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Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
<em></em>
Therefore, the angle between their paths is <em>100.8°</em>
Based on the hints of distinguishing between <em>radical</em> and <em>non-radical</em> numbers, we have the following lists:
,
, 2.5,
- 3.01,
,
,
, - 4.1, 4.01,
- - 2.5,
,
, 2.5
<h3>How to order numbers from least to greatest</h3>
In this question we must order sets of numbers in ascending order. A hint consists in comparing <em>non-radical</em> numbers with the <em>closest</em> <em>radical</em> numbers whose results are integers.
In consequence, we obtain the following orders:
- 3.01,
- - 2.5,
To learn more on sets: brainly.com/question/18877138
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