anonymous
  • anonymous
Solve for x. Round your answer to two decimal places. Show work on how to get the answer please!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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DebbieG
  • DebbieG
So, you know an angle measure, the opposite side from that angle, and the hypotenuse. What trig function relates those 3 parts?
anonymous
  • anonymous
\[\sin 39 = \frac{ 9 }{ x } \to x= \frac{ 9 }{ \sin39 }\]

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anonymous
  • anonymous
and sin39 :
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anonymous
  • anonymous
x = 14.51
anonymous
  • anonymous
is that the answer rounded two decimal places?
anonymous
  • anonymous
do you have MC ? yes,sin 39 = 0.62 and 9/0.62 = 14.51
DebbieG
  • DebbieG
That's not quite the right answer. You shouldn't round in the intermediate steps.
anonymous
  • anonymous
then what should i do?
DebbieG
  • DebbieG
Well, first of all, you should HELP HER LEARN HOW to do the problem. Not do the whole thing for her. I was trying to do that. But do get the answer with accuracy to 2 dec places, simply evaluate: \(\Large \frac{ 9 }{ \sin39 }\) You'll notice that the answer is slightly different (in the decimal part) than what you get, when you first round the sine value and use THAT in the computation.
DebbieG
  • DebbieG
In other words, don't evaluate the sine first and round THAT, and then put THAT back into the computation. Use "sin(39)" (or if you must do it 2 steps, then carry some extra decimal places in the intermediate step).
anonymous
  • anonymous
so it should be 14.30114156159175 ?
DebbieG
  • DebbieG
Also, you rounded the wrong way, compounding the error. sin(39*)=0.629320... which rounds to 0.63, not 0.62. But like I said, no good reason to round at all in the intermediate step.
DebbieG
  • DebbieG
Yes, rounded to 2 places. But again, do you understand WHY? how to get that answer?
DebbieG
  • DebbieG
Do you want to try one more, just to make sure? :) |dw:1378556077340:dw|
anonymous
  • anonymous
This is just a practice problem, its not for a test or anything. And yes im starting to understand,
anonymous
  • anonymous
No, its fine, im going to try some on my own now. But what is the answer rounded two decimals? im kind of confused on what you said about rounding
DebbieG
  • DebbieG
Just look at the 3rd decimal place. If that number is less than 5, leave the 2nd decimal place as-is. If it's 5 or greater, round the 2nd spot up. Some examples, each rounded to 2 dec places: 2.534 rounds to 2.53 8.309 rounds to 8.31 3.497 rounds to 3.50 2.902 rounds to 2.90
anonymous
  • anonymous
so 14.30?
DebbieG
  • DebbieG
Yup. :)
anonymous
  • anonymous
Thank you both so much again!
anonymous
  • anonymous
and this example is very good to learn: 7.455 rounds to 7.46 @DebbieG , Thank you so much :)

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