Natural, Whole, and Integers. Hopefully I helped :)
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>
Answer:
Step-by-step explanation:
Total outcomes
Favorable outcomes
Probability
- P( < 3) = favorable outcomes / total outcomes = 2/6 = 1/3
Answer: 1/3
Step-by-step explanation: Since there are six sides to a number cube, the total number of outcomes will be 6.
Since there are 2 favorable outcomes, rolling a 1 or a 6,
the probability of rolling a 1 or a 6 is 2/6 which reduces to 1/3.