Hi anyone know the answer to this? Ill give brainliest :(
1 answer:
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Answer:
Step-by-step explanation:
Circumference = C = 31.4 ft
We know that,
<h3>C = 2πr</h3>Where, r is the radius
31.4 = 2(3.14)r
31.4 = 6.28(r)
Divide 6.28 to both sides
31.4/6.28 = r
5 ft. = r
<h3>r = 5 ft.</h3>Now,
<h3><u>Finding area:</u></h3>A = πr²
A = (3.14)(5)²
A = (3.14)(25)
<h3>A = 78.5 ft²</h3>
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>
