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andreyandreev [35.5K]
3 years ago
5

The light from the Cape Florida Lighthouse in Key Biscayne is visible for a distance of 15 mi. If the beam of light sweeps in an

arc of 270°, what is the area covered by the beam?

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

Area covered by beam = 530 mi² (Approx.)

Step-by-step explanation:

Given:

Radius = 15 mi

Arc angle = 270°

Find:

Area covered by beam

Computation:

Area of sector = [θ/360][π][r²]

Area covered by beam = [270/360][22/7][15²]

Area covered by beam = [0.75][3.1428][225]

Area covered by beam = 530 mi² (Approx.)

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Vanyuwa [196]

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6 0
3 years ago
Which of the following is an equation of the line that crosses through (-3,4) and (3,6)?
Mama L [17]

Answer:

y=(1/3)x+5

Step-by-step explanation:

Slope-intercept: y=mx+b

m=((y2-y1)/(x2-x1)) = (6-4)/(3+3)= 2/6= (1/3)

y=(1/3)x+b

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3 years ago
In the trapezoid ABCD ( AB ∥ CD ) point M∈ AD , so that AM:MD=3:5. Line l ∥ AB and going trough point M intersects diagonal AC a
geniusboy [140]

Answer:

BC:BN=8:3

Step-by-step explanation:

ABCD is a trapezoid and there is a point m which belongs to AD such that AM:MD=3:5.Line "l" parallel to AB intersects the diagonal AC at p and BD at N.

Now, we know that the parallel lines divide the transversal into the segments with equal ratio, therefore, BN:NC=AM:MD

But, BC= BN+NC

Therefore, BC:BN=(BN+NC):BN

⇒BC:BN=(3+5):3

⇒BC:BN=8:3


4 0
3 years ago
Can somebody help me please I need help
V125BC [204]
What do you need help with?
7 0
4 years ago
What is the domain of y= √x-5-1
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3 years ago
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