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highschoolmom2010

Find the value of each variable. If your answer is not an integer, express it in simplest radical form **check answer**

  • 8 months ago
  • 8 months ago

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  1. happytales
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    Um... missing something?

    • 8 months ago
  2. jdoe0001
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    should we get popcorn while you type in the variables?

    • 8 months ago
  3. highschoolmom2010
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    yall patience is a virtue

    • 8 months ago
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  4. jdoe0001
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    SOH CAH TOA

    • 8 months ago
  5. jdoe0001
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    sounds like the tune of a hawaiian song, but that's all you need http://www.mathwarehouse.com/trigonometry/images/sohcohtoa/sohcahtoa-all.png

    • 8 months ago
  6. jdoe0001
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    hmmm well, I see, you're using the 30-60-90 rule

    • 8 months ago
  7. jdoe0001
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    well, hmm, still the 30-60-90 rule wouldn't end up using the sine function anyhow I mean you're given an angle's value, 30 degrees so I gather you're expected to use sine and cosine for that

    • 8 months ago
  8. jdoe0001
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    otherwise, your answer will be in terms of "x" and "y"

    • 8 months ago
  9. jdoe0001
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    hmm maybe not ...

    • 8 months ago
  10. jdoe0001
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    in a 30-60-90 rule the smallest side, will half the longest that is "x" the smallest, is half 40 the longest and the OTHER side, is \(\bf \sqrt{3} \times \text{smallest side}\)

    • 8 months ago
  11. jdoe0001
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    |dw:1375644053298:dw|

    • 8 months ago
  12. jdoe0001
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    45-45-90 assumes you have 2 angles of 45 degrees you have there one of 30, and is a right triangle, so you have another of 90 and lastly one of 60

    • 8 months ago
  13. jdoe0001
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    but yes, for the 45-45-90 rule, 2 sides are equal and the longest is \(\bf \sqrt{2}\) of either side

    • 8 months ago
  14. jdoe0001
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    well, for that you'd need to use the \(\bf \sqrt{3}\) ratio for the longer side

    • 8 months ago
  15. jdoe0001
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    |dw:1375644727216:dw|

    • 8 months ago
  16. jdoe0001
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    http://upload.wikimedia.org/wikipedia/commons/4/45/30-60-90_triangle.jpg

    • 8 months ago
  17. jdoe0001
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    those are the ratio relationships on a triangle with 30-60-90 angles if I were to stand up yours, it'd look like |dw:1375645193671:dw|

    • 8 months ago
  18. jdoe0001
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    so, what part confuses? in a 30-60-90 rule, each side have a ratio relationship, as shown above

    • 8 months ago
  19. jdoe0001
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    ok

    • 8 months ago
  20. jdoe0001
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    so you want to know what "x" is in the triangle notice that the triangle has a hypotenuse of 40 and 2 angles, a 30 degrees one and a 90 degrees one the other internal angle has to be a 60 degrees one so that makes it a 30-60-90 triangle, whose side relationships are well known

    • 8 months ago
  21. highschoolmom2010
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    i reposted it that way we wouldnt have all the ^^ in the way

    • 8 months ago
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