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LiRa [457]
3 years 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:
mr_godi [17]3 years ago
5 0

Answer:

41

Step-by-step explanation:

LekaFEV [45]3 years ago
5 0

Answer:

  • B. 38

Step-by-step explanation:

  • <em>Use Pythagorean theorem to find line lengths</em>

<u>We see the figure formed by the route is symmetric and</u>

  • BC = EA
  • CD= DE

The total distance is the perimeter of the polygon

1. AB is horizontal line, 2 units long (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

<u>Total</u>

  • 2 + 5*2 + 11.7*2 = 35.4 miles

Close option is option B

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6 0
3 years ago
Emery bought 3 cans of beans that had a total weight of 2.4 pounds. If each can of beans weighed the same amount, which model co
andreev551 [17]

Answer:

  • y=0.8x
  • See Explanation for others

Step-by-step explanation:

The 3 cans of beans had a total weight of 2.4 Pounds

Therefore:

  • 1 can of beans = (2.4 ÷ 3) =0.8 Pounds

The following applies from the options.

  • y=0.8x where y is the weight and x is the number of cans.
  • A 2-column table with 3 rows. Column 1 is labeled number of cans with entries 5, 15, 20. Column 2 is labeled total weight (in pounds) with entries 4, 12, 16.

Using y=0.8x

When x=5, y=0.8 X 5=4

When x=15, y=0.8 X 15=12

When x=20, y=0.8 X 20=16

\left|\begin{array}{c|c}\text{Number of Cans,x}&\text{Total Weight (in Pounds),y}\\-------&--------\\5&4\\15&12\\20&16\end{array}\right|

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