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Alan3354 answered: 30945 problems
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Trigonometry-basics/712649: 1+cosec x + cot x/1+cosec x-cot x = cot x + cosec x -1/ cot x - cosec x +1 proove 1 solutions Answer 438105 by Alan3354(30965)   on 2013-02-10 07:49:00 (Show Source): You can put this solution on YOUR website! 1+cosec x + cot x/1+cosec x-cot x = cot x + cosec x -1/ cot x - cosec x +1 proove ------------ It's not clear what the NUM's and DEN's are. Add parentheses to clarify.

Polynomials-and-rational-expressions/712664: How to solve: 3p-4q=-17 6p+q=-16 Both of them are related 1 solutions Answer 438104 by Alan3354(30965)   on 2013-02-10 07:46:35 (Show Source): You can put this solution on YOUR website! How to solve: 3p-4q =-17 6p+ q =-16 ============== Multiply the 2nd eqn by 4, then add.

Complex_Numbers/712580: roots of z^4=-2 1 solutions Answer 438103 by Alan3354(30965)   on 2013-02-10 07:41:14 (Show Source): You can put this solution on YOUR website! roots of z^4=-2 ------ z^4 = 2cis(180) And cis(135), cis(225), cis(315)

Square-cubic-other-roots/712586: √62-√28= 1 solutions Answer 438063 by Alan3354(30965)   on 2013-02-09 22:05:16 (Show Source): You can put this solution on YOUR website! =~ 2.582505252

Numbers_Word_Problems/712587: The sum of 4 consecutive even number is 212. Find the 4th number 1 solutions Answer 438062 by Alan3354(30965)   on 2013-02-09 22:03:31 (Show Source): You can put this solution on YOUR website! The sum of 4 consecutive even number is 212. Find the 4th number -------- 212/4 = 53, the center --> 50, 52, 54, 56

Equations/712599: please help me... dx=y-gt 2(ax-k)=m thanks!! 1 solutions Answer 438061 by Alan3354(30965)   on 2013-02-09 22:02:20 (Show Source): You can put this solution on YOUR website! please help me... dx=y-gt 2(ax-k)=m ============= Help do what?

sets-and-operations/712602: Convert the following to base ten: a) E0T base 12 b)1011 base 2 c)43 base 5 Any help with this would be great! I am completely lost in these other number systems. 1 solutions Answer 438060 by Alan3354(30965)   on 2013-02-09 22:01:12 (Show Source): You can put this solution on YOUR website! Convert the following to base ten: a) E0T base 12 Don't know what that means. ---------- b)1011 base 2 = 8 + 2 + 1 = 11 ------------ c)43 base 5 = 4*5 + 3 = 23

Travel_Word_Problems/712535: Please help me with with equation to solve this problem. Sarah and her brother Adam live 400 miles apart. They left their homes at the same time and are driving towards one another to meet. Adam is driving at an average speed of 50 miles per hour and Sarah is driving at a speed of 60 miles per hour. What are the approximate distances that Adam and Sarah each will have traveled when they meet? How do I write the equation to solve? 1 solutions Answer 438059 by Alan3354(30965)   on 2013-02-09 21:59:42 (Show Source): You can put this solution on YOUR website! Sarah and her brother Adam live 400 miles apart. They left their homes at the same time and are driving towards one another to meet. Adam is driving at an average speed of 50 miles per hour and Sarah is driving at a speed of 60 miles per hour. What are the approximate distances that Adam and Sarah each will have traveled when they meet? ------------------ The speeds are added when going in opposite directions. They approach each other at 110 mi/hr The time to meet is t = d/r t = 400/110 = 40/11 hours ------------ d = r*t Adam drives 50*40/11 = 2000/11 miles Sarah drives 60*40/11 = 2400/11 miles

Square-cubic-other-roots/712603: I need help solving 3/4 square root 125. Can anyone help? 1 solutions Answer 438058 by Alan3354(30965)   on 2013-02-09 21:53:56 (Show Source): You can put this solution on YOUR website! I need help solving 3/4 square root 125. ------------- =~ 8.385255

expressions/712589: evaluate (a^4)^3 when a = (2/3)^-1/6 1 solutions Answer 438051 by Alan3354(30965)   on 2013-02-09 20:58:01 (Show Source): You can put this solution on YOUR website! evaluate (a^4)^3 when a = (2/3)^-1/6 ------------ = 9/4

Average/712561: The average of 11 numbers is 9, and the average of 9 other numbers is 11. As a decimal to the nearest tenth, what is the average of all 20 numbers? 1 solutions Answer 438048 by Alan3354(30965)   on 2013-02-09 20:20:55 (Show Source): You can put this solution on YOUR website! The average of 11 numbers is 9, and the average of 9 other numbers is 11. As a decimal to the nearest tenth, what is the average of all 20 numbers? ---------- 11*9 = 99 9*11 = 99 ----- (99 + 99)/20 = 9.9

