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# Recent problems solved by 'Alan3354'

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 Geometry_Word_Problems/452464: please calculate/solve for a right (90°) triangle when the vertical leg is 4" and hypotenuse is at a 30 degree angle (330°). what is the length of the base in inches? what is the length of the hypotenuse in inches? IE. if the vert Leg 4" and the hypotenuse is at 45° than the horz. leg is 4" and the hypotenuse is 5.66" but this makes a different right triangle and this one is easy for me. I know I should have listened better 38 years ago! In the future how can I figure this myself? Thanks you in advance, Arye P Rubenstein aprarye@ameritech.net1 solutions Answer 311062 by Alan3354(30993)   on 2011-05-22 09:58:35 (Show Source): You can put this solution on YOUR website!please calculate/solve for a right (90°) triangle when the vertical leg is 4" and hypotenuse is at a 30 degree angle (330°). what is the length of the base in inches? what is the length of the hypotenuse in inches? sin(30) = 1/2 --> sin(30) = 4/hyp = 1/2 hyp = 8 inch if I interpreted it right. -------------- IE. if the vert Leg 4" and the hypotenuse is at 45° than the horz. leg is 4" and the hypotenuse is 5.66" -------------------- Using the same method: sin(45) =~ 0.70711 hyp = 4/0.70711 =~ 5.66 -------------- but this makes a different right triangle and this one is easy for me. I know I should have listened better 38 years ago! In the future how can I figure this myself? ----------
 logarithm/452503: what is the value of (2)1\17 1 solutions Answer 311061 by Alan3354(30993)   on 2011-05-22 09:52:25 (Show Source): You can put this solution on YOUR website!I don't know what that means.
 Travel_Word_Problems/452506: what would my speed be in MPH if I had to travel 1200 feet in 2 minutes and 20 seconds?1 solutions Answer 311051 by Alan3354(30993)   on 2011-05-22 08:57:55 (Show Source): You can put this solution on YOUR website!1/2 as fast as the one I just did
 Travel_Word_Problems/452507: what would my speed be in MPH if I had to travel 2400 feet in 2 minutes and 20 seconds?1 solutions Answer 311050 by Alan3354(30993)   on 2011-05-22 08:56:52 (Show Source): You can put this solution on YOUR website!r = 2400/140 ft/sec = 120/7 ft/sec 22 ft/sec = 15 mph (from memory, but you can confirm it) r in mph = (120/7)*15/22 = 1800/154 mph r = 900/77 mph r =~ 11.688 mph
 logarithm/452416: 1 solutions Answer 311049 by Alan3354(30993)   on 2011-05-22 08:52:46 (Show Source): You can put this solution on YOUR website!x*log(5) = -3x*log(10) x*log(5) + 3x*log(10) = 0 x*log(5) + 3x = 0 x(log(5) + 3) = 0 x = 0
 Problems-with-consecutive-odd-even-integers/452484: Find two consecutive negative integers whose product is 90 -thanks1 solutions Answer 311048 by Alan3354(30993)   on 2011-05-22 08:46:04 (Show Source): You can put this solution on YOUR website!The square root of 90 is apx 9.5, the center --> -10 and -9.
 Exponents/452387: I am so confused, how would this problem be solved? (x^2)(3x^5)^3(9x^2 ______ 3x) I don't know how to type a fraction bar, sorry about that but there are 3 pairs of parentheses if it helps it's x squared times 3x to the power of five raised to the power of 3 and 9x squared over 3x I'm in algebra 1 so please explain it slowly I got 87x^18 but I'm not so sure. Please help, thank you!1 solutions Answer 311009 by Alan3354(30993)   on 2011-05-21 21:51:21 (Show Source): You can put this solution on YOUR website! = = =
 Equations/452389: My grandaughter came home with six of these math problems (6th grade).... Using the numbers (2,3,4,5,7,8,9) fill in the blanks. _*_-_/_+_*_/_=3 Using brute force it took me (and four other ADULTS) several hours to answer all 6 questions.... Am I missing something here?? Is there some technique I am missing?1 solutions Answer 311007 by Alan3354(30993)   on 2011-05-21 21:45:49 (Show Source): You can put this solution on YOUR website!Trial and error is the only way. The only possible use for such problems is ... not sure what. I don't see the point or the purpose of problems like this.
