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# Recent problems solved by 'Alan3354'

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 Circles/551315: A circular sector has a radius of 12cm and a central angle of 1.5 radians. What is the arc length? I'm not sure what equation to use to solve this problem.1 solutions Answer 359623 by Alan3354(31509)   on 2011-12-31 17:48:22 (Show Source): You can put this solution on YOUR website!A circular sector has a radius of 12cm and a central angle of 1.5 radians. What is the arc length? ------------ Arc = r*angle = 12*1.5 = 18 cm
 test/551314: 12x squared equals 93.61 solutions Answer 359622 by Alan3354(31509)   on 2011-12-31 17:47:31 (Show Source): You can put this solution on YOUR website!12x squared equals 93.6 ----------- Divide by 12, take the sq root.
 Linear-equations/551308: Solve using addition-subtraction method to solve. and check 4x+6y=16 3x-2y= -11 solutions Answer 359621 by Alan3354(31509)   on 2011-12-31 17:46:30 (Show Source): You can put this solution on YOUR website!Solve using addition-subtraction method to solve. and check 4x+6y=16 3x-2y= -1 ------------- Multiply the 2nd eqn by 3, then add.
 test/551281: In Colorado Creek, Darrell can row 24 km downstream in 6 hours or he can row 18 km upstream in the same amount of time. Find the rate he rows in still water and the rate of the current. Please help me!!!1 solutions Answer 359597 by Alan3354(31509)   on 2011-12-31 15:35:15 (Show Source): You can put this solution on YOUR website!In Colorado Creek, Darrell can row 24 km downstream in 6 hours or he can row 18 km upstream in the same amount of time. Find the rate he rows in still water and the rate of the current. Please help me!!! ----------- Another one. Same problem, different numbers.
 test/551298: Bill flew his small airplane 459 km in 4.5 hours flying with the wind. He flew 480 km against the wind in 6 hours. Find the rate at which he flew in still air and the rate of the wind. Please help me!!!!!1 solutions Answer 359596 by Alan3354(31509)   on 2011-12-31 15:34:07 (Show Source): You can put this solution on YOUR website!Bill flew his small airplane 459 km in 4.5 hours flying with the wind. He flew 480 km against the wind in 6 hours. Find the rate at which he flew in still air and the rate of the wind. Please help me!!!!! ----------- That's very similar to the one I just did. Make an effort, show your work.
 test/551291: In Red River, Katen can row 12 km downstream in 45 minutes or she can row 1.5 km upstream in the same amount of time. Find the rate she rows in still water and the rate of the current. Please help me!!!!!1 solutions Answer 359594 by Alan3354(31509)   on 2011-12-31 15:30:06 (Show Source): You can put this solution on YOUR website!In Red River, Katen can row 12 km downstream in 45 minutes or she can row 1.5 km upstream in the same amount of time. Find the rate she rows in still water and the rate of the current. ------------------- 12 km downstream in 45 minutes d = r*t r = d/t = 12/45 = 4/15 km/minute = 16 km/hr ------------- 1.5 km upstream in 45 mins = 0.0333 km/minute = 2 km/hr ---- r = her rowing speed c = current --- r + c = 16 r - c = 2 You can finish it
Linear-equations/551229: A triangle has base 12 centimetres and 8 centimetres . How much do you have to increase each dimension equally so that the area is tripled?
1 solutions

Answer 359588 by Alan3354(31509)   on 2011-12-31 14:25:59 (Show Source):
You can put this solution on YOUR website!
A triangle has base 12 centimetres and 8 centimetres . How much do you have to increase each dimension equally so that the area is tripled?
--------------
Area = b*h/2 = 12*8/2 = 48 sq cm
------------
3*Area = (b*x)*(h*x)/2 = 48*3 = 144 sq cm
If you mean to add the same amount to make it 144 sq cm, then:
(8+x)*(12+x) = 288

 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 : . Discriminant d=1168 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 7.08800749063506, -27.0880074906351. Here's your graph:

