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Alan3354 answered: 30973 problems
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Trigonometry-basics/672584: Here is an example of a Trig function we are working on that I HAVE been able to solve, I think: solve trig equations algrebraically; sin^2(t)=2sin(t)+1 first set everything to zero; sin^2(t)-2sin(t)-1=0 then in this case I can use the foil method; (sin(t)-1)(sin(t)-1=0 then solve for (t); t=4.7+l(2pi) and t=pi-4.7i(2pi) This may seem like a more simple equation but....I'm just not sure about it still. Please help me solve: sec(t) = tan(t) I know to set everything equal to zero. sec(t)-tan(t)=0 I know sec=1/cos, but not sure if that would apply here.... thank you for your time 1 solutions Answer 418203 by Alan3354(30993)   on 2012-10-27 14:37:42 (Show Source): You can put this solution on YOUR website! Here is an example of a Trig function we are working on that I HAVE been able to solve, I think: solve trig equations algrebraically; sin^2(t)=2sin(t)+1 first set everything to zero; sin^2(t)-2sin(t)-1=0 then in this case I can use the foil method; (sin(t)-1)(sin(t)-1=0 then solve for (t); t=4.7+l(2pi) and t=pi-4.7i(2pi) --------------------------- first set everything to zero; sin^2(t)-2sin(t)-1=0 then in this case I can use the foil method; (sin(t)-1)(sin(t)-1=0 (sin(t)-1)(sin(t)-1=0 **** That doesn't factor --------------------- Sub x for sin(t) to save typing. 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=8 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 2.41421356237309, -0.414213562373095. Here's your graph: ======================= Ignore the 1st solution, it's > 1 --> no real solution. x = 1 - sqrt(2) sin(t) =~ -0.41421 t = 204.47, 335.53 + n*360 degs, n = -,1,2,3...

Linear-equations/672598: Write the equation of the line with x-intercept (–9, 0) and undefined slope. Write your results in slope-intercept form, if possible. 1 solutions Answer 418201 by Alan3354(30993)   on 2012-10-27 14:27:07 (Show Source): You can put this solution on YOUR website! Write the equation of the line with x-intercept (–9, 0) and undefined slope. Write your results in slope-intercept form, if possible. ------------- x = -9

Money_Word_Problems/672603: At 28 miles to the gallon traveling 204 miles. how much would the cost be split between 4 people? 1 solutions Answer 418200 by Alan3354(30993)   on 2012-10-27 14:26:05 (Show Source): You can put this solution on YOUR website! At 28 miles to the gallon traveling 204 miles. how much would the cost be split between 4 people? ----------- 204 mi/28 mi/gal =~ 7.3 gallons The price varies.

Graphs/672580: write an equation in slope intercept form for a line with a slope of -4 and y intercept-9 1 solutions Answer 418185 by Alan3354(30993)   on 2012-10-27 12:45:52 (Show Source): You can put this solution on YOUR website! write an equation in slope intercept form for a line with a slope of -4 and y intercept-9 ------------ y = -4x - 9

Trigonometry-basics/672588: Can you help me to solve Trig equations algebraically? 3tan^3(t)-3tan^2(t)-tan(t)+1=0 What I have so far, if correct;I changed my tan(t) to (x) for less confusion [3tan^3(t)-3tan^2(t)] -tan(t)+1=0 (3x^3-3X^2)-1x+1 = 0 3x(x^2-x)-1(x+1)= 0 pull out the common factor and then stuck! I should have two answers such as 3x-1 which would actually be 3tan(t)-1, then I would take 3tan(t)=1 which gives me 3tan equals {1+h(2pi)}/3 and {pi-1m(2pi)}/3 I just can't figure this problem further, trig is tough for me =, this may be a the best website ever! thank you for your time 1 solutions Answer 418184 by Alan3354(30993)   on 2012-10-27 12:38:58 (Show Source): You can put this solution on YOUR website! Can you help me to solve Trig equations algebraically? 3tan^3(t)-3tan^2(t)-tan(t)+1=0 What I have so far, if correct;I changed my tan(t) to (x) for less confusion [3tan^3(t)-3tan^2(t)] -tan(t)+1=0 (3x^3-3X^2)-1x+1 = 0 3x(x^2-x)-1(x+1)= 0 pull out the common factor and then stuck! --------------- Make it 3x^2(x - 1)-1(x+1)= 0 = 0

Polygons/672497: The sum of the angles of an n sided polygon is double the sum of the exterior angles.calculate n 1 solutions Answer 418180 by Alan3354(30993)   on 2012-10-27 11:35:04 (Show Source): You can put this solution on YOUR website! The sum of the angles of an n sided polygon is double the sum of the exterior angles.calculate n ------------------ The sum of exterior angles = 360 (always) --> sum of interior angles = 720 degs 180*(n-2) = 720 etc

