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:
3, 8
Step-by-step explanation:
Answer:
Step-by-step explanation:
lag is Determine the flag's wlag is Determine the flag's wlag is Determine the flag's w this mena that the wiatgh
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
<em />
<em>collect similar terms together</em>
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(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
Learn more about simplification of algebraic expression here: brainly.com/question/8956927