 Equations/452437: I cannot figure out where I am going wrong on this problem. I distributed solving the parentheses first, but no matter what I do, I keep getting this problem wrong. 3x+2[1-3(x+2)]=2x This is my work.. 3x+2[1-3(x+2)]=2x 3x+2[1-3x-6]=2x 3x+2-6x-12=2x I get x= -10. Could you tell me where I am going wrong? I thought you needed to do inside the parentheses first, then inside the brackets. Thank you in advance.1 solutions Answer 310995 by Alan3354(30993)   on 2011-05-21 20:11:13 (Show Source): You can put this solution on YOUR website!I cannot figure out where I am going wrong on this problem. I distributed solving the parentheses first, but no matter what I do, I keep getting this problem wrong. 3x+2[1-3(x+2)]=2x This is my work.. 3x+2[1-3(x+2)]=2x 3x+2[1-3x-6]=2x 3x+2-6x-12=2x --------------- -3x -10 = 2x I get x= -10. --------------- 3x+2[1-3(x+2)]=2x 2[1-3(x+2)] = -x 2 - 3(x+2) = -x - 3(x+2) = -x-2 3(x+2) = x+2 3x+6 = x+2 2x+4 = 0 x = -2
 Exponents/452368: How do you solve this equation? (-2x^3y)^6 If the exponent is on the outside of the parentheses do you multiply it by the exponents inside the parenthesis or add them? Btw it's 2x cubed not 3y. Please help, and thank you!1 solutions Answer 310976 by Alan3354(30993)   on 2011-05-21 16:23:17 (Show Source): You can put this solution on YOUR website!How do you solve this equation? (-2x^3y)^6 ------------ 1st, it's not an equation. I can tell, there's no equal sign. (-2x^3 y)^6 Each factor is raised to the 6th power. = ---------------- If the exponent is on the outside of the parentheses do you multiply it by the exponents inside the parenthesis or add them? When it's raised to a power, you multiply them. ----------- eg
 Trigonometry-basics/452370: a particle moving with speed v hits a barrier at an angle of 60° and bounces off at an angle of 60° in the opposite direction with a speed reduced by 20% find the velocity of the vector of the the object after the impact1 solutions Answer 310975 by Alan3354(30993)   on 2011-05-21 16:11:30 (Show Source): You can put this solution on YOUR website!It's 0.8v if takes as a scalar amount. ----------- You ask for the "velocity of the vector", tho, not the velocity of the particle ??? No direction info was given. Confusing problem.
 Probability-and-statistics/452346: http://i1142.photobucket.com/albums/n608/nancylam67/chapter10testB.jpg I need help number 6 only,Thank you for spend time my home work1 solutions Answer 310962 by Alan3354(30993)   on 2011-05-21 14:18:41 (Show Source): You can put this solution on YOUR website!It's 180 - 136 = 44 degrees
 Trigonometry-basics/452156: how do i find x? log[13](3x+9)-log[13](3)=log[13](12)1 solutions Answer 310945 by Alan3354(30993)   on 2011-05-21 11:40:45 (Show Source): You can put this solution on YOUR website!log[13](3x+9)-log[13](3)=log[13](12) log(3x+9) - log(3) = log(12) All bases are the same, so it doesn't matter. Subtracting logs --> division log( (3x+ 9)/3) = log(12) If the logs are equal, then (3x+9)/3 = 12 x+3 = 12 x = 9
 Complex_Numbers/452159: A desk is on sale for 29% off. The sale price is \$497. What is the regular price?1 solutions Answer 310944 by Alan3354(30993)   on 2011-05-21 11:37:30 (Show Source): You can put this solution on YOUR website!\$497 = 71% of the RP (100 - 29) RP*0.71 = 497 RP = 497/0.71 RP = \$700
 Linear-systems/452308: Solve by substitution method. 5x-8y=9 9x+91=y Thank you, Missy1 solutions Answer 310943 by Alan3354(30993)   on 2011-05-21 11:35:32 (Show Source): You can put this solution on YOUR website!Do it like this one. y is already solved for, so sub for y --------------- Solve by substitution. 6m+n=52 m-5n=19 --> m = 5n+19 Sub for m in the 1st eqn 6m+n=52 6(5n+19) + n = 52 30n + 114 + n = 52 31n = -62 n = -2 --------- 6m+n=52 6m - 2 = 52 6m = 54 m = 9
 Linear-systems/452310: Solve by substitution. 6m+n=52 m-5n=19 Thank you, Missy1 solutions Answer 310942 by Alan3354(30993)   on 2011-05-21 11:34:48 (Show Source): You can put this solution on YOUR website!Solve by substitution. 6m+n=52 m-5n=19 --> m = 5n+19 Sub for m in the 1st eqn 6m+n=52 6(5n+19) + n = 52 30n + 114 + n = 52 31n = -62 n = -2 --------- 6m+n=52 6m - 2 = 52 6m = 54 m = 9
 Numbers_Word_Problems/452298: can we make two odd numbers +two odd numbers to get a result of odd numbers also1 solutions Answer 310938 by Alan3354(30993)   on 2011-05-21 10:44:29 (Show Source): You can put this solution on YOUR website!No. The sum of 2 odd numbers is always even. The sum of 2 even numbers is even.
