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dangina [55]
1 year ago
15

One leg of a right triangle has a measure of 19 units. The hypotenuse has a measure of 7085 square root units. Determine the len

gth, in units, of the other leg. Show you work for partial credit
Mathematics
1 answer:
andreev551 [17]1 year ago
6 0

Answer:

  • The other leg is 82 units

------------------------

Given:

  • a = 19,
  • c = \sqrt{7085},
  • b = ?

Find the missing leg, using Pythagorean:

  • a² + b² = c²
  • 19² + b² = 7085
  • 361 + b² = 7085
  • b² = 7085 - 361
  • b² = 6724
  • b = \sqrt{6724}
  • b = 82
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Answer: Options 'C' and 'E' are correct.

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According to question,

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Step-by-step explanation:

The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

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  BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm

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<em>Additional comment</em>

As is often the case, a simple estimate is all that is needed to identify the correct answer choice.

You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.

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from above total number of chips =4+6+5+2+1 =18

hence Probabilty of win 0 P(0)=4/18

P(1) =6/18

P(5) =5/18

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0    0.22     0.00

1     0.33      0.33

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therefore expeted value =8.39

Learn more about probability

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