Volume/712520: Hi please can you help me ? :) I think i have a little idea of how to do this but i need some help please. I think its speed divide time but im not sure, anyway please can i have some help ? Please can you also show the working out of how you did it. Thanks A Liquid has a volume of 58.3 cm3 and a mass of 71.3 grams. Calculate the density,correct to three significant figures. Thanks 1 solutions Answer 438047 by Alan3354(30965)   on 2013-02-09 20:18:19 (Show Source): You can put this solution on YOUR website! A Liquid has a volume of 58.3 cm3 and a mass of 71.3 grams. Calculate the density,correct to three significant figures. ------------- d = m/vol = 71.3/58.3 gm/cc d =~ 1.223 gm/cc ----------------- There is no speed or time involved.

Mixture_Word_Problems/712524: 40 oz of a 35% gold alloy are mixed with 64 oz of a 20% alloy. Find the concentration of the resulting gold alloy. 1 solutions Answer 438044 by Alan3354(30965)   on 2013-02-09 20:03:05 (Show Source): You can put this solution on YOUR website! 40 oz of a 35% gold alloy are mixed with 64 oz of a 20% alloy. Find the concentration of the resulting gold alloy. ---------- 40*35 + 64*20 = (40 + 64)*C

Travel_Word_Problems/712531: In a bike race, Drake drove his bike over the 1500 meter course from start to finish in 50 seconds. What was his average speed during the race? 1 solutions Answer 438043 by Alan3354(30965)   on 2013-02-09 20:01:51 (Show Source): You can put this solution on YOUR website! In a bike race, Drake drove his bike over the 1500 meter course from start to finish in 50 seconds. What was his average speed during the race? ----------- d = r*t r = d/t

Pythagorean-theorem/712541: How do you find the area of a regular octagon inscribed in a circle with radius r. 1 solutions Answer 438040 by Alan3354(30965)   on 2013-02-09 20:00:45 (Show Source): You can put this solution on YOUR website! How do you find the area of a regular octagon inscribed in a circle with radius r. --------- There's a formula for it, but you can only remember so many formulas. -------- It's 8 isoceles triangle with 2 sides = r The vertex angle is 45 degs.

Parallelograms/712555: How to prove that quadrilateral abcd is a rhombus? I get different midpoints 1 solutions Answer 438039 by Alan3354(30965)   on 2013-02-09 19:58:13 (Show Source): You can put this solution on YOUR website! How to prove that quadrilateral abcd is a rhombus? --------- Its diagonals are perpendicular.

Graphs/712540: Hi! would anyone know how to work problem -15x - 4y = -20 and 5x + 7y = 90 and show in detail about how you came up with a solution? 1 solutions Answer 438021 by Alan3354(30965)   on 2013-02-09 18:57:43 (Show Source): You can put this solution on YOUR website! -15x - 4y = -20 5x + 7y = 90 ============= Multiply the 2nd eqn by 3, then add them

Polynomials-and-rational-expressions/712487: (2+5/4x-1)= (-2/(4x-1)^2) I started it already but i do not really understand. This is what I have done: (2/1+5/4x-1)=(-2/(4x-1)^2) 2(4x-1)^2+5(4x-1)=-2 I do not know what else to do 1 solutions Answer 437984 by Alan3354(30965)   on 2013-02-09 15:45:59 (Show Source): You can put this solution on YOUR website! (2+5/4x-1)= (-2/(4x-1)^2) I started it already but i do not really understand. This is what I have done: (2/1+5/4x-1)=(-2/(4x-1)^2) 2(4x-1)^2+5(4x-1)=-2 I do not know what else to do ----------------- 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=144 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: 0.125, -0.25. Here's your graph: ==================== You can check both, see if they work in the original equation.

Surface-area/712403: what is the total surface area and the volume of a rectangular solid if the width is 3 cm, length 4 cm and diagonal length is square root of 29? 1 solutions Answer 437966 by Alan3354(30965)   on 2013-02-09 14:22:50 (Show Source): You can put this solution on YOUR website! what is the total surface area and the volume of a rectangular solid if the width is 3 cm, length 4 cm and diagonal length is square root of 29? ---------------- If it's the internal diagonal: d^2 = 3^2 + 4^2 + s^2 where s it the 3rd edge length d^2 = 25 + s^2 = 29 s = 2 ----- The solid is 2 by 3 by 4 SA = 2(2*3 + 2*4 + 3*4) = 2*26 SA = 52 sq cm

Systems-of-equations/712427: Solve by the elimination method. 4x+3y=0 8x+5=10y 1 solutions Answer 437945 by Alan3354(30965)   on 2013-02-09 12:22:14 (Show Source): You can put this solution on YOUR website! duplicate

Radicals/712443: solve each radical equation. Please help me i Don;t understand. 1 solutions Answer 437944 by Alan3354(30965)   on 2013-02-09 12:21:10 (Show Source): You can put this solution on YOUR website! solve each radical equation. ----------- Square both sides (3y+1) = 36 3y = 35 y = 35/3

Polynomials-and-rational-expressions/712441: Solve by the elimination method. 4x+3y=0 8x-10y=5 1 solutions Answer 437942 by Alan3354(30965)   on 2013-02-09 12:19:27 (Show Source): You can put this solution on YOUR website! Solve by the elimination method. 4x+3y=0 8x-10y=5 ------------ Multiply the 1st eqn by 2, then subtract.

