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seropon [69]
3 years ago
13

A dog has a leash on that is 4 meters long. What is the total area of the space where the dog can travel?

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
There is no limit to the area that the dog can access and explore. It can go anywhere it wants to, and simply drag the leash behind. My dogs do it all the time. Now if you were to fasten the free end if the leash to a stake in the ground, then the situation would be a completely different one. Then the dog would be restricted to the circle centered at the stake with radius=4 meters. The area of such a circle is 16 pi square meters.
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Write three equations whose solution is x=3.5
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Answer:

  • 1. 2x + 23 = 30
  • 2. 3x + 19.5 = 30
  • 3. (10x - 20)/ 5 = 3

Explanation:

Work backward:

1. 2x + 23 = 30

Start:

  • x = 3.5

Multiply the equation by 2:

  • 2x = 2 (3.5)
  • 2x = 7

Subtract 30 from both sides

  • 2x - 30 = 7 - 30
  • 2x - 30 = -23

Add 23 and 30 to both sides:

  • 2x + 23 = 30

2. 3x + 19.5 = 30

Start:

  • x = 3.5

Add 6.5 to both sides:

  • x + 6.5 = 10

Multiply by 3:

  • 3(x + 6.5) = 30

Distributive property:

  • 3x + 19.5 = 30

3. (10x - 20)/ 5 = 3

Start:

  • x=3.5

Multiply by 10:

  • 10x = 35

Subtract 20:

  • 10x - 20 = 15

Divide by 5:

  • (10x - 20)/ 5 = 15/5

  • (10x - 20) / 5 = 3
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3 years ago
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