Polygons/672498: Each angle of a regular polygon is 162. How many sides does the Polygon have? 1 solutions Answer 418179 by Alan3354(30993)   on 2012-10-27 11:21:59 (Show Source): You can put this solution on YOUR website! Each angle of a regular polygon is 162. How many sides does the Polygon have? ---------- Exterior angles = 180 - 162 = 18 degs n = 360/18 n = 20 sides

Points-lines-and-rays/672551: Find an equation(s) of the line(s) containing (5, 1) and at a distance 1 from the origin. 1 solutions Answer 418178 by Alan3354(30993)   on 2012-10-27 11:16:13 (Show Source): You can put this solution on YOUR website! Find an equation(s) of the line(s) containing (5,1) and at a distance 1 from the origin. ------------ --> 2 lines thru the point and tangent to the circle One line is parallel to the x-axis y = 1 *** eqn of one of the lines ------ The slope of the line from (5,1) to the Origin (center of the 1st circle) = 1/5 = tangent of the angle between the line and the x-axis. ----- The line from (0,0) to (5,1) is the bisector of the 2 tangent lines thru (5,1). --> the angle of the 2nd line and the x-axis = 2x the bisector angle = 2*atan(1/5) slope = tan(2*atan(1/5)) = 5/12 -------- Y = mx + b Use the point (5,1) and the slope = 5/12 1 = (5/12)*5 + b b = -13/12 2nd eqn y = (5/12)x - 13/12 ******************************* y = 1 & y = 5x/12 - 13/12

Trigonometry-basics/672541: If cos beta = 0.6, find without using tables, the value of a) sin beta b) 1- cos^2 beta 1 solutions Answer 418169 by Alan3354(30993)   on 2012-10-27 10:22:46 (Show Source): You can put this solution on YOUR website! If cos beta = 0.6, find without using tables, the value of a) sin beta b) 1- cos^2 beta -------------- b) 1- cos^2 beta = 0.64 = sin^2 ================ a) sin beta = 0.8 (or -0.8 in some quadrants)

decimal-numbers/672470: HOW DID YOU CHANGE A DECIMAL TO A FRACTION 1 solutions Answer 418044 by Alan3354(30993)   on 2012-10-26 21:55:31 (Show Source): You can put this solution on YOUR website! HOW DID YOU CHANGE A DECIMAL TO A FRACTION --------- Who said I did? --- 0.1 = 1/10

Money_Word_Problems/672456: Ten grams of Uranium will decay in 496,000 years. What is its half-life? 1 solutions Answer 418042 by Alan3354(30993)   on 2012-10-26 21:29:21 (Show Source): You can put this solution on YOUR website! Ten grams of Uranium will decay in 496,000 years. What is its half-life? ================ Will decay leaving how much?

Linear-systems/672295: How do you solve systems of linear equations using matrices? 1 solutions Answer 418034 by Alan3354(30993)   on 2012-10-26 20:16:44 (Show Source): You can put this solution on YOUR website! How do you solve systems of linear equations using matrices? ---------- I solve them very well. Thx for asking.

Equations/672328: solve for quadratic 3x2 - x = 11 1 solutions Answer 418033 by Alan3354(30993)   on 2012-10-26 20:15:14 (Show Source): You can put this solution on YOUR website! 3x2 - x = 11 3x2 - x - 11 = 0 --------- 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=133 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 2.08876043244513, -1.7554270991118. Here's your graph:

Polynomials-and-rational-expressions/672369: 4x^4-8x^3+12x^2 1 solutions Answer 418032 by Alan3354(30993)   on 2012-10-26 20:13:29 (Show Source): You can put this solution on YOUR website! 4x^4-8x^3+12x^2 =============== z^7 + y^9 --------------- Do you have a question?

test/672428: If log 10x=3 then x= 1 solutions Answer 418028 by Alan3354(30993)   on 2012-10-26 19:58:44 (Show Source): You can put this solution on YOUR website! If log 10x=3 log(10x) = 3 10x = 1000 x = 100

Inverses/672427: How do I find the inverse of the following equation: 8y+3y=9y+20 My ATTEMPT: 9y+20 9y/9 = y 20/9 = 2.222222222222222 Obviously WRONG! 1 solutions Answer 418027 by Alan3354(30993)   on 2012-10-26 19:57:47 (Show Source): You can put this solution on YOUR website! How do I find the inverse of the following equation: 8y+3y=9y+20 ------ 8y+3y=9y+20 11y = 9y+20 2y = 20 y = 10 ---------- There's no other variable --> no inverse.

