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natka813 [3]
3 years ago
14

Please help asap. will give brainliest to first answer.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0

Answer:

it is the 3rd one :)

Step-by-step explanation:

i had that exact same question im pretty sure :o

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BARSIC [14]

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Step-by-step explanation:

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Find the obtuse angle between the following pair of straight lines.
ioda

Given:

y=-2

y=\sqrt{3}x-1

To find:

The obtuse angle between the given pair of straight lines.

Solution:

The slope intercept form of a line is

y=mx+b     ...(i)

where, m is slope and b is y-intercept.

The given equations are

y=0x-2

y=\sqrt{3}x-1

On comparing these equations with (i), we get

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Angle between two lines whose slopes are m_1\text{ and }m_2 is

\tan \theta=\left|\dfrac{m_2-m_1}{1+m_1m_2}\right|

Putting m_1=0 and m_2=\sqrt{3}, we get

\tan \theta=\left|\dfrac{\sqrt{3}-0}{1+(0)(\sqrt{3})}\right|

\tan \theta=\left|\dfrac{\sqrt{3}}{1+0}\right|

\tan \theta=\pm \sqrt{3}

Now,

\tan \theta= \sqrt{3} and \tan \theta=-\sqrt{3}

\tan \theta= \tan 60^\circ and \tan \theta=\tan (180^\circ-60^\circ)

\theta= 60^\circ and \theta=120^\circ

120>90, so it is an obtuse angle and 60, so it is an acute angle.

Therefore, the obtuse angle between the given pair of straight lines is 120°.

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3 years ago
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Answer:

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Step-by-step explanation:

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Suppose that a Navy submarine is submerged 500 feet below sea level.
grin007 [14]

Answer:

B) A and D

Step-by-step explanation:

Below sea level already implies negative.

And on a number line, it should be -500

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4 years ago
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