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# Recent problems solved by 'scott8148'

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 Percentage-and-ratio-word-problems/619483: The ratio of the perimeters of two similar hexagons is 5:8. The area of the larger hexagon is 320 square inches. What is the area of the smaller hexagon??1 solutions Answer 389688 by scott8148(6628)   on 2012-06-10 19:57:39 (Show Source): You can put this solution on YOUR website!the ratio of the areas is equal to the ratio of the perimeters, squared a1:a2 = (5:8)^2 = 25:64
 �t�e�s�t/619467: i know that a squared plus b squared equals c squared and I understand that (here is a problem that i made up) if side A is 5 feet and side B is 12 feet that it would come out to 144 + 25 which equals 169 and that that is side C and the hypotenuse but then, do you add 169 together or multiply it together but Im confused what to do after you add side A and B together. Please help. Thanks so much1 solutions Answer 389670 by scott8148(6628)   on 2012-06-10 16:32:04 (Show Source): You can put this solution on YOUR website!169 is the hypotenuse SQUARED ___ take the square root to find the hypotenuse (in this case, 13)
 Pythagorean-theorem/619429: thank you for your assitance-- i have had a llittle trouble in firguring out these type pythagoreum problems-- i am in my math book from school--i am older soon returning to school- so again thank you for saving me time from sitting here all day, literally trying to guess!! (charuethornhill@att.net) thank you again. ok it says: there are two vertical poles of length 6 feet and 8feet stand 10 feet apart. a cable reaches from the top of one pole to some point on the ground between the poles and then to the top of the other pole. where should this point be located use 18 feet cable, the answers are 1.2 feet or 7.5 feet, i am aware of the P thereom thing, but still cannot figure out what going to produce 1,2 or 7.,5 thanks.1 solutions Answer 389668 by scott8148(6628)   on 2012-06-10 16:03:01 (Show Source): You can put this solution on YOUR website!the 18 ft of cable is the sum of the two hypotenuses of the triangles formed when the cable is strung if the cable is anchored x ft from the 6 ft pole ___ sqrt(6^2 + x^2) + sqrt[8^2 + (10 - x)^2] = 18 rather than solving this formidable equation; I would suggest substituting the choices to find the solution(s) ___ there may be more than one also; since the question didn't specify the location, you may be looking for 10-x rather than x good luck going back to school
 Numbers_Word_Problems/619299: two numbers are in the ratio 5:6. if the sum of the numbers is 66, find the value of the larger integer1 solutions Answer 389542 by scott8148(6628)   on 2012-06-09 20:26:19 (Show Source): You can put this solution on YOUR website!5k + 6k = 66 k = 6 30 : 36
 Triangles/619297: can you explain to me how to figure out this problem? the ratio of the sides of a triangle is 3: 5: 6. if the longest side is 8 inches, what is the length of the shortest side? thank you.1 solutions Answer 389541 by scott8148(6628)   on 2012-06-09 20:24:04 (Show Source): You can put this solution on YOUR website!the smallest value in the ratio is half of the largest value this is also the relationship between the longest and shortest sides
 Quadratic_Equations/619280: During the first part of a trip, a canoeist travels 35 miles at a certain speed. The canoeist travels 14 miles on the second part or the trip at a speed 5 mph slower. The total time for the trip is 2 hours. What is the speed on each part of the trip? (not understanding how to put this together!)1 solutions Answer 389514 by scott8148(6628)   on 2012-06-09 18:13:36 (Show Source): You can put this solution on YOUR website!(35 / s) + [14 / (s - 5)] = 2
 Quadratic-relations-and-conic-sections/619254: Write the equation of the circle in standard form and identify the center and radius. x^2+y^2-2x+6y+9=01 solutions Answer 389496 by scott8148(6628)   on 2012-06-09 15:59:58 (Show Source): You can put this solution on YOUR website!(x - 1)^2 + (y + 3)^2 = 1^2
 Triangles/619246: A triangle has the following measurements. What is a possible length for the third side? AB = 5, BC = 7, CA = ? A. 2 B. 12 C. 5 D. 131 solutions Answer 389494 by scott8148(6628)   on 2012-06-09 15:40:06 (Show Source): You can put this solution on YOUR website!7-5 < x < 7+5
 Permutations/619244: in how many ways can a four letter set of words be formed using the vowels, a,e,i,o,u, assuming that repetitions are allowed? n = 5 r = 4 nCr = 5!/r!(n-r)! 5! = 120 4! = 24 n-r = 1 nCr = 120/24*1 = 5 Is the problem with the 5? This can't be right1 solutions Answer 389493 by scott8148(6628)   on 2012-06-09 15:36:37 (Show Source): You can put this solution on YOUR website!no, it isn't ... you're overthinking "repetitions are allowed" ___ four letters, each letter can be any one of 5 choices ___ 5^4
