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Nitella [24]
3 years ago
14

Factor completely x3 - y3

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

(x-y)(x^2+xy+y^2)

Step-by-step explanation:

x^3 - y^3=(x-y)(x^2+xy+y^2)

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The captain of a boat knows that a lighthouse on the coast is 100 ft
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Answer:

Height of the light house =7.5\ feet

Step-by-step explanation:

Distance of light house from boat = 100 ft

Angle of elevation from boat to the top of light house = 2°

Height above water while taking measurement = 4 ft

The figure of the situation is shown below.

For Δ ABC

\tan2\°=\frac {AB}{BC}

\tan2\°=\frac {AB}{100}

0.035=\frac {AB}{100}

Multiplying both sides by 100.

100\times 0.035=100\times\frac {AB}{100}

3.5=AB

∴ AB=3.5

Height of the light house =3.5+4=7.5\ feet

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