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Degger [83]
3 years ago
15

this is kinda confusing but it says “if 1 cm represents 2 meters, how long would each measurement be on an actual basketball cou

rt?”

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0

Answer:

  • 28 m
  • 15 m
  • 24.8 m
  • 1.0 m

Step-by-step explanation:

The given statement is the scale factor:

  \dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}

This can be rearranged to the formula ...

  \text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}

Filling in the given scale distances, you find the actual distances to be ...

  \textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\

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