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nadya68 [22]
2 years ago
6

7. Five swimmers entered a competition. Four of the swimmers had their turns. Their scores are 9.8, 9.75, 9.79 and 9.81 seconds

respectively. About what score should the fifth swimmer get in order to win the competition. Explain your answer.​
Mathematics
1 answer:
arsen [322]2 years ago
5 0

Answer:

We must order these decimals from least to greatest. Then we must determine how the least compares with the winning score.

9.80 -> 3

9.75 -> 1

9.79 -> 2

9.81 -> 4

The least decimal is 9.75. Now we must determine how 9.75 compare with the winning score.

The last swimmer must get a score less than 9.75 seconds in order to win.

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Sec s = 1.6948
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That'd be true only if the value of "s" is the exact same one for both
namely  if sec(s) = cos(s)
then solving for "s"
thus

\bf sec(s)=cos(s)\qquad but\implies sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\\\
thus\cfrac{1}{cos(s)}=cos(s)\implies 1=cos^2(s)\implies \pm \sqrt{1}=cos(s)
\\\\\\
\pm 1=cos(s)\impliedby \textit{now taking }cos^{-1}\textit{ to both sides}
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cos^{-1}(\pm 1)=cos^{-1}[cos(s)]\implies cos^{-1}(\pm 1)=\measuredangle s
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