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3 years ago

...Ratio is 1:6:8; amount to be shared is 52,500.00

Mathematics

1 answer:

irina1246 [14]3 years ago

3 0

Answer:

let the amount be x,6x and 8x

x+6x+8x=52500.00

15x=52500.00

x=3500

now,

x=3500

6x=21000

8x=28000

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3 years ago

The population of bald eagles is decreasing 4% each year. In 2015, there were 2800 bald eagles.

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Using the principle of binomial probability, the probability of having exactly two black cards is 0.3125

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2 years ago

As a ship approaches the dock, it forms a 70 angle between the dock and the lighthouse. At the lighthouse, an 80 angle is formed

Trava [24]

Answer:

The distance from the ship to the dock is approximately 5.24 miles

Step-by-step explanation:

From the parameters given in the question, we have;

The angle formed between the dock and the lighthouse = 70°

The angle formed between the dock and the lighthouse at the ship = 80°

The distance between dock and the lighthouse = 5 miles (From a similar question online)

By sine rule, we have;

$\dfrac{a}{sin(A)} = \dfrac{b}{sin(B)} = \dfrac{c}{sin(C)}$

Therefore, we have;

$\dfrac{5}{sin(70^{\circ})} = \dfrac{The \ distance \ from \ the \ ship \ to \ the \ dock}{sin(80^{\circ})}$

$\therefore The \ distance \ from \ the \ ship \ to \ the \ dock = sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})}$

$sin(80^{\circ}) \times \dfrac{5}{sin(70^{\circ})} \approx 5.24 \ mi$

Therefore;

The distance from the ship to the dock ≈ 5.24 miles

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