Wesley sailed his boat due north for 18 miles, then due east for another 18 miles, approximately how far is Wesley from where he
began?
2 answers:
Wesley is approximately 25 miles away from the place he started.
Say, Wesley started from point A, he rowed his boat in north direction, covered 18 miles and stopped at B. From B, he again rowed 18 miles towards east. Finally, he stopped at position C.
From Pythagoras theorem, we can find, AC.
AC² = AB² + BC²
⇒ AC² = 18² + 18²
⇒ AC² = 2×18²
⇒ AC = √2×18 ≈ 25 miles.
Say, Wesley started from point A, he rowed his boat in north direction, covered 18 miles and stopped at B. From B, he again rowed 18 miles towards east. Finally, he stopped at position C.
From Pythagoras theorem, we can find, AC.
AC² = AB² + BC²
⇒ AC² = 18² + 18²
⇒ AC² = 2×18²
⇒ AC = √2×18 ≈ 25 miles.
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previous one by a fixed, non-zero number called the common ratio.
</span>The common ration is obtained by dividing the a term by the preceding term.
Given that f<span>our students wrote sequences during math class with
Andre writing
Brenda writing </span>
Camille writing
Doug writing
Notice that the common ratio for the four students is
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For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of.
Therefore, Doug wrote a geometric sequence.
</span>The common ration is obtained by dividing the a term by the preceding term.
Given that f<span>our students wrote sequences during math class with
Andre writing
Brenda writing </span>
Camille writing
Doug writing
Notice that the common ratio for the four students is
For Andre, the last term is wrong and hence his sequence is not a geometric sequence.
For Brenda, the last term is wrong and hence her sequence is not a geometric sequence.
For Camille, her sequence is not a geometric sequence.
For Doug, his sequence is a geometric sequence with a common ratio of
Therefore, Doug wrote a geometric sequence.