Mrs. Hall bought a package of 8 pencils for $4.64. What is the unit price per pencil?
2 answers:
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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>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
Step-by-step explanation:
1. By definition, an even number is that number that can be divided by two.
2. Therefore, keeping this definition on mind, if you have an even number , the next consecutive even integer after it can be obtained by adding 2.
3. Then, you can conclude the expression that represents the first consecutive even integer after is: