If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route?

Answers

Answer 1

Answer:

36.16 miles

Step-by-step explanation:

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

Answer:

The distance between two points X([tex]x_1,y_1[/tex]) and Y[tex](x_2,y_2)[/tex] is given as:

[tex]|XY|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the image attached, the coordinates of the plane are:

A(-1, -1), B(1, -1), C(5, 2), D(0,  13), E(-5, 2).

The lengths are:

[tex]|AB|=\sqrt{(1-(-1))^2+(-1-(-1))^2}=2\ units\\ \\|BC|=\sqrt{(5-1)^2+(2-(-1))^2}=5\ units\\\\|CD|=\sqrt{(0-5)^2+(13-2)^2}=12.08\ units\\\\|DE|=\sqrt{(-5-0)^2+(2-13)^2}=12.08\ units\\\\|AE|=\sqrt{(-5-(-1))^2+(2-(-1))^2}=5\ units[/tex]

But 1 mile = 1 unit

Total distance = |AB| + |BC| + |CD| + |DE| + |AE| = 2 + 5 + 12.08 + 12.08 + 5 = 36.16 miles

If Each Unit On The Coordinate Plane Represents One Mile, What Is The Total Distance The Truck Travels

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Step-by-step explanation:

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Step-by-step explanation:

Step 1:

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Step 2:

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Answers

Answer:

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Step-by-step explanation:

Written with an equivalent number of decimal places, we are comparing ...

  6.10

  6.18

__

Use these rules for comparison of positive numbers:

1. If the left-most non-zero digits are in number places with different place values, the one with the digit in the highest place value is larger.

2. If the left-most non-zero digits are in number places with the same place value, the number with the larger digit is larger.

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__

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_____

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HELPPP!!!!
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Answers

Answer:

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Step-by-step explanation:

Simple explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Please show working

Answers

Answer:

Step-by-step explanation:

M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

M∪N; M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:

The members of M

The members of N

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Answer:

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Step-by-step explanation:

GivenM = {Prime integers between 1 and 11} and N = { factors of 12}To findM∪N M∩NSolution

Sets in full are

Prime numbers up to 11 ⇒ M = {2, 3, 5, 7, 11}Factors of 12 ⇒ N = {1, 2, 3, 4, 6, 12}

Combined set

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Common set

M∩N = {2, 3}

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Answers

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Answers

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Step-by-step explanation:

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