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# Recent problems solved by 'Alan3354'

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 Angles/539636: two of the angles measures for a triangle are 54 and 35 what is the measure of the third angle 1 solutions Answer 353487 by Alan3354(30993)   on 2011-11-30 21:08:53 (Show Source): You can put this solution on YOUR website!Hint: the sum of the angles of a triangle is 180 degs
 Linear-systems/539622: Can you put these into y=mx+b x-y=0 5x-3y=10 and x-2y=1 5x-4y= -23 and 4x+3y=8 x-2y=13 and 2x+3y= -12 8x-5y=40 please and thank you1 solutions Answer 353483 by Alan3354(30993)   on 2011-11-30 20:56:52 (Show Source): You can put this solution on YOUR website!Just solve for y. Get y = ---------- whatever.
 Triangles/539586: Which three lengths CANNOT be lengths of the sides of a triangle? 23m,16m,10m 15m,13m,12m 18m,5m,10m 8m,8m,15m I believe 15m,13m,12m1 solutions Answer 353482 by Alan3354(30993)   on 2011-11-30 20:54:58 (Show Source): You can put this solution on YOUR website!Which three lengths CANNOT be lengths of the sides of a triangle? 23m,16m,10m 15m,13m,12m 18m,5m,10m 8m,8m,15m I believe 15m,13m,12m --------- Why that one? It's almost equilateral. --------- The longest side has to be more than the difference of the other 2 and less than the sum of the other 2.
 Travel_Word_Problems/539608: if i traveled 136 miles in two hours, what was my average speed1 solutions Answer 353479 by Alan3354(30993)   on 2011-11-30 20:52:47 (Show Source): You can put this solution on YOUR website!d = r*t r = d/t
 Linear-equations/539444: x=15 when y=12, find x when y=211 solutions Answer 353437 by Alan3354(30993)   on 2011-11-30 19:17:34 (Show Source): You can put this solution on YOUR website!Not enough info. How are x & y related?
 Parallelograms/539501: I am having trouble with number 45: http://s942.photobucket.com/albums/ad263/jc5211/?action=view¤t=untitled.png Do I just make 9x = 90? And then solve for x? And the same for z?1 solutions Answer 353436 by Alan3354(30993)   on 2011-11-30 19:15:41 (Show Source): You can put this solution on YOUR website!The link doesn't work.
 Evaluation_Word_Problems/539476: Anthony is building a toolbox with length 2 feet, width 1 foot, and height 3 feet. What are the dimensions of Anthony's box in inches? Can you please tell me what the answer to this is, or can you please help me solve it?1 solutions Answer 353435 by Alan3354(30993)   on 2011-11-30 19:13:04 (Show Source): You can put this solution on YOUR website!1 foot = 12 inches
 Trigonometry-basics/539489: how do i solve this equation without using a calculator? (cos (12 degrees)(cos (4 degrees) + (sin (12 degrees)(sin (4 degrees)= cos 16 degrees thank you my email is fangirl96@yahoo.com1 solutions Answer 353434 by Alan3354(30993)   on 2011-11-30 19:11:47 (Show Source): You can put this solution on YOUR website!It's an identity, nothing to solve.
 Functions/539498: What is the function of (0,1),(1,.5),(2,.25),(3,.125),(4,.0625) 1 solutions Answer 353433 by Alan3354(30993)   on 2011-11-30 19:10:54 (Show Source):
 Travel_Word_Problems/539485: Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours. a) write expression for time Juan takes to return home b) Write & solve an equation to find the time Juan spends driving to work1 solutions Answer 353431 by Alan3354(30993)   on 2011-11-30 19:05:28 (Show Source): You can put this solution on YOUR website!Juan drives to work, because of traffic conditions, he averages 22m/per hour. He returns home averaging 32 m/per hour. Total travel time= 2 and 1/4 hours. a) write expression for time Juan takes to return home Find the distance by finding the average speed for the round trip avg = 2*22*32/(22+32) mi/hr avg = 1408/54 = 704/27 mi/hr Round trip time = 2.25 hours d = r*t = 176/3 miles One-way = 88/3 miles ------------- time = d/r = (88/3)/22 = 4/3 hours b) Write & solve an equation to find the time Juan spends driving to work time = d/r = (88/3)/32 = 11/12 hours
 logarithm/539319: evaluate the expression log 9 + log 9/ ln 3- ln 81 solutions Answer 353402 by Alan3354(30993)   on 2011-11-30 15:58:25 (Show Source): You can put this solution on YOUR website!evaluate the expression log 9 + log 9/ ln 3- ln 8 ----------- = log(81)/ln(3/8) =~ -1.9458 if you really meant logs and natural logs
 Radicals/539323: Hello Find the distanct between (-7,-4) and (-5,2) I thought 108 sqrt 31 solutions Answer 353400 by Alan3354(30993)   on 2011-11-30 15:55:04 (Show Source): You can put this solution on YOUR website!Find the distanct between (-7,-4) and (-5,2) I thought 108 sqrt 3 ----------- = ------------ How did you get that?
