what are longs in math?
459113
I'm not sure on the context here, but one answer deals with numeration models typically used to teach children about number systems. In a base-10 model, one might use units, longs and flats. A long is simply a "10x1" rectangle used to represent 10 units. A unit is, well, a unit and a flat is a "10x10" square- used to represent 100. Also, a common object that arises is a long-flat: 10 flats placed end-to-end to represent 1000. Is this the context you wanted?
467125
Egyptian multiplication (quite different from ours!)\n\nFractions (again treated somewhat differently than we do, since they only used fractions with 1 in the numerator)\n\nVarious short algebra and geometry questions (like "A quantity added to a quarter of that quantity become 15. What is the quantity?")
620468
Theta usually designates an angle. Radians are one means of measuring angles. Your question is equivalent to asking how to convert from inches to length.
1166850
a long bow is six feet long.  that's why it's called a long bow, as opposed to just another bow.
309782
You are attempting to find the diagonal of a square with 5 on a side. The answer is obviously 5*√(2). C, the hypotenuse of a right triangle, is the longest side of the said triangle. Therefore, C must be larger than 5 in your particular problem. Hence, the first two answers are incorrect.\n\nExample:\nIn general, a square with sides of length x has a diagonal of length x*√(2).\n\na^2 + b^2 = c^2\nx^2 + x^2 = c^2\n2*x^2 = c^2\n√(2*x^2) = √(c^2)\n√(x^2)*√(2) = c\nx*√(2) = c\n\nIf x = 5, then c = 5*√(2).
396361
Pythagorean triples are integer length sides of right triangles.\n\nIts in the form of (t^2 - s^2, 2st, t^2 + s^2)\n\nusing that can create another right triangle.\n\nSorry, but thats about all i could dig up. I'm not really all that familiar with P.T.
923186
You have to use the Pythagorean Theorem.  It says the lengths of the two short sides of a right triangle squared, then added together, equal the length of the long side squared.  Picture a triangle on your sheet of graph paper.  One leg goes from point P straight left to 2,4.  The second goes from 2,4 straight down to Q.  The third connects P and Q and is the longest of the three legs.  The length of the first leg is 2.  The length of the second is 5 (or -5 if you like; it doesn't matter since we're fixing to square it).  The lengths squared are 25 and 4.  So the distance between P and Q squared is 29.  The distance is root(29), which is 5.385.  That's your answer.
68097
do you mean things as far as max and mins, asymptotes and things like that?\n\nif you are a little more specific i can help you better, or e-mail me, it would be a little easier  matttlocke@yahoo.com
624769
You can use sin and cosine.
105824
Trigonometry.  The good old days when I still loved math... ahhh!
1151693
C.\n\n[delta]L = L0 x [alpha] x [delta]T\n\n[alpha] is the coeff. of linear expansion (23.6 x 10^6 for Al) \n\nor [delta]L = 1.2 x 23.6 x 10^6 x (65 - 15)\n\nor [delta]L = 1.2 x 23.6 x 10^6 x 50\n\nor [delta]L = 0.001416 m\n\nSo, the final length is: 1.2 + 0.001416 = 1.201416 m
890883
1)One leg of a right triangle is 12 cm long. The diference between the other two sides is 2 cm.\nFind the sides of the triangle. (Pythagorean Theorem)\n\nWhat we can take from this problem is that one LEG is 12 cm long, while the other LEG is unknown (we will call it X) and the HYPOTENUSE -- the longest side of a right triangle -- is also unknown (we will designate it X+2, since it differs 2 cm from the unknown leg).\n\nSetting up Pythagorean Theorem as always:\n\n "Leg squared" + "Leg squared" = "Hypotenuse squared"\n\n  12^2 + x^2 = (x+2)^2\n\nExpanding:\n\n  144 + x^2 = x^2 + 4x + 4\n\nCollecting like terms:\n\n  4x = 140\n\nDivide by 4:\n\n   x = 35\n\nThe unknown leg is 35 cm, while the hypotenuse is 37.  Thus, we can also call the triplet (12,35,37) a "Pythagorean Triple" (of which there are infinitely many!).\n\n\n2) The hypotenuse of a right triangle is 58 cm long. The diference between the other two sides\nis 2 cm. Find the sides of the triangle. (Pythagorean Theorem\n\nIn this case, we know the hypotenuse, but do not know the lengths of the legs.  For convenience, we will again use the expressions X and (X+2) for each side's length.\n\nBy P.T.:\n\n x^2 + (x+2)^2 = 58^2\n\nExpanding:\n\n x^2 + x^2 + 4x + 4 = 3364\n\nCollect like terms:\n\n 2 x^2 + 4x - 3360 = 0\n\nDivide by the GCF (2):\n\n  x^2 + 2x - 1680 = 0\n\nCan we factor this trinomial easily?  We could, if we knew integer factors of -1680 (one positive, one negative) that combine to make 2.\n\nLuckily, -1680 can be factored into -2*2*2*2*3*5*7, and these can be grouped into two sets:\n      2*3*7 = 42\n -2*2*2*5 = -40\n\nFactor:\n\n (x+42) (x-40) = 0\n\nAlthough two solutions come from these factors (-42 and 40), we may only consider the positive answer, since lengths of triangle's legs are always positive!\n\n Therefore, x=40 (Leg 1), and Leg 2 is 42 cm.
