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  • ...</math> and <math>\overline{DE}</math> is a second diameter. What is the [[ratio]] of the area of <math>\triangle DCE</math> to the area of <math>\triangle ...gles are diameters of the circle. Hence the ratio of the areas is just the ratio of the heights of the triangles, or <math>\frac{CF}{CD}</math> (<math>F</ma
    14 KB (1,970 words) - 16:02, 18 August 2023
  • /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra * /* modified Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra *
    15 KB (2,057 words) - 18:13, 10 March 2015
  • ...at Jupiter Falls University where she researches biomass (renewable fuel) conversion rates. Michael is their oldest child, and Wendy their oldest daughter. Tony ...of pollution filtered, find <math>a+b</math> where <math>a/b</math> is the ratio in lowest
    71 KB (11,749 words) - 11:39, 20 November 2024
  • ...divides region <math>\mathcal{R}</math> into two regions with areas in the ratio <math>1: 2</math>. Suppose that <math>AU = 84</math>, <math>AN = 126</math> <center><asy> /* geogebra conversion, see azjps userscripts.org/scripts/show/72997 */
    10 KB (1,418 words) - 22:05, 20 October 2021
  • ...ch that <math>\angle APC = 2\angle ACP</math> and <math>CP = 1</math>. The ratio <math>\frac{AP}{BP}</math> can be represented in the form <math>p + q\sqrt{ <center><asy> /* geogebra conversion, see azjps userscripts.org/scripts/show/72997 */
    10 KB (1,507 words) - 23:31, 18 November 2023
  • ...rac{400 \text{ euros}}{500 \text{ dollars}}</math> can be simplified using conversion factors:<cmath>\frac{400 \text{ euros}}{500 \text{ dollars}} \cdot \frac{1.
    1 KB (155 words) - 06:18, 29 June 2023
  • /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra * ...while <math>\Delta CDF</math> is similar to <math>\Delta ABC</math> with a ratio of <math>3:4</math>. Then the area of <math>\Delta ADE = \frac{S}{16}</math
    7 KB (1,069 words) - 13:04, 27 December 2012
  • ...th>\text{7:50}</math> at the former <math>\text{6:00}</math> PM. After the conversion, a person who wanted to wake up at the equivalent of the former <math>\text ...in a day , and <math>10 \cdot 100=1000</math> metric minutes in a day. The ratio of normal to metric minutes in a day is <math>\frac{1440}{1000}</math>, whi
    2 KB (337 words) - 18:03, 3 September 2023
  • ...ratio of dilation must be equal to <math>\dfrac{3}{2}</math>, which is the ratio of the radii of the circles. Thus, we are looking for a point <math>(x,y)</ <asy> /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra *
    8 KB (1,011 words) - 10:57, 28 February 2024
  • A '''rate''' is a type of [[ratio]] where something of one unit is compared with something else of another un Unit cancellation is a common strategy used in rate and conversion problems where if there are two instances of a unit written -- one on the n
    751 bytes (108 words) - 21:08, 7 September 2020
  • A '''percent''' is a type of [[ratio]] where something is compared to a hundred. Probabilities, scores, and suc ==Conversion to Fractions and Decimals==
    3 KB (403 words) - 18:36, 7 December 2023
  • /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki, go to User:Azjps/geogebra * ...>, the ratio of the sides is <math>\frac{\sqrt{74}}{4}</math>, meaning the ratio of the areas is thus <math>{(\frac{\sqrt{74}}{4})}^2 \implies \frac{74}{16}
    7 KB (986 words) - 20:44, 30 September 2024
  • .... The area of <math>S</math> is <math>\dfrac{4}{49}</math> and the desired ratio is <math>\dfrac{6-\tfrac{4}{49}}{6}=\boxed{\textbf{(D) } \frac{145}{147}}</ Now comes the easy part--finding the ratio of the areas: <math>\frac{3\cdot 4 \cdot \frac{1}{2} -\frac{4}{49}}{3\cdot
    17 KB (2,623 words) - 23:41, 30 October 2024
  • ...e) that <math>\triangle AEF \sim \triangle ABC</math>, so we must have the ratio of similitude is <math>2</math>. In particular, <cmath>AB=2 \cdot AE, AC=2 /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */
    10 KB (1,536 words) - 19:27, 12 April 2021
  • ...second container was <math>\tfrac{3}{4}</math> full of water. What is the ratio of the volume of the first container to the volume of the second container? /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */
    16 KB (2,480 words) - 17:31, 16 June 2024
  • /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */ ...and <math>\triangle M_AM_BM_C</math> are homothetic at <math>I</math> with ratio <math>2</math>.
    37 KB (5,512 words) - 05:56, 3 August 2024
  • /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */ Next, since <math>E</math> balances <math>B</math> and <math>D</math> in a ratio of <math>BE:DE=1:1</math>, we know that <math>B=D=3</math>. Similarly, by m
    27 KB (4,265 words) - 00:25, 9 December 2024
  • ...vert from one unit of measurement to another. These ratios are known as '''conversion factors'''. .../math> feet. Since we know there are <math>12</math> inches in a foot, our conversion factor is <math>\frac{12\text{ inches}}{1\text{ feet}}</math>. Thus, there
    564 bytes (85 words) - 18:36, 19 September 2020
  • ...>. Let <math>AE</math> intersect <math>BC</math> at <math>F</math>. If the ratio <math>\tfrac{FC}{BF}</math> can be expressed as <math>\tfrac{m}{n}</math> w /* Geogebra to Asymptote conversion, documentation at artofproblemsolving.com/Wiki go to User:Azjps/geogebra */
    7 KB (744 words) - 20:18, 11 July 2021