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Vadim26 [7]
3 years ago
13

Barack walks 2 kilometers south and then x kilometers east. ​ ​He ends 5 kilometers away from his starting position. ​ ​ Find x

rounded to the nearest tenth of a kilometer. ​
Mathematics
1 answer:
amid [387]3 years ago
7 0

Answer:

4.6 km

Step-by-step explanation:

-This is a Pythagorean Theorem problem where the distances walked are effectively the base and height of the imaginary right triangle thereof.

#Apply Pythagorean theorem to solve:

b^2+h^2=H^2\\\\2^2+x^2=5^2\\\\x^2=5^2-2^2=21\\\\x=\sqrt{21}\\\\x=4.58\  km

\approx 4.6\ km

Hence, the distance x is 4.6 km

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Here is the full data for the question.

Each person in the state of Texas generate roughly 7.5 pounds of municipal solid waste each day. Of this amount, roughly 35 percent of the waste is currently recycle in Texas. Studies have shown that the maximum amount of waste that could be realistically recycled or otherwise diverted from the landfill is 50 percent.

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II. Total MSW currently recycled each year, in pounds?<u>              </u> Tons?<u>          </u>

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III Amount of the MSW that could realistically be diverted from the landfill if recycling was maximized to the nearest pound.

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Answer:

Step-by-step explanation:

11)

I) The amount of total MSW generated per day in pounds is = 1,500,000 Pounds

The total MSW generated per day  in tons is = 750 Tons

The amount of the total MSW generated per year in pounds will be:

= 1,500,000 × 365

= 547,500,000 Pounds

The amount of the total MSW generated per year in tons is

= 750 × 365

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II)

The amount of the total MSW currently recycled per day is pounds

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Total MSW currently recycled per day in tons is

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= 5,338,125,000/1,200

= 4,448,437.5 Cubic yard

≅ 4,448,438 Cubic yard

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