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Elis
3 months ago
13

A recycling truck begins its weekly route at the recycling plant at point A, as pictured on the coordinate plane below. It trave

ls from point A to point B, then points C, D, and E, respectively, before returning to the recycling plant at point A at the end of the day. The truck’s route is illustrated on the coordinate plane below. If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?
A. 41

B. 38

C. 13

D. 5

(The picture of the graph should be there, I apologize if it isn't clear enough. Also, please explain the answer in detail, I want to try to understand it so when I approach a problem like this, I will know what to do)

Mathematics
2 answers:
Inessa [12.5K]3 months ago
5 0

Response:

41

Detailed explanation:

Svet_ta [12.7K]3 months ago
5 0

Response:

  • B. 38

Detailed explanation:

  • Apply the Pythagorean theorem to determine line distances

The shape formed by the route exhibits symmetry, and

  • BC = EA
  • CD= DE

The total distance calculates as the perimeter of the polygon

1. AB is a horizontal line, measuring 2 units (from -1 to 1)

  • 1 - (-1) = 2 miles

2. BC = √((5-1)²+(2 -(-1))²) = √(16 + 9) = √25 = 5 miles

  • EA = BC = 5 miles

3. CD = √(13-2)² + (5-1)²) = √121 + 16 = √137 = 11.7 miles

  • DE = CD = 11.7 miles

Overall

  • 2 + 5*2 + 11.7*2 = 35.4 miles

The closest option is option B

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