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erastovalidia [21]
2 years ago
6

The distance from the campsite to the lake is 0.6 of the distance from the campsite to the hiking trails. The distance from the

campsite to the hiking trails is 1.4 kilometers. what is the distance from the campsite to the lake?
Mathematics
1 answer:
Blababa [14]2 years ago
4 0

Answer:

The distance from the campsite to the lake is 0.84 kilometers

Step-by-step explanation:

The question is in the form of a 'word problem' that relates to multiplication with fractions

The given parameters are;

The distance from the campsite to the lake = 0.6 × The distance from the campsite to the hiking trails

The distance from the camp site to the hiking trails = 1.4 kilometers

∴ The distance from the campsite to the lake = 0.6 × 1.4 kilometers = 0.84 kilometers

The distance from the campsite to the lake = 0.84 kilometers.

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Rationalise the denominator.
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Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

(5 -\sqrt{2})

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Reminder :

(a + b)(a - b) =  {a}^{2} -  {b}^{2}  \\

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So we have :

\frac{1}{ 5-\sqrt{2} } \times  \frac{ 5+\sqrt{2}  }{ 5 +\sqrt{2}  } =  \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2})  } =  \\

The other is in the photo.

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And we're done.

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