 Radicals/539322: When dividing the two complex numbers 5+8i ---- 1+2i then the first step is? I said 5+8i 1-2i ------ * ---- 1+2i 1-2i1 solutions Answer 353399 by Alan3354(30993)   on 2011-11-30 15:53:07 (Show Source): You can put this solution on YOUR website!When dividing the two complex numbers 5+8i ---- 1+2i then the first step is? I said 5+8i 1-2i ------ * ---- 1+2i 1-2i ----------------- That's correct. Multiply NUM and DEN by the conjugate of the DEN. =
 Radicals/539264: h=-16t^2+46t+6 Find when the egg hit the ground. time in seconds / height of egg List ordered pairs (t,h) 0 / ? .5 / ? 1 / ? 1.5 / ? 2 / ? 2.5 / ? 3 / ?1 solutions Answer 353398 by Alan3354(30993)   on 2011-11-30 15:50:54 (Show Source): You can put this solution on YOUR website!duplicate, solved 2 times today (t,h) = (3,0) at impact ------------------------ Sub the value for t and find h: 0 / 6 --> (0,6) .5 / ? 1 / ? 1.5 / ? 2 / ? 2.5 / ? 3 / 0 --> (3,0) ---------------- Do the others the same way.
 Sequences-and-series/539317: The sum of three consecutive multiples of 3 is 342. Find these numbers.1 solutions Answer 353397 by Alan3354(30993)   on 2011-11-30 15:47:34 (Show Source): You can put this solution on YOUR website!342/3 = 114, the middle number
 Polygons/539245: If a regular poligon had an interior angle of 176 how many sides would it have1 solutions Answer 353395 by Alan3354(30993)   on 2011-11-30 15:45:11 (Show Source): You can put this solution on YOUR website!If a regular poligon had an interior angle of 176 how many sides would it have --------- The exterior angle is 4 degs (180 - 176) The sum of exterior angles for ALL polygons is 360. 360/4 = 90 sides
 Expressions-with-variables/539313: what is the coefficient of 3xto the power of 3 y 1 solutions Answer 353393 by Alan3354(30993)   on 2011-11-30 15:41:52 (Show Source):
 Money_Word_Problems/539306: find the effective rate of interest 10% compounded continuously 1 solutions Answer 353392 by Alan3354(30993)   on 2011-11-30 15:38:42 (Show Source): You can put this solution on YOUR website! =~ 10.52%
 Average/539310: Manuel's quiz scores are 76, 81, and 77. What grade must he get on his fourth quiz to get an average of 80?1 solutions Answer 353391 by Alan3354(30993)   on 2011-11-30 15:37:14 (Show Source): You can put this solution on YOUR website!Manuel's quiz scores are 76, 81, and 77. What grade must he get on his fourth quiz to get an average of 80? ------------- 76 + 81 + 77 = 234 4*80 = 320 320 - 234 = 86 needed ---------------------- or, (76 + 81 + 77 + s)/4 = 80 234 + s = 320 s = 86
 Systems-of-equations/539309: The difference of two numbers is 20. the sum of three times the first and four times the second is 18. find the two numbers. So far this is what I have: a-b=20 3a+4b=18 3(2)+4(3)=18 but 2-3 does NOT equal 20. I'm not sure how to figure this out.1 solutions Answer 353390 by Alan3354(30993)   on 2011-11-30 15:35:16 (Show Source): You can put this solution on YOUR website!The difference of two numbers is 20. the sum of three times the first and four times the second is 18. find the two numbers. So far this is what I have: a-b=20 3a+4b=18 3(2)+4(3)=18 but 2-3 does NOT equal 20. I'm not sure how to figure this out. ------------------ Where did you get the 2 & 3? -------------- a-b=20 --? a = b+20 3a+4b=18 3(b+20) + 4b = 18 3b+60 + 4b = 18 7b = -42 b = -6 ------- a = 14
 Quadratic_Equations/539269: Which of the following is the equation of the axis of symmetry of the quadratic equation y = 2(x – 4)2 + 7? 1 solutions Answer 353388 by Alan3354(30993)   on 2011-11-30 15:26:29 (Show Source): You can put this solution on YOUR website!It's x = 4
 Rectangles/539286: If a rectangle is 8 feet by 15 feet what is the lenght in feet? 1 solutions Answer 353387 by Alan3354(30993)   on 2011-11-30 15:19:23 (Show Source): You can put this solution on YOUR website!You said it's 15 feet. I'll go with that.