 Rational-functions/619225: Please help me solve this equation: (c-d)/((1/d)-(1/c)) I know the answer is cd but I'm not sure what steps were taken to get to that answer.1 solutions Answer 389492 by scott8148(6628)   on 2012-06-09 15:24:30 (Show Source): You can put this solution on YOUR website! * = = = cd
 Rate-of-work-word-problems/619220: Joe can do a job in 12 days after he has worked for 4 days he is joined by Casey and it takes them 2 days working together to finish the job. How long would it take Casey to do the whole job herself. THIS IS WHAT I DID Joe time + Casey time = both working together, but they only do 1/2 the job in a day 4(1/12) + 1/X = (1 - 4/12)/2 I get an answer of no solution so my problem must be set up wrong. Can you help?1 solutions Answer 389475 by scott8148(6628)   on 2012-06-09 12:58:15 (Show Source): You can put this solution on YOUR website!Joe finished 1/3 of the job before Casey came, so they finished 2/3 together (2/12) + (2/C) = 2/3 in the 2 days they work together, Joe does another 1/6 of the job (so he does 1/2 total) ___ this means Casey does 1/2 of the job in 2 days
 Trigonometry-basics/619215: I am using a texas instrument TI-84 Plus calculator, the problem I would like answered is, find the value of the indicated trigometric function. Find tangent theta, given secant theta = 1.3698 find tan theta, given sec theta = 1.3698 1 solutions Answer 389469 by scott8148(6628)   on 2012-06-09 12:29:18 (Show Source): You can put this solution on YOUR website!the secant is the inverse of the cosine 1/1.3698 will give you cos(theta) there is also an identity ___ tan^2 = sec^2 - 1 either way should give the solution
 Travel_Word_Problems/619211: Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass before the second cyclist catches up with the first from the time the second cyclist started biking? How do i even approach this problem?1 solutions Answer 389463 by scott8148(6628)   on 2012-06-09 12:08:28 (Show Source): You can put this solution on YOUR website!the 1st cyclist goes for 3 hr at 6 mph before the 2nd cyclist starts, so the 1st has a headstart of ____ miles the 2nd's speed is 10 mph while the 1st's speed is 6 mph, so the 2nd closes the gap at ____ mph closing the ____ mile gap at ____ mph takes the 2nd cyclist ____ hr
 Geometry_Word_Problems/619210: I would just like to know the steps to solve this problem: A square's side is increased by 2 yards, which corresponds to an increase in the area by 36 square yards. How many yards is the side of the initial square? Thank you!1 solutions Answer 389460 by scott8148(6628)   on 2012-06-09 12:00:58 (Show Source): You can put this solution on YOUR website!(s + 2)^2 - s^2 = 36
 Triangles/619122: The figure below shows two congruent triangular parks with Angle ABC congruent to angle DEF.. Triangle ABC has AB = 10 m, BC = 12 m, and AC = (3x-15) m. Triangle DEF has DE = 10 m, EF = 12 m, and DF = (x-1) m. The measure of angle ABC is equal to the measure of angle DEF. What is the value of x? i have tried (3x-15) (x-1) and got 2x-15 but im not sure if thats right1 solutions Answer 389378 by scott8148(6628)   on 2012-06-08 20:31:33 (Show Source): You can put this solution on YOUR website!the two sides are congruent 3x - 15 = x - 1
 Trigonometry-basics/619100: please help me: in general. how do you know what direction to add or sub tract to find the ref angle: example what is the ref angle of -6pie/5 or 264 degrees. i feel subtracting 264-360 might make this one 96?1 solutions Answer 389364 by scott8148(6628)   on 2012-06-08 18:58:05 (Show Source): You can put this solution on YOUR website!0º ≤ reference angle ≤ 90º the reference angle is referenced from the horizontal (x) axis 264º - 180º = 84º
 Trigonometry-basics/619103: please help me how would i solve: Use the fact that tan(beta)=4 to find: cot(beta),cos(beta)sec(beta) and csc(beta)1 solutions Answer 389360 by scott8148(6628)   on 2012-06-08 18:51:22 (Show Source): You can put this solution on YOUR website!tan is the ratio of the two legs if the legs are 4 and 1; then (by Pythagoras) the hypotenuse is √17 cot = 1 / tan cos = 1 / √17 sec = 1 / cos csc = √17 / 4
 Trigonometry-basics/619105: please help: the height of a radio transmission tower is 70 meters and casts a shadow of 30 meters. draw a diagram & find the angle of elevation of the sun? i understand u may not be able to draw the diagram. thanks:)1 solutions Answer 389358 by scott8148(6628)   on 2012-06-08 18:45:23 (Show Source): You can put this solution on YOUR website!the TANGENT of the angle of elevation is the height of the tower divided by the length of the shadow
 Rate-of-work-word-problems/619037: Brett can paint a room in exactly 6 hours. If Dave helps him, they can paint it in exactly 4 hours. How long would it take Dave to paint the room alone1 solutions Answer 389295 by scott8148(6628)   on 2012-06-08 14:58:09 (Show Source): You can put this solution on YOUR website!in the 4 hrs that they work together, Brett paints 2/3 of the room (4 hr / 6 hr) so it takes Dave 4 hr to paint 1/3 of the room how long to paint 3/3 (the whole room)?
