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IgorC [24]
3 years ago
6

What are the coordinates of the orthocenter of LMN ?

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.

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2 years ago
Two ships leave a harbor together, traveling on courses that have an angle of 135°40' between them. If they each travel 402 mile
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Answer:

Therefore they are 734.106 miles apart.

Step-by-step explanation:

Given that ,

Two ships have a harbor together. The angle between two ships  is  135°40'. Each of two ships travel 402 miles.

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Let ∠B= 135°40', and AB = 402 miles , BC =  402 miles

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The sum of all angles = 180°

⇒∠A+∠B+∠C=180°

⇒∠A+135°40'+∠C=180°

⇒2∠A= 180°- 135°40'      [ since ∠A=∠C]

⇒2∠A=44°60'

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Again we know that,

\frac{AB}{sin\angle C}=\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Taking last two ratio,

\frac{BC}{sin \angle A}=\frac{AC}{sin \angle B}

Putting the value of BC , AC ,∠A,∠B

\frac{402}{sin 22^\circ30'}=\frac{AC}{sin 135^\circ40'}

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Therefore they are 734.106 miles apart.

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