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>
Step 1 :
(23 x 2 - 5) • x 3
Step 2 :
Trying to factor as a Difference of Squares :
Factoring: 8 x 2-5
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Answer:
(8 x 2 - 5) • x 3
Answer:
x = 24
Step-by-step explanation:
1/6 x + 3 = 7
1/6 x = 4
x = 24
It would be 60 because all you do is double the radius because it is only half of the circle
The answer is zero point four three
You could also write this answer as 0.43