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3 years ago

Find the coordinates of point p , that lies 2/3 of the way on the directed line segment ab where A ( -2,5) , B (4,9)

Mathematics

1 answer:

OleMash [197]3 years ago

6 0

Answer:

(1,7)

Step-by-step explanation:

first find the slope

9-5/4-(-2)=4/6=2/3

5+2=7

-2+3=1

=(1,7)

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A submarine was traveling along the surface of the ocean and decides to dive. If the dive angle is 28° with the horizontal surfa

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Answer:

1.5 nautical miles

Step-by-step explanation:

See the attached diagram.

The submarine starts to dive at point A and diving along AB.

If the distance traveled underwater i.e. AB = 1.7 Nautical miles and C is the point directly above its current position at B.

Then Δ ABC is a right triangle having ∠ BAC = 28° {Given}

So, using trigonometry we can write

$\cos 28 = \frac{AC}{AB} = \frac{AC}{1.7}$

⇒ $AC = 1.7 \times \cos 28 = 1.5$ nautical miles.

Therefore, the surface distance that the submarine travels is 1.5 nautical miles. (Answer)

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