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Aleksandr [31]
3 years ago
12

A laptop has a listed price of $667.95 before tax. If the sales tax rate is 7.75%, find the total cost of the laptop with sales

tax included.
Round your answer to the nearest cent, as necessary.
Mathematics
1 answer:
Eva8 [605]3 years ago
4 0

Answer:

$719.72

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)

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The given equations are

y=0x-2

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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|

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\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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Step-by-step explanation:

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