If x-12√x + 36 = 0 what is the value of x A. 6 B. 6^2 C. 6^3 D. 6^4
1 answer:
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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:
Given:
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1st problem:
Distribute:
Combine like terms:
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2nd problem:
Distribute -3 to first factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
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3rd problem:
Distribute 2 to the second factor:
Use foil to simplify:
Replace with -1:
Combine like terms:
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4th problem:
Distribute:
Combine like terms:
Simplify: