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3 years ago

Joseph's flock has 55%

Mathematics

1 answer:

Mkey [24]3 years ago

7 0

Answer:

20 : 31

Step-by-step explanation:

If one calls the number of goats in the given situation (x), then one can model the situation. Since the number of sheep is 55% more than the number of goats, then one can say that the number of goats times (1.55) is equal to the number of sheep.

goats : sheep

x : 1.55x

Simplify, divide by (x)

1 : 1.55

Multiply by (100) to make both numbers whole numbers,

100 : 155

Simplify, divide by (5)

20 : 31

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Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

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$\sin(θ) = \frac{4}{5}$

$θ = {\sin( \frac{4}{5} ) }^{ - 1}$

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$\cos(36.9 ) = \frac{5}{CD}$

$CD \cos(36.9) = 5$

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