate the vertical distance (y) using tangent ratio

\mathbf{\tan(\theta) = \frac{y}{x}}

Substitute 100 for x

\mathbf{y = 100\tan(\theta) }

\mathbf{\tan(\theta) = \frac{y}{100}}

Differentiate both sides with respect to time (t)

\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}

Substitute values for the rates and \mathbf{\theta }

\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

This gives

\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}

Divide both sides by 2

\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }

\mathbf{ \frac{d\theta}{dt} = 0.01 }

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

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