Age_Word_Problems/712417: If a man is three times a woman's age when married but in twenty-one years will only be twice her age..how old are the man and the woman? 1 solutions Answer 437940 by Alan3354(30965)   on 2013-02-09 12:18:42 (Show Source): You can put this solution on YOUR website! If a man is three times a woman's age when married but in twenty-one years will only be twice her age..how old are the man and the woman? ---------- m = 3w m+21 = 2(w+21) m + 21 = 2w + 42 m = 2w + 21 3w = 2w + 21 w = 21 ---------- At marriage, w = 21, m = 63

Equations/712420: Can you please assist our fourth grade son with his Algebra? Thank you. 1. Which number makes this a true number sentence? Show your work. 397 + m > 412 A. 14 B. 9 C. 16 D. 15 2. Which number does NOT make this a true number sentence? Show your work. 480 - z < 459 A. 25 B. 42 C. 21 D. 22 1 solutions Answer 437927 by Alan3354(30965)   on 2013-02-09 11:19:20 (Show Source): You can put this solution on YOUR website! 1. Which number makes this a true number sentence? Show your work. 397 + m > 412 Subtract 397 m > 15 ========= A. 14 B. 9 C. 16 D. 15 2. Which number does NOT make this a true number sentence? Show your work. 480 - z < 459 Subtract 480 -z < -21 z > 21 --------- A. 25 B. 42 C. 21 D. 22 ------ A, B & D are greater than 21 C is not.

test/712415: 49a squared plus b cubed 1 solutions Answer 437926 by Alan3354(30965)   on 2013-02-09 11:16:10 (Show Source): You can put this solution on YOUR website! 49a squared plus b cubed -------------- Do you have a question?

Polynomials-and-rational-expressions/712416: Solve by the substitution method. 1/3x+1/5y=-4/5 1/3x+4y=3 1 solutions Answer 437921 by Alan3354(30965)   on 2013-02-09 10:56:16 (Show Source): You can put this solution on YOUR website! 1/3x+1/5y=-4/5 1/3x+4y=3 ============ 1/3x = -1/5y - 4/5 1/3x = -4y + 3 ------------------- Sub for (1/3)x -1/5y - 4/5 = -4y + 3 Multiply by 5 -y - 4 = -20y + 15 etc ------------- Elimination is the best method for these 2 equations.

Equations/712392: Please help me solve this equation: . 1 solutions Answer 437918 by Alan3354(30965)   on 2013-02-09 10:44:25 (Show Source): You can put this solution on YOUR website! x^3-63x-90= sqrt( 4 ) x^3-63x-90= 2 x^3-63x-92 = 0 ------------- Using graphical/numerical methods: x = -7.11568 x = -1.444686 x = +8.585768

Trigonometry-basics/712405: Prove that : csc x + 1 - csc x - 1 = 2 tan^2 (x) 1 solutions Answer 437907 by Alan3354(30965)   on 2013-02-09 09:01:53 (Show Source): You can put this solution on YOUR website! Prove that : csc x + 1 - csc x - 1 = 2 tan^2 (x) 0 = 2tan^2(x) ----------------- It doesn't.

Polynomials-and-rational-expressions/712294: How do u add 3x+2x+3/5x+2x+x 1 solutions Answer 437860 by Alan3354(30965)   on 2013-02-08 20:10:23 (Show Source): You can put this solution on YOUR website! How do u add 3x+2x+3/5x+2x+x --------------- Not sure what the question is. You add them. 3x + 2x = 5x etc

Travel_Word_Problems/712299: Here is the word problem: " A train has an average velocity of 60 km/hr. How long does it take the train to cover 45 kilometers?" could you please answer and explain the formula you used to solve the question? Thanks for the help! Meghan 1 solutions Answer 437859 by Alan3354(30965)   on 2013-02-08 20:09:08 (Show Source): You can put this solution on YOUR website! " A train has an average velocity of 60 km/hr. How long does it take the train to cover 45 kilometers?" ============================== d = r*t t = d/r

Linear-equations/712288: 1 solutions Answer 437853 by Alan3354(30965)   on 2013-02-08 19:18:07 (Show Source): You can put this solution on YOUR website! 2x+7y+3=0 x=7y-2 5x-4y=7y+3x can you please tell me how to convert these equations in slope intercept form? ------------- You solve for y. That's all.