You order the sausage and eggs breakfast, and your friend orders the ham omelet. How much is the bill before the taxes and tip?
2 answers:
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Let
x--------> the time in hours
y-------> the distance in miles
we know that
The speed is equal to
in this problem
<u>Equation First Train</u>
<u>Equation Second Train</u>
---------> equation
Substitute the values of and
in the equation
Solve for x
therefore
<u>the answer is</u>
Answer:
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
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>
