Austin is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Sup
1 answer:
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Answer:
B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.
Step-by-step explanation:
Given
Phrase 1: 6 less a number y
Phrase 2: 6 less than a number y
<em>Mathematically,</em>
Phrase 1 can be represented as follows;
<em>Mathematically,</em>
Phrase 2 can be represented as follows;
<em>Since the representation of both phrases are the same, then option B answers the question.</em>
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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>
