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# Recent problems solved by 'Alan3354'

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 percentage/558322: convert 37/40 to a percent1 solutions Answer 363021 by Alan3354(30993)   on 2012-01-17 08:58:39 (Show Source): You can put this solution on YOUR website!convert 37/40 to a percent ------- 37.40 = 0.925 per cent means "per hundred" 0.925*100 --> 92.5%
Trigonometry-basics/558191: Cos 2x + cos x + 1= 0. Solve.
1 solutions

Answer 362936 by Alan3354(30993)   on 2012-01-16 20:20:17 (Show Source):
You can put this solution on YOUR website!
Cos 2x + cos x + 1= 0. Solve.
----------
Sub u for cos)x)

 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 -3 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 -3 is + or - . The solution is , or Here's your graph:

---------
Sub back:
cos(x) = -1/2 +/- i*sqrt(3)/2
No real solutions.

 Rectangles/558041: Each edge of a cube is a-2 units long . Which shows its volume in cubic units1 solutions Answer 362886 by Alan3354(30993)   on 2012-01-16 16:26:20 (Show Source): You can put this solution on YOUR website!It's (a-2)*(a-2)*(a-2) cubic units
 Travel_Word_Problems/558015: An airplane travels 1800km in 6 hours flying with the wind. It travels only two thirds as far in the same time against the wind. Find the speed of the wind. 1 solutions Answer 362879 by Alan3354(30993)   on 2012-01-16 16:18:21 (Show Source): You can put this solution on YOUR website!An airplane travels 1800km in 6 hours flying with the wind. It travels only two thirds as far in the same time against the wind. Find the speed of the wind. ----------- 1800 km/6 hr = 300 km/hr 2/3 of that = 200 km/hr ----------- wind speed = 1/2 the difference = 50 km/hr
 Exponential-and-logarithmic-functions/558023: log base 3 x=61 solutions Answer 362877 by Alan3354(30993)   on 2012-01-16 16:14:34 (Show Source): You can put this solution on YOUR website!log base 3 x=6 ------- The log is the exponent. -->
 Travel_Word_Problems/558016: Pat biked 1 mile in 3 minutes with the wind at her back, and then she returned in 4 minutes riding against the wind. What was the speed of wind?1 solutions Answer 362873 by Alan3354(30993)   on 2012-01-16 16:11:33 (Show Source): You can put this solution on YOUR website!Pat biked 1 mile in 3 minutes with the wind at her back, and then she returned in 4 minutes riding against the wind. What was the speed of wind? ----------- There's no simple or well-defined relation between wind speed and bike speed. You ever ridden a bike?
 Equations/558026: how do you solve this: y=2/3x+4 y=2/3x-1 intersecting, parallel,or same ________ How many solutions?____________ I understand how to find the parallel and the intersecting stuff but I dont get how to find how many solutions stuff. please help!!1 solutions Answer 362872 by Alan3354(30993)   on 2012-01-16 16:09:11 (Show Source): You can put this solution on YOUR website!how do you solve this: y=2/3x+4 y=2/3x-1 I understand how to find the parallel and the intersecting stuff but I dont get how to find how many solutions stuff. please help!! ---------- The slope is the same (2/3), so they're parallel. The y-intercepts are different, (+4 and -1) so they're not coincident or dependent. --> no solution
 Polygons/557985: Each interior angle of a regular polygon measures 172 degrees. How many sides does the polygon have?1 solutions Answer 362850 by Alan3354(30993)   on 2012-01-16 15:05:19 (Show Source): You can put this solution on YOUR website!Each interior angle of a regular polygon measures 172 degrees. How many sides does the polygon have? ---------- Each ext angle = 180-172 = 8 degs # of sides = 360/8 = 45
 Trigonometry-basics/557983: Find the exact value of sin pi 41 divided by 4 1 solutions Answer 362848 by Alan3354(30993)   on 2012-01-16 15:02:45 (Show Source): You can put this solution on YOUR website!Find the exact value of sin pi 41 divided by 4 ------------ That's not clear. sin(pi 41)/4 ?
 Geometry_Word_Problems/557979: How do you make a word problem for....The radious of the tabletop equaling 20, pi(3.14), and the area of the table top?1 solutions Answer 362846 by Alan3354(30993)   on 2012-01-16 15:00:14 (Show Source): You can put this solution on YOUR website!How do you make a word problem for....The radious of the tabletop equaling 20, pi(3.14), and the area of the table top? -------------- What is the area of a table top with a radius of 20? ----- All problems are "word problems." "x equals two plus three. Solve for x" included.
