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sarah_hendrix7

  • 2 years ago

Help? The small town of Quincy recently installed a tornado siren in the center of the downtown area. In ideal conditions, the siren can be heard from a distance of 4 miles in every direction. The Pavlov family is thinking of buying a house 2.5 miles east and 3 miles north of the siren. Will they be able to hear the siren if it sounds? Justify your answer.

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  1. Notamathgenius
    • 2 years ago
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    |dw:1368726757280:dw| Yes they will be able to hear it, they will be withing 4 miles east and withing 4 miles north

  2. annacn1024
    • 2 years ago
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    To calculate a vector (in this case, a radius from the beacon) use the pythagorean theorem: \[a ^{2}+b ^{2}=c ^{2}\] |dw:1368726986917:dw| Your triangle has a leg of 2.5 miles (distance east of beacon) and a leg of 3 miles (distance north of beacon). What is the hypotenuse of your triangle?

  3. sarah_hendrix7
    • 2 years ago
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    3.9

  4. Notamathgenius
    • 2 years ago
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    Under 4 miles

  5. annacn1024
    • 2 years ago
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    Yes! Well done :)

  6. sarah_hendrix7
    • 2 years ago
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    Thanks :)

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