Recent content by acen_gr

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    How do you reduce a 90% gold content into 75%

    The title says it all. Say you have 5 rings, each weighing 18 grams (10% alloy and 90% gold). If you would melt them all and add silver to make it 75% gold, 1) how much silver do you have to add? 2) Does melting 5 rings with 18grams each give 90 grams in total? 3) is this equation...
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    Distance/Rate/Time word problem

    let x = wind speed still air speed = 150 mph tailwind time = 2 1/3 hours tailwind speed = 150 + x headwind time = 3 1/2 hours headwind speed = 150 - x d = rt tailwind: d = (150 + x)(2 1/3) d = 100 + 2 1/3 x headwind: d = (150 - x)(3 1/2) d = 225 - 3 1/2 x d = d 100 + 2x/3...
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    Distance/Rate/Time word problem

    Homework Statement A Cessna 150 averages 150 mph in still air. With a tailwind it is able to make a trip in 2 1/3 hours. Because of the headwind, it is only able to make the return trip in 3 1/2 hours. What is the average wind speed? Homework Equations (1) If x = wind speed and y =...
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    Finding x in an inverse trigonometric equation

    You mean, you learned to solve anything because you have already encountered them? Or the opposite? So, I should have studied a lot in algebra, trigo and calculus?
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    Trigonometry Word Problem involving Inverse trigonometric functions

    Yes! I made it right. I just wonder if my understanding was right because I'm not from an English-based country so some phrasing are not clear to me. Thank you everyone! :biggrin:
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    Finding x in an inverse trigonometric equation

    Really? How come you seem to know a lot in math? Have you just memorized everything about math? EDIT: Wee I'm so encouraged to work hard in math...knowing that even a math student can also be as good as teachers, and sometimes BETTER. I wish I could be like you too. You're a student like me yet...
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    Trigonometry Word Problem involving Inverse trigonometric functions

    Ok sir so if my interpretation of the problem is right, then it would be right if I answer choice B right? Thank you! :smile:
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    Why Does arccos(x) - arcsin(1-x) Equal 90° Have No Solutions?

    I truly agree with you sir. That's why I rather choose to drop all my subjects and just study by myself here than to listen to him who even doesn't know what he's saying. He's making us fail in class by teaching us easy examples and giving out hard tests. Glad that I found this site where I can...
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    Trigonometry Word Problem involving Inverse trigonometric functions

    Homework Statement A ship is d feet from a dock (horizontal distance). The dock is 40 feet above sea level. The angle of depression from the dock to the ship is θ. Write θ as a function of d. Homework Equations This question is accompanied with choices. The choices are (A) θ = 40arctan(d) (B)...
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    Solution of Trigonometric Equations

    :smile: that should be this: Sorry about that. I labeled the green line first as y = 1 and accidentally labeled the second one y = 2. What a mess. So, the solution set is: x = {0°, 90°, 180°, 360°} Thank you so much sir! I had fun learning with you. You are good in teaching. I...
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    Solution of Trigonometric Equations

    How about this? I hope this one got it right:
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    Solution of Trigonometric Equations

    Oh yeah I forgot that I have to draw only 1 period. Apologies~ :-p Working on graph..
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    Solution of Trigonometric Equations

    Do you have any clue of the correct curve for sin x? because that's the only sinx graph that I know.
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    Solution of Trigonometric Equations

    Yeah, and also the point at 360. Sorry :shy: Based on the graph, the x values are 0°, 45°, 90°, 225°, 360°. Right?