1109720
Simple answer: Any non-square rectangle can have a line drawn within it parallel to the short side that partitions it into a square and a smaller rectangle. If the long side of the rectangle is a and the short side is b, the new rectangle will have dimensions of b x (a-b). If this is not obvious to you, remember that one side of the rectangle is the side of the square (which has dimensions b x b), and the other is the part of the long side which is not occupied by the square (thus having a length equal to the length of the long side minus the length of the square). \n\nNow, some rectangles, when so partitioned, have the property that the new rectangle formed by the partition will have the same ratio between the lengths of its sides as the original rectangle. That is, a/b = b/(a-b). Such rectangles are called golden rectangles, and the ratio of the sides of a golden rectangle is called the golden ratio.\n\nThe golden ratio is easily shown to be both irrational and algebraic. Irrationality is proven by contradiction: note that all rational numbers can be represented in lowest terms - that is, as the ratio of two integers that have no common factors other than 1. However, the golden ratio cannot be represented in lowest terms, since if some ratio a/b were a representation in lowest terms, b/(a-b) would be a valid representation in even lower terms, which contradicts our statement that a/b is in lowest terms. Q.E.D.\n\nComputing the golden ratio is done by solving the equation we provided: a/b = b/(a-b). We arbitrarily choose b to be 1 - we could let b be anything, but letting b be 1 makes the ratio a/b much easier to compute, since it will simply be equal to a. Thus we have a=1/(a-1). Multiplying, we get a(a-1)=1 and from that a² - a = 1 Putting this in standard form, we have a² - a - 1 = 0, which shows that the golden ratio is algebraic, since our formula for computing it IS a polynomial - this stands in contrast to many other fundamental constants like pi and e, which cannot be expressed as a root of any polynomial of any degree (that is, they are non-algebraic).\n\nCompleting the square then yeilds:\n\na² - a - 1 = 0\na² - a + 1/4  = 5/4\n(a - 1/2)² = 5/4\na - 1/2 = ±√(5)/2\na = (1 ± √5)/2\n\nHowever, since the golden ratio is a ratio of lengths, and all lengths are positive, we know that it cannot be (1 - √5)/2, since that is negative. Thus the golden ratio is (1 + √5)/2 exactly.
851794
Most commonly when taking something that is expressed as a radical or other irrational number and you turn it into a decimal approximation.\n\nFor example:\n2 + x² = 5\nx² = 3\nx ≈± 1.732\n\nProblems involving pi, for example often need you to use the "almost equal to sign"\n\nRadius = 9 ft.\nArea of the circle = 81π ≈ 254.47 sq. ft.\n\nOr if you do a lot of computations and get to a long value and need to reduce it to significant digits, you might do that too.\n\n5 x 10^7 * 3.521827 + 4.4123123 ≈ 180 million
889039
They are called special characters. They are created by holding down the "alt" key and entering a series of numbers. \n\nFor instance:\n\n Alt + 1 =☺\n Alt + 3 = ♥\n Alt + 4 = ♦\n Alt + 251 = √\n Alt + 0134 = †\n Alt + 0189 = ½
375776
In a square: multiply lenght by wittd.\n\nIt all revolves around that\n\nTriangle: base * height /2\n\nCircle: pi ( the matematical value - 3.1416 ) * radius^2\n\nThose are the basic formulae
569568
why is long such a short word ?