�t�e�s�t/672337: Solve the inequality. and show me how you got to that answer. |3x - 6| ≤ 9 Thank you. :) 1 solutions Answer 418006 by Alan3354(30993)   on 2012-10-26 18:10:22 (Show Source): You can put this solution on YOUR website! Solve the inequality. and show me how you got to that answer. |3x - 6| <= 9 Case 1 |3x - 6| <= 9 3x - 6 <= 9 3x <= 15 x <= 5 ============= Case 2 - (3x - 6) <= 9 -3x + 6 <= 9 -3x <= 3 0 <= 3x+3 -3 <= 3x -1 <= x x >= -1

test/672404: Explain 1 solutions Answer 418005 by Alan3354(30993)   on 2012-10-26 18:05:25 (Show Source): You can put this solution on YOUR website! Explain ----------- ok

test/672400: a cylindrical can has a volume of 600 cubic centimeters and a radius of 4 centimeters. Find the height of the can. (-3,3) and (5,3) 1 solutions Answer 418004 by Alan3354(30993)   on 2012-10-26 18:04:53 (Show Source): You can put this solution on YOUR website! duplicate

test/672399: a cylindrical can has a volume of 600 cubic centimeters and a radius of 4 centimeters. Find the height of the can. (-3,3) and (5,3) 1 solutions Answer 418003 by Alan3354(30993)   on 2012-10-26 18:04:12 (Show Source): You can put this solution on YOUR website! a cylindrical can has a volume of 600 cubic centimeters and a radius of 4 centimeters. Find the height of the can. (-3,3) and (5,3) ------------------ -------------------- (-3,3) and (5,3) ??

Inverses/672407: Find the area of each figure of a triangle: 5/4m 10/7m 1 solutions Answer 418002 by Alan3354(30993)   on 2012-10-26 18:02:07 (Show Source): You can put this solution on YOUR website! Find the area of each figure of a triangle: 5/4m 10/7m ---------- What triangle?

Travel_Word_Problems/672406: If don ran 8 mph how long would it take him to run 20 miles at that pace 1 solutions Answer 418000 by Alan3354(30993)   on 2012-10-26 17:48:38 (Show Source): You can put this solution on YOUR website! If don ran 8 mph how long would it take him to run 20 miles at that pace ------------- d = r*t t = d/r

Square-cubic-other-roots/672274: 3cubic root of -216 and whole raised to power 5 1 solutions Answer 417999 by Alan3354(30993)   on 2012-10-26 17:44:46 (Show Source): You can put this solution on YOUR website! 3cubic root of -216 and whole raised to power 5 ========== What about it?

Complex_Numbers/672357: A student answered 705 of the questions on their math exam correctly. If she answred 21 questions corrects how many questions were on the exam? 1 solutions Answer 417998 by Alan3354(30993)   on 2012-10-26 17:43:31 (Show Source): You can put this solution on YOUR website! A student answered 705 of the questions on their math exam correctly. If she answred 21 questions corrects how many questions were on the exam? --------------- ?? Did she get 705 correct? Or 21 correct?

Graphs/672402: given the equation 2x-y= -6:what are they x and y intercepts?show your calculations 1 solutions Answer 417995 by Alan3354(30993)   on 2012-10-26 17:41:42 (Show Source): You can put this solution on YOUR website! given the equation 2x-y= -6:what are they x and y intercepts?show your calculations -------------- At the x-intercept, y = 0. At the y-intercept, x = 0

Volume/672397: 3.14 *6*6*9=................................... 1 solutions Answer 417991 by Alan3354(30993)   on 2012-10-26 17:25:25 (Show Source): You can put this solution on YOUR website! 3.14 *6*6*9 = You don't have a calculator?

Subset/672391: how many distinct subsets are there of a set having six elements? 1 solutions Answer 417985 by Alan3354(30993)   on 2012-10-26 17:14:29 (Show Source): You can put this solution on YOUR website! how many distinct subsets are there of a set having six elements? ---------- 2^6 = 64

Age_Word_Problems/672389: I am 12 years old and my brother is 5 years old. In how many years will I be twice as old as my brother? 1 solutions Answer 417979 by Alan3354(30993)   on 2012-10-26 17:09:00 (Show Source): You can put this solution on YOUR website! I am 12 years old and my brother is 5 years old. In how many years will I be twice as old as my brother? -------------- The age difference = 7 years When he's 7 you'll be 2x.

Permutations/672383: what 6 numbers not being repeated makes the number 20 1 solutions Answer 417973 by Alan3354(30993)   on 2012-10-26 16:56:12 (Show Source): You can put this solution on YOUR website! what 6 numbers not being repeated makes the number 20 --------------- 1+ 2 + 3 + 11/3 + 14/3 + 17/3 = 20

Age_Word_Problems/672384: Help me solve 9x+40 less than or equal to 15- x 1 solutions Answer 417970 by Alan3354(30993)   on 2012-10-26 16:54:06 (Show Source): You can put this solution on YOUR website! Help me solve 9x+40 less than or equal to 15- x ---------- 9x+40 <= 15 - x Add x to both sides Subtract 40 Divide by 10

Triangles/672377: how many us gallons are there in an olympic size swimming pool 1ftsqauared=7.481gallons 1 solutions Answer 417960 by Alan3354(30993)   on 2012-10-26 16:17:59 (Show Source): You can put this solution on YOUR website! how many us gallons are there in an olympic size swimming pool 1ftsqauared=7.481gallons --------------- Not enough info. What are the dimensions of the pool? ----------- PS 1 sq ft is area, not volume