 Volume/539297: what is the volume of a hexagonal prism with the base 113 squared meters and height of 2 meters1 solutions Answer 353386 by Alan3354(30993)   on 2011-11-30 15:15:14 (Show Source): You can put this solution on YOUR website!Vol = area*h = 113*2 = 226 cubic meters
 Travel_Word_Problems/539293: I leave from michigan to san diego friday and my trip is 58 hours. When will i get there? 1 solutions Answer 353384 by Alan3354(30993)   on 2011-11-30 15:12:39 (Show Source): You can put this solution on YOUR website!Depends on when you leave. 58 hr = 2 days + 10 hours
 Polynomials-and-rational-expressions/539281: Find the x-intercepts and the vertex of the graph of the function. Then sketch the graph of the function. y = (x - 4)(x + 2) y = (x - 2)(x - 6) any help with this would be greatly appreciated, thanks.1 solutions Answer 353383 by Alan3354(30993)   on 2011-11-30 15:11:00 (Show Source): You can put this solution on YOUR website!Find the x-intercepts and the vertex of the graph of the function. Then sketch the graph of the function. ---------------- y = (x - 4)(x + 2) @ the y-int x = 0 y = (-4)*2 = -8 ----- @ the x-ints, y = 0 Either x-4 = 0 --> x = 4, or x+2 = 0 --> x = -2 ---------------------- y = (x - 2)(x - 6) Do it like the one above.
 Geometry_Word_Problems/539290: what day of the week is 263 days from monday?1 solutions Answer 353381 by Alan3354(30993)   on 2011-11-30 15:02:17 (Show Source): You can put this solution on YOUR website!263 MOD 7 = 4 (263 = 7*37 + 4) --> Friday
 Travel_Word_Problems/539272: In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up?1 solutions Answer 353378 by Alan3354(30993)   on 2011-11-30 14:52:53 (Show Source): You can put this solution on YOUR website!In a race, if a dog going 37 mph gets a headstart of 12 yards, how long will it take a dog going 38 mph to catch up? ----------- The difference in speed is 1 mi/hr = 22/15 ft/sec 12 yds = 36 ft --------- d = r*t t = d/r = 36/(22/15) = 270/11 seconds ~ 24.5 seconds ----------------- Note that the time would be the same if the speeds are both >0 and differ by 1 mi/hr.
 Coordinate-system/539278: Can anyone help me with this question? Please. Determine the rectangular coordinates for the following polar coordinate: (2, -pi)1 solutions Answer 353375 by Alan3354(30993)   on 2011-11-30 14:49:10 (Show Source): You can put this solution on YOUR website!Can anyone help me with this question? Please. Determine the rectangular coordinates for the following polar coordinate: (2, -pi) -------- -pi puts it on the x-axis in the negative direction --> (-2,0)
 Volume/539279: A typical box of cereal has demensions 40 cm by 30 cm by 5 cm. Determine the dimensions of a cylindrical container that can hold the same amount of cereal.1 solutions Answer 353374 by Alan3354(30993)   on 2011-11-30 14:47:32 (Show Source): You can put this solution on YOUR website!A typical box of cereal has demensions 40 cm by 30 cm by 5 cm. Determine the dimensions of a cylindrical container that can hold the same amount of cereal. -------------- Vol = 40*30*5 = 6000 cc ----- For a cylinder, Pick a radius, solve for h
Radicals/539258: Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
time in seconds / height of egg
0 / ?
.5 / ?
1 / ?
1.5 / ?
2 / ?
2.5 / ?
3 / ?
1 solutions

Answer 353364 by Alan3354(30993)   on 2011-11-30 14:00:20 (Show Source):
You can put this solution on YOUR website!
Suppose you throw an egg vertically into the air from a height of 6 feet above the ground at an initial velocity of 46 feet per second.
h=-16t^2+46t+6 Find when the egg hit the ground.
----------------
It hits the ground when h = 0.
-----
h=-16t^2+46t+6 = 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=2500 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -0.125, 3. Here's your graph:

-------------
t = x
Ignore the negative solution.
t = 3 seconds

 Quadratic-relations-and-conic-sections/539038: im having a difficulty in solving this problem. your help is highly appreciated. a point moves so that its distance from the point 4,0 is always one half its distance from the line x-16=0. find the equation of its locus1 solutions Answer 353363 by Alan3354(30993)   on 2011-11-30 13:55:19 (Show Source): You can put this solution on YOUR website!The other tutor's solution gives an ellipse, which is obviously not right. --------- So far, I get the same answer, tho. More later. -------------- Every point that I check on the ellipse fits. I expected a parabola. The eqn is