 Exponential-and-logarithmic-functions/452299: how can 0.0000000023 be written1 solutions Answer 310937 by Alan3354(30993)   on 2011-05-21 10:38:08 (Show Source): You can put this solution on YOUR website!how can 0.0000000023 be written+ -------- Like that, or as 2.3E-9 or --------------- The 2 above are standard scientific notation. ---------- It can also be written at 23E-10, or 0.23E-8, or as 0.0000000046/2 The question is too broad.
Quadratic_Equations/452304: X2 + 6X + 15 = 0
Show how this equation has no solution?
1 solutions

Answer 310936 by Alan3354(30993)   on 2011-05-21 10:30:11 (Show Source):
You can put this solution on YOUR website!
 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . The discriminant -24 is less than zero. That means that there are no solutions among real numbers. If you are a student of advanced school algebra and are aware about imaginary numbers, read on. In the field of imaginary numbers, the square root of -24 is + or - . The solution is , or Here's your graph:

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It has two solutions, but no real numbers solutions.

 Probability-and-statistics/452293: How can I solve this problem if it is solveable x^2 + 2^2=1 solutions Answer 310933 by Alan3354(30993)   on 2011-05-21 09:12:27 (Show Source): You can put this solution on YOUR website!It's not an equation, nothing to solve.
 Exponential-and-logarithmic-functions/452198: can i see step by step of how to factor 81^(3n+4)-3x^(6n+4)1 solutions Answer 310927 by Alan3354(30993)   on 2011-05-21 08:16:38 (Show Source): You can put this solution on YOUR website!Did you mean 81^(3n+2)-3x^(6n+4)?
 Mixture_Word_Problems/452290: What is 1/24 of \$500.00 as a monthly payment. Believe it or not, I was a physics major in college and am pregnant. I just cant figure this out.. HELP !! haha..1 solutions Answer 310926 by Alan3354(30993)   on 2011-05-21 08:14:41 (Show Source): You can put this solution on YOUR website!1/24 of \$500 = \$20.83 I don't know how "as a monthly payment" is relevant.
 Square-cubic-other-roots/452292: what is the square root of 281/100, but it has to be in decimal form1 solutions Answer 310925 by Alan3354(30993)   on 2011-05-21 08:13:17 (Show Source): You can put this solution on YOUR website!It's the sqrt(2.81) Use a calculator
 Bodies-in-space/452291: When the radius of a sphere is doubled, what is the resulting change in volume?1 solutions Answer 310923 by Alan3354(30993)   on 2011-05-21 07:56:15 (Show Source): You can put this solution on YOUR website!It's 8 times. Volume is a function of r^3
 Permutations/452259: NASCAR is on right now. In how many ways can the top three places be filled from the original 42 drivers1 solutions Answer 310919 by Alan3354(30993)   on 2011-05-21 07:20:54 (Show Source): You can put this solution on YOUR website!42*41*40
 Problems-with-consecutive-odd-even-integers/452273: find three consecutive numbers of 941 solutions Answer 310916 by Alan3354(30993)   on 2011-05-21 07:15:44 (Show Source): You can put this solution on YOUR website!That makes no sense.
 Geometry_Word_Problems/452209: If an object is in free fall, the sequence 16, 48, 80, ... represents the distance in feet that the object falls during the first second, during the second second, during the third second, and so on. How far will the object fall during the first 9 seconds?1 solutions Answer 310864 by Alan3354(30993)   on 2011-05-20 21:45:56 (Show Source): You can put this solution on YOUR website!The total at the end of each second is 1 16 2 64 3 144 ------- --> s = 16t^2 For 9 seconds = 16*81 = 1296 feet
 Linear-systems/452229: x-y=-91 solutions Answer 310863 by Alan3354(30993)   on 2011-05-20 21:42:47 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Travel_Word_Problems/452220: what was the average speed the plane traveled of 3375? 1 solutions Answer 310862 by Alan3354(30993)   on 2011-05-20 21:41:20 (Show Source): You can put this solution on YOUR website!What?
 Rational-functions/452116: w-3/w-7 - w+1/w+7 + w-63/w^2-49 Please help, not sure if I combine like terms to get the answer.1 solutions Answer 310792 by Alan3354(30993)   on 2011-05-20 13:19:07 (Show Source): You can put this solution on YOUR website!The 3 terms have to have the same denominator.
 Rectangles/452117: Two rectangles are similar: one has length = 30 units and width = 6 units, and the other has length = 10 units and width = _____ units.1 solutions Answer 310790 by Alan3354(30993)   on 2011-05-20 13:12:55 (Show Source): You can put this solution on YOUR website!The length is 1/3, so it's 1/3 of 6 = 2 units