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Mice21 [21]
3 years ago
5

In right trapezoid MNPQ

Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

  about 252.78 ft

Step-by-step explanation:

Define angle QMP as α. Then ...

  MN = 60·sin(α)

  NP = 60·cos(α)

  area MPN = (1/2)(MN)(NP) = 1800sin(α)cos(α)

__

  PQ = 60tan(α)

  area MPQ = (1/2)(MP)(PQ) = 1800tan(α)

__

The ratio of areas is 2.5, so we have ...

  1800tan(α) = 2.5·1800sin(α)cos(α)

  1 = 2.5cos(α)² . . . . . . divide by 1800tan(α)

  cos(α) = √0.4 . . . . . . solve for cos(α)

__

Then the perimeter is ...

  Perimeter = MN +NP +PQ +QM = 60sin(α) +60cos(α) +60tan(α) +60/cos(α)

  = 60(sin(α) +cos(α) +tan(α) +sec(α))

  = 60(0.774597 +0.632456 +1.224745 +1.581139)

  = 60(4.212936) = 252.776

The perimeter of the trapezoid is about 252.776 feet.

_____

With perhaps a little more trouble, you can find the exact value to be ...

  perimeter = (6√10)(7+√6+√15)

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Answer:

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Step-by-step explanation:

Given

Correct \Marks= +5

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Required

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First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

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Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

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Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

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3 years ago
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Maslowich

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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