 Numbers_Word_Problems/557981: Five times a number is less than three times the same number. Find such a number1 solutions Answer 362845 by Alan3354(30993)   on 2012-01-16 14:57:35 (Show Source): You can put this solution on YOUR website!Five times a number is less than three times the same number. Find such a number ------ 5n < 3n 2n < 0 n < 0 ------ All negative numbers.
 Triangles/557961: Could I find the missing two side lengths of a right triangle if i only have one, and one angle measure?1 solutions Answer 362843 by Alan3354(30993)   on 2012-01-16 14:54:43 (Show Source): You can put this solution on YOUR website!Could I find the missing two side lengths of a right triangle if i only have one, and one angle measure? -------- Yes, if you mean one angle in addition to the 90 deg angle. You can find all 3 angles and find the sides with that info.
 Linear-systems/557977: don't know why the substitution method my head wont engage in. I am a college student , this on is driving me crazy x+y=4,y=3x using substitution method. in need of serious help.1 solutions Answer 362842 by Alan3354(30993)   on 2012-01-16 14:49:07 (Show Source): You can put this solution on YOUR website! x+y=4,y=3x using substitution method. --------- x+y=4 y=3x ----- Sub for y in the 1st eqn, find x. x + 3x = 4 4x = 4 x = 1 ------ y = 3
 Trigonometry-basics/557973: Find all solutions for the equation 2csc^(2)x=41 solutions Answer 362841 by Alan3354(30993)   on 2012-01-16 14:45:44 (Show Source): You can put this solution on YOUR website!Find all solutions for the equation 2csc^(2)x=4 ---------- If you mean Can you finish it?
 Proportions/557954: 5:200 as X:40 X=1 solutions Answer 362839 by Alan3354(30993)   on 2012-01-16 14:26:14 (Show Source): You can put this solution on YOUR website!Do it like this one. ---- 20:60 as X:50 ------ Multiply the means and extremes, or the inners and outers. 20*50 = 60x x = 1000/60 = 50/3
 Proportions/557953: X:30 as 4:10 X=1 solutions Answer 362838 by Alan3354(30993)   on 2012-01-16 14:25:48 (Show Source): You can put this solution on YOUR website!Do it like this one. ---- 20:60 as X:50 ------ Multiply the means and extremes, or the inners and outers. 20*50 = 60x x = 1000/60 = 50/3
 Proportions/557951: 20:60 as X:50 x=1 solutions Answer 362837 by Alan3354(30993)   on 2012-01-16 14:25:08 (Show Source): You can put this solution on YOUR website!20:60 as X:50 ------ Multiply the means and extremes, or the inners and outers. 20*50 = 60x x = 1000/60 = 50/3
 Graphs/557956: Please help me find the x intercept and graph for 1 solutions Answer 362836 by Alan3354(30993)   on 2012-01-16 14:23:37 (Show Source): You can put this solution on YOUR website!Please help me find the x intercept and graph for ------------ At the x-int, y = 0 x = 0, x = 0 ------------ dl the FREE graph software at http://www.padowan.dk ------------ Use Insert, then 2x^2
 Permutations/557946: If x factorial is equal to 630 then x is what ?1 solutions Answer 362835 by Alan3354(30993)   on 2012-01-16 14:13:53 (Show Source): You can put this solution on YOUR website!If x factorial is equal to 630 then x is what ? ---- 5! = 120 6! = 720 ---- There's no integer, so no factorial. See the Gamma function for non-integer solutions.
 Travel_Word_Problems/557952: if you travel at 60mph, you are going one mile per minute, if you are traveling 67mph how many miles per minute?1 solutions Answer 362834 by Alan3354(30993)   on 2012-01-16 14:12:24 (Show Source): You can put this solution on YOUR website!67/60 mi/minute
 Quadratic_Equations/557924: Where does the -16 come from in the vertical motion equation?1 solutions Answer 362833 by Alan3354(30993)   on 2012-01-16 14:11:37 (Show Source): You can put this solution on YOUR website!Where does the -16 come from in the vertical motion equation? ---------- Earth's gravitational acceleration is apx 32.16 ft/sec/sec, 32 is often used. 16 is 1/2 of that, in the equation s = at^2/2 = 16t^2 It's negative because it's downward. --> -16t^2
 Complex_Numbers/557863: two airports, one in california and one in new york, are 3000 miles apart. a plane leaving california is traveling to new york at 200 miles per hour. another leaving new york is traveling to california at 250 miles per hour. when will the two planes pass each other?1 solutions Answer 362803 by Alan3354(30993)   on 2012-01-16 11:39:50 (Show Source): You can put this solution on YOUR website!two airports, one in california and one in new york, are 3000 miles apart. a plane leaving california is traveling to new york at 200 miles per hour. another leaving new york is traveling to california at 250 miles per hour. when will the two planes pass each other? ----------------- 3000/450 = 6 2/3 hour = 6 hours 40 minutes after takeoff, unless they stop to refuel before that. Planes that slow seldom have 6 hours of endurance.
