Find the slope of the line that contains the points (-4, -1) and (-4,-2).
1 answer:
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We know that the price of all the fabrics is the same. However, the length of the fabrics is different. We have to determine which fabric is the longest.
Option A: = 8.6
Option B: = 8.25
Option C: = 8.6667
Option D: = 7.33....
Hence, the longest fabric is the one given in option C, and its length is 8.6667
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>
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Therefore, the angle between their paths is <em>100.8°</em>