Add ~ 7.088 cm to each side

 Circles/551253: i need some properties of quardrant and a semicircle1 solutions Answer 359586 by Alan3354(31509)   on 2011-12-31 14:18:20 (Show Source): You can put this solution on YOUR website!A quadrant is 1/4 of a circle. A semicircle is 1/2 of a circle.
 �t�e�s�t/551266: how do you solve y=x-3? in linear equation?1 solutions Answer 359585 by Alan3354(31509)   on 2011-12-31 14:17:21 (Show Source): You can put this solution on YOUR website!how do you solve y=x-3? in linear equation? ---------- It's already solved for y y = x-3 ----- It's a linear equation If you graph it, it's a straight line, and every point on it is a solution.
 Triangles/551271: a right triangle has a hypotenuse of 20 cm and one of its legs measures 16cm. find the area of the triangle1 solutions Answer 359584 by Alan3354(31509)   on 2011-12-31 14:13:13 (Show Source): You can put this solution on YOUR website!a right triangle has a hypotenuse of 20 cm and one of its legs measures 16cm. find the area of the triangle --------------- 16 cm = the height. Find the base using Pythagoras ---- Or, just notice that it's the 3, 4, 5 triangle times 4 --> 12, 16 & 20 ----------------- Area = b*h/2 = 12*16/2 = 96 sq cm
 expressions/551267: HI I am trying to prepare myself for math classes, and I came over this exercise which I do not know how to solve. The chapter is about simplifying algebraic expressions, and I do understand the basics, but not when the questions are a bit more complicated . I am suppose to simplify this: (-5z)(2z^2) thank you in advance1 solutions Answer 359583 by Alan3354(31509)   on 2011-12-31 14:10:48 (Show Source): You can put this solution on YOUR website!(-5z)(2z^2) --------- -5*2 = -10 -- Add exponents when you multiply =
 Problems-with-consecutive-odd-even-integers/551268: three consecutive intergers such that the product of the first is 2 more than 9 times the third: need to show work also.......1 solutions Answer 359582 by Alan3354(31509)   on 2011-12-31 14:08:43 (Show Source): You can put this solution on YOUR website!three consecutive intergers such that the product of the first is 2 more than 9 times the third -------------- Integers are n, n+1 & n+2 n*(n+1) = 9(n+2) + 2 Can you finish it?
 Problems-with-consecutive-odd-even-integers/551245: If three numbers equal 156 and the 3rd number is 6 times less than the 1 number and the 2nd number is 4 times more than the 3rd, what is the answer?1 solutions Answer 359580 by Alan3354(31509)   on 2011-12-31 13:31:20 (Show Source): You can put this solution on YOUR website!If three numbers equal 156 and the 3rd number is 6 times less than the 1 number and the 2nd number is 4 times more than the 3rd, what is the answer? ------------ If the 3 numbers are n1, n2 & n3 n1 = 156 n2 = 156 n3 = 156 -------- The problem makes no sense. Try it again.
 Square-cubic-other-roots/551255: I really need some help here and I can't remember how to this designing a paper cup a) approximate S to the nearest hundredth when r=1.5 inches and h= 4 inches 1 solutions Answer 359579 by Alan3354(31509)   on 2011-12-31 13:29:46 (Show Source): You can put this solution on YOUR website!designing a paper cup a) approximate S to the nearest hundredth when r=1.5 inches and h= 4 inches ------------- If h is the distance on the center line, and not the slant height, Find the slant height: Lateral area = sq inches That does not include the area of the bottom.
 Trigonometry-basics/551251: Given the following figure, complete the following. (Leave as fractions.): P (-4,3) sin A = cos A = tan A = csc A = sec A = cot A =1 solutions Answer 359562 by Alan3354(31509)   on 2011-12-31 11:58:56 (Show Source): You can put this solution on YOUR website!Given the following figure, complete the following. (Leave as fractions.): P (-4,3) sin A = cos A = tan A = csc A = sec A = cot A = ------------- -------- x = -4, y = 3 --- sin = y/Hyp cos = x/Hyp tan = y/x ----- cot = 1/tan sec = 1/cos csc = 1/sin
 Numeric_Fractions/551227: on negative number factions (eg. -7x) what do you do?1 solutions Answer 359558 by Alan3354(31509)   on 2011-12-31 11:41:45 (Show Source): You can put this solution on YOUR website!-7x is not a fraction.
 Linear-equations/551165: slope=m= y2-y1=55.9-59.5 x2-x1=1984-1964 m=-3.6= -0.18 20 y-intercept =b=+61 Can someone explain the steps to find +61 .I course understand all that is needed for finding the line of best fit. I just don't know where b=+61 comes into play. 1 solutions Answer 359557 by Alan3354(31509)   on 2011-12-31 11:40:14 (Show Source): You can put this solution on YOUR website! slope=m= y2-y1=55.9-59.5 x2-x1=1984-1964 m=-3.6= -0.18 20 y-intercept =b=+61 Can someone explain the steps to find +61 .I course understand all that is needed for finding the line of best fit. I just don't know where b=+61 comes into play. -------------- No idea. You typed it.
 Polynomials-and-rational-expressions/551228: Evaluate the polynomial for x=3 when x=3, 2x^2-3x+5=1 solutions Answer 359556 by Alan3354(31509)   on 2011-12-31 11:38:27 (Show Source): You can put this solution on YOUR website!2x^2-3x+5 ----- Sub 3 for x
