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chubhunter [2.5K]
2 years ago
12

One day, a sprinter runs the 100 m dash 24 times, for a total distance of 24 00 m. how many kilometers did the sprinter run?

Mathematics
1 answer:
tigry1 [53]2 years ago
4 0

The total distance that was covered by the sprinter in Kilometers is:

  • 2.4 Km

<h3>How much is the total distance covered?</h3>

To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.

Thus we will have:

2400 Meters * 1 km / 1000 meters

= 2.4 km

So, the total distance covered by the sprinter in kilometers is 2.4

Learn more about meter conversions here:

brainly.com/question/26259781

#SPJ4

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Answer:

<h2>\frac{63}{2}</h2>

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Which equation has the solutions x = -3 ± √3i/2 ?
Maurinko [17]

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Note:  None of options matches with given question.

instead of "-3" , there should be "-\frac{3}{2}".

Step-by-step explanation:

Note:  None of options matches with given question.

instead of "-3" , there should be "\frac{3}{2}".  

Here, First thing you have to observe the nature of roots.

∴ x = -\frac{3}{2}+\frac{\sqrt{3}}{2}i and x = -\frac{3}{2}-\frac{\sqrt{3}}{2}

∴ [ x+(\frac{3}{2}-\frac{\sqrt{3}}{2}i) ][ x+(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ]=0

∴ [ x^{2} + x(\frac{3}{2}+\frac{\sqrt{3}}{2}i)+ x(\frac{3}{2}-\frac{\sqrt{3}}{2}i) + (\frac{3}{2}-\frac{\sqrt{3}}{2}i)(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ]=0

∴ [x^{2} + \frac{3}{2}x + \frac{\sqrt{3}}{2}ix + \frac{3}{2}x - \frac{\sqrt{3}}{2}ix + (3-\frac{\sqrt{3}}{2}i)(3+\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + (\frac{3}{2}-\frac{\sqrt{3}}{2}i)(\frac{3}{2}+\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + \frac{9}{4} - (\frac{\sqrt{3}}{2}i)(\frac{\sqrt{3}}{2}i) ] =0

∴ [x^{2} + 3x + \frac{9}{4} - (\frac{3}{4}) i^{2} ] =0

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Thus, Answer is option C : <em>[x^{2} + 3x + 3 ] =0  </em>

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