 Polygons/557856: The average of the measures of 4 interior angles of a pentagon is 110 degrees. I then need to find out the measure of the fifth interior angle. How do I find out what the four interior angles averaged to 110 degrees are? 1 solutions Answer 362801 by Alan3354(30993)   on 2012-01-16 11:08:02 (Show Source): You can put this solution on YOUR website!The average of the measures of 4 interior angles of a pentagon is 110 degrees. I then need to find out the measure of the fifth interior angle. How do I find out what the four interior angles averaged to 110 degrees are? ------------- 4 angles with an average of 110 total 440 degs. That leaves 100 degs for the 5th angle. ----- It's not possible to determine the 4 individual angles.
 Numbers_Word_Problems/557823: The square of the first number, plus the second number equals 14. 1 solutions Answer 362800 by Alan3354(30993)   on 2012-01-16 11:02:27 (Show Source): You can put this solution on YOUR website!The square of the first number, plus the second number equals 14. -------
 Roman-numerals/557853: Hi, i am having a little trouble with roman numerals. I was wondering if you can help me count them and write them starting from 1 to 100. All i know is: 1-I 2-II 3-III 4-IV 5-V This is all i know.1 solutions Answer 362799 by Alan3354(30993)   on 2012-01-16 10:50:29 (Show Source): You can put this solution on YOUR website!Hi, i am having a little trouble with roman numerals. I was wondering if you can help me count them and write them starting from 1 to 100. All i know is: 1-I 2-II 3-III 4-IV 5-V ---------- I think you can google that.
 Travel_Word_Problems/557852: Ryan left the science museum and drove south. Gabriella left three hours later drving 42 km/h faster in an effort to catch up to him. After two hours Gabriella finally caught up. Find Ryan's average speed. 1 solutions Answer 362798 by Alan3354(30993)   on 2012-01-16 10:49:41 (Show Source): You can put this solution on YOUR website!Ryan left the science museum and drove south. Gabriella left three hours later drving 42 km/h faster in an effort to catch up to him. After two hours Gabriella finally caught up. Find Ryan's average speed. ----------- Ryan's speed = r In 3 hours, he's 3r miles away. G caught up to him in 2 hours at 42 km/hr wrt Ryan --> he was 84 km ahead. 3r = 84 r = 28 km/hr
 Functions/557851: Given the function f(x) = 2x + 2, what is the value of x if f(x) = 6?1 solutions Answer 362797 by Alan3354(30993)   on 2012-01-16 10:30:03 (Show Source): You can put this solution on YOUR website!Given the function f(x) = 2x + 2, what is the value of x if f(x) = 6? --------- 2x + 2 = 6 x = 2
 test/557842: (2x^3)^2 (3x^_4)^31 solutions Answer 362796 by Alan3354(30993)   on 2012-01-16 10:26:44 (Show Source): You can put this solution on YOUR website!Ignoring the underscore: =
 Travel_Word_Problems/557824: start from a place on the earth surface, you travel south for 100 miles then east for 100 miles then to north for the same distance . now where did u start?1 solutions Answer 362795 by Alan3354(30993)   on 2012-01-16 10:24:51 (Show Source): You can put this solution on YOUR website!start from a place on the earth surface, you travel south for 100 miles then east for 100 miles then to north for the same distance . now where did u start? ----------- The North Pole
 Polygons/557848: How many sides does a polygon with an interior angle measure of 108 degrees have? Show your work.1 solutions Answer 362794 by Alan3354(30993)   on 2012-01-16 10:23:14 (Show Source): You can put this solution on YOUR website!How many sides does a polygon with an interior angle measure of 108 degrees have? Show your work. --------- Ext angles = 180 - 108 = 72 # of sides = 360/72 = 5
 Linear-equations/557829: Find the equation of the vertical line passing through (-8, 5).1 solutions Answer 362790 by Alan3354(30993)   on 2012-01-16 09:10:18 (Show Source): You can put this solution on YOUR website!Find the equation of the vertical line passing through (-8, 5). ------ Vertical usually means parallel to the y-axis. That means the x is constant. --> x = -8