 Quadratic_Equations/551206: Find the equation of the axis of symmetry for y=2x^2+8x-1. Use the formula x= -b/2a1 solutions Answer 359555 by Alan3354(31509)   on 2011-12-31 11:34:36 (Show Source): You can put this solution on YOUR website!Find the equation of the axis of symmetry for y=2x^2+8x-1. Use the formula x= -b/2a ------ a = 2, b = 8 Use the formula x= -b/2a
 Probability-and-statistics/551236: Find the sides (to 2 decimal places) of the following triangle: angle A = 45, angle B = 60, angle C = 75 1 solutions Answer 359554 by Alan3354(31509)   on 2011-12-31 11:33:09 (Show Source): You can put this solution on YOUR website!Find the sides (to 2 decimal places) of the following triangle: angle A = 45, angle B = 60, angle C = 75 ------------------ There's no unique solution, there are an infinite # of similar triangles. --------
 Coordinate-system/551221: Find the area of the region bounded by x = y3 , x+y=2 , y =01 solutions Answer 359543 by Alan3354(31509)   on 2011-12-31 09:20:01 (Show Source): You can put this solution on YOUR website!Find the area of the region bounded by x = y3 , x+y=2 , y =0 ------------ That's the area under y = x^3 from x=0 to x=1, and the x-axis, plus a triangle with vertices (1,0), (1,1) & (2,0). ----------- Under the curve: Int(x^3)dx = Area = 1/4 sq unit ---- The triangle is 1*1/2 = 1/2 sq unit Total = 3/4 sq unit
 Expressions-with-variables/551215: please can you help me solve this question? Write algebraic expressions for the following sentence. Billy had r pound coins and found another.How many pound coins did he have then? 1 solutions Answer 359540 by Alan3354(31509)   on 2011-12-31 06:13:46 (Show Source): You can put this solution on YOUR website!r + 1
 Travel_Word_Problems/551220: I'm really terrible... I tried hard to answer but I think my answer is wrong. My answer to the word problem I'm about to ask now is 3hrs and 33 minutes. I badly want to show my solution but I kind of misplaced it so here is my word problem. Two buses starts out from the same terminal and travel in opposite directions at the rates of 80 kph and 70 kph, respectively. In how many hours will they be 500 kilometers apart?1 solutions Answer 359539 by Alan3354(31509)   on 2011-12-31 06:13:11 (Show Source): You can put this solution on YOUR website!Two buses starts out from the same terminal and travel in opposite directions at the rates of 80 kph and 70 kph, respectively. In how many hours will they be 500 kilometers apart? ---------------- Going in opposite directions, their speeds are added --> 150 km/hr ---- d = r*t t = d/r = 500/150 t = 3.333 hrs = 3 hr 20 mins
 Trigonometry-basics/550922: For what numbers x, 0<=x<=2pi does sin x = -1? Can you please show me a step by step instruction on how you solve this problem.1 solutions Answer 359511 by Alan3354(31509)   on 2011-12-30 21:45:29 (Show Source): You can put this solution on YOUR website!For what numbers x, 0<=x<=2pi does sin x = -1? Can you please show me a step by step instruction on how you solve this problem. ---------- Plot on a unit circle. Hyp = 1 sin = side opp/hyp = y/x --> 3pi/2
 Angles/551073: The supplement of an angle is ten times as large as the complement. Find the original angle1 solutions Answer 359489 by Alan3354(31509)   on 2011-12-30 20:13:22 (Show Source): You can put this solution on YOUR website!The supplement of an angle is ten times as large as the complement. Find the original angle ------- A + 10A = 90 A = 90/11 degs
 Numbers_Word_Problems/551074: The sum of the digits of a certain two digit number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. What is the original number? Please help me answer this!1 solutions Answer 359486 by Alan3354(31509)   on 2011-12-30 20:08:02 (Show Source): You can put this solution on YOUR website!The sum of the digits of a certain two digit number is 10. If the number formed by interchanging the digits is subtracted from the original number, the result is 18. What is the original number? ------------ Hint: The difference between the 2 digits is 18/9 = 2
 Linear-systems/551163: (1)/(3)y=(1)/(3)x+(5)/(3) x-3y=51 solutions Answer 359485 by Alan3354(31509)   on 2011-12-30 20:06:31 (Show Source): You can put this solution on YOUR website!(1)/(3)y=(1)/(3)x+(5)/(3) x-3y=5 ------------------------------- (1)/(3)y=(1)/(3)x+(5)/(3) Is it (1/3)y or 1/(3y) ? ------ Making 5/3 (5)/(3) doesn't clarify anything.
 Coordinate-system/551167: if (-3,2) is the endpoint OF A LINE segment and (-1,7) is its midpoint what is the other endpoint?1 solutions Answer 359483 by Alan3354(31509)   on 2011-12-30 19:58:47 (Show Source): You can put this solution on YOUR website!if (-3,2) is the endpoint OF A LINE segment and (-1,7) is its midpoint what is the other endpoint? ----------- For x: distance to MP = 2 Add 2 to MP --> x = +1 --------- For y: distance to MP = 5 Add 5 to MP --> y = +12 ---- Other end at (1,12)
 Trigonometry-basics/551172: Find the exact value of tan 19pi/6 using periodic properties thanks1 solutions Answer 359482 by Alan3354(31509)   on 2011-12-30 19:56:22 (Show Source): You can put this solution on YOUR website!Find the exact value of tan 19pi/6 using periodic properties ------- = tan(7pi/6) =
 Travel_Word_Problems/551162: if you are going at the speed of 60 miles per hour and the way to our destination , how many minutes will it take1 solutions Answer 359478 by Alan3354(31509)   on 2011-12-30 19:31:45 (Show Source): You can put this solution on YOUR website!It depends on how far it is.