 Bodies-in-space/619035: if a cylindrical jug is 20cm in height and has a capacity of one litre . . . what is its diameter??1 solutions Answer 389294 by scott8148(6628)   on 2012-06-08 14:54:51 (Show Source): You can put this solution on YOUR website!a litre is 1000 cm^3 pi * d^2 / 4 = 50 cm^2
 Linear-equations/618861: throught (-1, -4), perpendicualr to 7x-3y=51 solutions Answer 389164 by scott8148(6628)   on 2012-06-07 19:12:34 (Show Source): You can put this solution on YOUR website!swap the x and y coefficients and change one of the signs to get the perpendicular plug in the given point to find the new constant term 3x + 7y = ? ___ 3(-1) + 7(-4) = -31 3x + 7y = -31
 Triangles/618798: two sides of a triangle have lengths 10 and 15 what must be true about length of the third side1 solutions Answer 389153 by scott8148(6628)   on 2012-06-07 18:06:21 (Show Source): You can put this solution on YOUR website!(15 - 10) < x < (15 + 10)
 logarithm/618791: Please help me solve these: (a): log[x](6)=(1)/(2) and (b): log[x](3)=(1)/(3). I was asked to find x. Thanks very much.1 solutions Answer 389152 by scott8148(6628)   on 2012-06-07 18:02:59 (Show Source): You can put this solution on YOUR website!(a) x^(1/2) = 6 ___ [x^(1/2)]^2 = 6^2 ___ x = 36 (b) x^(1/3) = 3 ___ [x^(1/3)]^3 = 3^3 ___ x = 27
 Travel_Word_Problems/618566: A plane can fly 480 miles in the same time as it takes a car to go 210 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.1 solutions Answer 389131 by scott8148(6628)   on 2012-06-07 16:11:13 (Show Source): You can put this solution on YOUR website!t = d / r 480 / p = 210 / (p - 90) "cross" multiplying ___ 480p - (90 * 480) = 210p 270p = 90 * 480
 Rate-of-work-word-problems/618556: If Mark can do a job in 7 hours, and John can do it in 10 hours, how long will it take them to do it together?1 solutions Answer 389130 by scott8148(6628)   on 2012-06-07 16:05:35 (Show Source): You can put this solution on YOUR website!(x / 7) + (x / 10) = 1
 Geometry_Word_Problems/618546: The area of a rectangle is 240in squared. The ratio of the width to the length is 3:5. Find the Length and the Width. 1 solutions Answer 389129 by scott8148(6628)   on 2012-06-07 16:02:19 (Show Source): You can put this solution on YOUR website!3k * 5k = 15k^2 = 240 k^2 = 16 ___ k = 4 3k = 12 5k = 20
 Polynomials-and-rational-expressions/618541: 6a^2-50ab+16b^2 i don't know where to start1 solutions Answer 389127 by scott8148(6628)   on 2012-06-07 15:59:18 (Show Source): You can put this solution on YOUR website!common factors 1st ___ 2(3a^2 - 25ab + 8b^2) 2(3a - b)(a - 8b)
 Evaluation_Word_Problems/618539: in checking records finds that crew A can pave a contract length of highway in 8 hours. Crew B can do the same job in 10 hours. how long would it take if they worked together? 1 solutions Answer 389123 by scott8148(6628)   on 2012-06-07 15:55:38 (Show Source): You can put this solution on YOUR website!(x / 8) + (x / 10) = 1
 Equations/618525: Lauren, Michael and Quinn entered a pie-eating contest. Lauren ate twice the pies that Michael ate and Quinn ate four more pies than Michael. If Lauren and Quinn ate the same amount of pies, how many pies did each person eat?1 solutions Answer 389122 by scott8148(6628)   on 2012-06-07 15:53:06 (Show Source): You can put this solution on YOUR website!L = 2M Q = M + 4 L = Q substituting ___ 2M = M + 4 solve for M, then substitute back to find L and Q
 Equations/618523: the smaller of 2 numbers is three less than the larger. twice the larger plus four times the smaller is 36. find both numbers1 solutions Answer 389121 by scott8148(6628)   on 2012-06-07 15:48:59 (Show Source): You can put this solution on YOUR website!x = y - 3 4x + 2y = 36 ___ 2x + y = 18 substituting ___ 2(y - 3) + y = 18 ___ 3y = 24 solve for y, then substitute back to find x
 Permutations/618482: seven boys and 8 girls want to participate in a school play. In how many ways can a cast be selected if it must have 4 boys and 5 girls. 1 solutions Answer 389120 by scott8148(6628)   on 2012-06-07 15:41:38 (Show Source): You can put this solution on YOUR website!4 boys from 7 ___ 7C4 5 girls from 8 ___ 8C5 number of possible casts ___ 7C4 * 8C5