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- ...formula) is a [[mathematical formula | formula]] for finding the [[area]] of a [[triangle]] given only the three side lengths. The [[Law of Cosines]] states that in triangle <math>ABC</math>, <math>c^2 = a^2 + b^2 -5 KB (783 words) - 17:58, 1 January 2025
- ..., since the rationals are dense on the real line, we, surely, can make the difference between <math>x</math> and its rational approximation <math>\frac pq</math> ...gh, it is possible, if not for all <math>q</math>, then, at least for some of them.7 KB (1,290 words) - 11:18, 30 May 2019
- What is the value of <cmath>\dfrac{20}{2\cdot1} - \dfrac{2+0}{2/1}?</cmath> .../math> How can <math>|\pi - |e - | e - \pi|||</math> be expressed in terms of <math>\pi</math> and <math>e?</math>12 KB (1,784 words) - 15:49, 1 April 2021
- ...n the sum of the first <math>2003</math> even counting numbers and the sum of the first <math>2003</math> odd counting numbers? ...member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is $2366, how many13 KB (1,955 words) - 20:06, 19 August 2023
- ...although not necessarily in that order. What is the maximum possible value of the result? ...re positive integers for which <math>2^x3^y=1296</math>, what is the value of <math>x+y</math>?13 KB (2,049 words) - 12:03, 19 February 2020
- The ratio of Mary's age to Alice's age is <math>3:5</math>. Alice is <math>30</math> yea ...splays hours and minutes with AM and PM. What is the largest possible sum of the digits in the display?13 KB (2,028 words) - 15:32, 22 March 2022
- ...math> be the area of the region inside circle <math> C </math> and outside of the six circles in the ring. Find <math> \lfloor K \rfloor. </math> .../math> is the sequence <math> 1,4,7,10,\ldots. </math> For how many values of <math> k </math> does <math> S_k </math> contain the term 2005?6 KB (983 words) - 04:06, 20 February 2019
- ...ct convex polygons of three or more sides can be drawn using some (or all) of the ten points as vertices? ...+c+d+e^{}_{}</math> is a perfect cube, what is the smallest possible value of <math>c^{}_{}</math>?7 KB (1,045 words) - 00:18, 5 January 2025
- ...h>. We can factor the left-hand side of this [[equation]] as a difference of two squares, <math>(s - t^2)(s + t^2) = 19</math>. 19 is a [[prime number]1 KB (222 words) - 10:04, 4 November 2022
- Find the value of <math>(52+6\sqrt{43})^{3/2}-(52-6\sqrt{43})^{3/2}</math>. ...{43}</math>. This implies that <math>a</math> and <math>b</math> equal one of <math>\pm3, \pm1</math>. The possible [[set]]s are <math>(3,1)</math> and <5 KB (765 words) - 22:00, 26 August 2023
- ...ath> are positive integers and <math>p</math> is not divisible by the cube of any prime number. Find <math>m + n + p</math>. ...e <math>\frac{\left(1-\left(\frac{3}{4}\right)^{3}\right)^{1/3}}{1}</math> of the height when the vertex is at the top.4 KB (677 words) - 15:33, 30 December 2023
- ...s <math>2</math> greater than <math>p</math>. What is the arithmetic mean of the two primes in the smallest twin prime pair? ...al number that's proper divisors sum is greater than the number. Which one of the following natural numbers is an abundant number?30 KB (4,794 words) - 22:00, 8 May 2024
- ...th> of his bill and Joe tipped <math>20\%</math> of his bill. What was the difference, in dollars between their bills? For each pair of real numbers <math>a \neq b</math>, define the [[operation]] <math>\star</m14 KB (2,026 words) - 10:45, 12 July 2021
- ...n the sum of the first <math>2003</math> even counting numbers and the sum of the first <math>2003</math> odd counting numbers? ...member needs one pair of socks and a shirt for home games and another pair of socks and a shirt for away games. If the total cost is $2366, how many13 KB (1,900 words) - 21:27, 6 January 2021
- ...nd 88 on her first three mathematics examinations. If Kim receives a score of 90 on the fourth exam, then her average will ...<math>\textdollar 29.98</math> and a one-time shipping and handling charge of <math>\textdollar 9.98</math>. How many cents are saved by buying the appli17 KB (2,387 words) - 21:44, 26 May 2021
- Each of the three diagrams in the image show a balance of weights using different objects. How many squares will balance a circle? /* end of picture */15 KB (2,057 words) - 18:13, 10 March 2015
- The area of polygon <math>ABCDEF</math>, in square units, is ...grading period. If A, B, C, and D are satisfactory grades, what fraction of the grades shown in the graph are satisfactory?12 KB (1,670 words) - 15:59, 30 January 2025
- :(i) <math>n^2</math> can be expressed as the difference of two consecutive cubes; ...[[relatively prime]]. But since their product is three times a square, one of them must be a square and the other three times a square. We cannot have <m4 KB (628 words) - 15:23, 2 January 2024
- ...es are placed, without rotating or reflecting, in position as below. Which of the rectangle is the top leftmost one? ...(C+D)</math> is an integer that is as large as possible, what is the value of <math>A+B</math>?15 KB (2,222 words) - 09:40, 11 August 2020
- ...ave by buying a family pass over buying single day passes for every member of the family? ...ments to estimate the width of the yard. If there are six trees in the row of trees, what is Tony's estimate in feet?71 KB (11,749 words) - 11:39, 20 November 2024