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Sagot :

The distance between two points is the number of units between them

The distance between the oak tree and the maple tree is 9 yards

How to determine the distance?

From the diagram, we have the following highlights:

  • The distance between the maple tree and the end is [tex]28\frac 26[/tex] yards
  • The distance between the oak tree and the end is [tex]11\frac 36 + 7\frac 56[/tex] yards

The distance (d) between the oak tree and the maple tree is the difference between the above measurements.

So, we have:

[tex]d = 28\frac 26 - (11\frac 36 + 7\frac 56)[/tex]

Simplify the expression in the bracket

[tex]d = 28\frac 26 - (19\frac 26)[/tex]

Subtract

[tex]d = 9[/tex]

Hence, the distance between the oak tree and the maple tree is 9 yards

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The distance between the maple tree and the oak tree is 9 yards

The distance between the maple tree and the end is 28 2 / 6 yards(170 / 6)

The distance between the oak tree to the end is the sum of  oak to pine and pine to the end. Therefore,

  • 11 3 / 6 + 7 5 / 6
  • 69 / 6 + 47 / 6 = 69 + 47 / 6 = 116 / 6 = 58 / 3 yards

Therefore, the distance between the maple tree and the oak tree is as follows;

Difference:

Difference is the subtraction of one number from another. Therefore, the distance between the maple tree and the oak tree is the difference between the maple tree to the end and the sum of  oak to pine and pine to the end.

  • 170 / 6 - 58 / 3 = 170 - 116/ 6 = 54 / 6  = 18 / 2 = 9 yards

Therefore,  the distance between the maple tree and the oak tree is 9 yards

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