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Anestetic [448]
1 year ago
10

2.4m log is cut into lengths into the ratio 7 : 5. Find the longer length in cm.

Mathematics
1 answer:
sergeinik [125]1 year ago
7 0

Answer:

140 centimeters.

Step-by-step explanation:

Hello!

A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.

Find the longer length:

  • 2.4 into 7:5
  • 2.4 = 7x + 5x
  • 2.4 = 12x
  • x = 2.4/12
  • x = 0.2

Now, we must find the longer length, 7x.

  • 7x
  • 7(0.2)
  • 1.4

The longer length is 1.4 meters, but we want it in cm.

There are 100 centimeters in a meter.

  • 1.4 meters = 1.4 * 100
  • 1.4 meters = 140 centimeters

The longer length is 140 centimeters.

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The segment addition theorem would be used to solve the problems as shown below:

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brainly.com/question/28263183

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