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Sergeu [11.5K]
3 years ago
11

How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat

e the area covered by the beam from the lighthouse."
Mathematics
1 answer:
kifflom [539]3 years ago
3 0
The whole circle has 360 degrees

You just need to count the area of circle with radius of 8 km and then multiple it by the fraction 35 over 360.
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Find the slope of the points: (-5,10)(-3,0)(0,1)(4,-4)
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Answer:

figure it out

Step-by-step explanation:

Pick two point and do 10-0 over -5+3 and you get your slope

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2 years ago
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Calculate the volume of each diagrams.
wariber [46]

The volume of the solid objects are 612π in³ and 1566πcm³

<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

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Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

Learn more on volume of composite figures here: brainly.com/question/1205683

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8 0
2 years ago
A bag contain 3 white balls, 4 blue balls and 2 red balls. Two balls are to be taken at random from the bag. The first ball is n
Liono4ka [1.6K]

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a)the first ball taken will be blue

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3 years ago
the consumer price index compares the cost of goods and services over various years, where 1967 is used as t=0. The same goods t
Lisa [10]

Answer:

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Step-by-step explanation:

(a) The given numbers can be put directly into the form ...

... f(t) = (initial value) · (ratio)^(t/(time to achieve that ratio))

Here, we have an intial value of $100, and a ratio of $184.50/$100 = 1.845. The time to achieve that multiplication is 10 years (1967 to 1977). So, the equation can be written ...

... f(t) = 100·1.845^(t/10)

(b) You want to find f(38).

... f(38) = 100·1.845^(38/10) = 100·1.845^3.8 ≈ 1025.15 . . . dollars

6 0
3 years ago
You can
nika2105 [10]

Answer: a

Step-by-step explanation:

8 0
2 years ago
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