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- ...described in [[Cartesian coordinates]] by a [[polynomial]] [[equation]] of degree two or less. ...cutting plane makes an [[angle]] with an [[axis]] that is larger than the angle between the slant height and the axis.6 KB (1,003 words) - 15:47, 13 November 2024
- ...he intersection two [[ray]]s at their endpoints. It is measure in either [[degree]]s or [[radian]]s, though the less-common [[Système international|metric]]3 KB (478 words) - 00:52, 25 August 2024
- Find the degree measure of an angle whose complement is 25% of its supplement. ...a right triangle with <math>\angle ACB</math> as its right angle, <math>m\angle ABC = 60^{\circ}</math>, and <math>AB = 10</math>. Let <math>P</math> be ra12 KB (1,792 words) - 12:06, 19 February 2020
- ...1,4)</math>, and <math>E=(0,4)</math>. What is the probability that <math>\angle APB</math> is obtuse? A polynomial of degree four with leading coefficient 1 and integer coefficients has two real zeros13 KB (1,957 words) - 11:53, 24 January 2024
- Let <math>v, w, x, y, </math> and <math>z</math> be the degree measures of the five angles of a pentagon. Suppose that <math>v < w < x < y Let <math>\triangle XOY</math> be a right-angled triangle with <math>\angle XOY = 90^{\circ}</math>. Let <math>M</math> and <math>N</math> be the midpo10 KB (1,547 words) - 03:20, 9 October 2022
- ...probability of choosing a point is <math>1 / 2</math>, or if the total arc degree measures add up to <math>\frac{1}{2} \cdot 360^{\circ} = 180^{\circ}</math> ...an [[isosceles triangle]]: <math>\angle AOP = 15^{\circ}</math> and <math>\angle OAP = OAB - 60^{\circ} = \frac{180^{\circ}-30^{\circ}}{2} - 60^{\circ} = 152 KB (343 words) - 14:39, 14 June 2023
- How many non-[[similar]] triangles have angles whose degree measures are distinct positive integers in [[arithmetic progression]]? ...c{180}{3} = 60</math> degrees. The minimum possible value for the smallest angle is <math>1</math> and the highest possible is <math>59</math> (since the nu2 KB (259 words) - 02:10, 22 June 2023
- ...E<BF </math> and <math> E </math> between <math> A </math> and <math> F, m\angle EOF =45^\circ, </math> and <math> EF=400. </math> Given that <math> BF=p+q\ ...math>). Then <math>\tan \angle EOG = \frac{x}{450}</math>, and <math>\tan \angle FOG = \frac{y}{450}</math>.13 KB (2,080 words) - 12:14, 23 July 2024
- ...angle]] which contains the entire chord is <math>60 \cdot 2 = 120</math> [[degree]]s, so the area of the [[sector]] is <math>\frac{1}{3}r^2\pi</math>; the re2 KB (329 words) - 22:20, 4 July 2013
- ...circ</math> and <math>180^\circ</math> in the complex plane. Determine the degree measure of <math>\theta</math>. ...{ cm}^2</math>. These two faces meet each other at a <math>30^\circ</math> angle. Find the volume of the tetrahedron in <math>\mbox{cm}^3</math>.6 KB (933 words) - 00:15, 19 June 2022
- ...</math> degrees and <math>45</math> degrees, respectively. The bisector of angle <math>A</math> intersects <math>\overline{BC}</math> at <math>T</math>, and ...where <math>d < 120.</math> The length of the chord of a <math>3d</math>-degree arc is <math>- m + \sqrt {n}</math> centimeters, where <math>m</math> and <7 KB (1,220 words) - 13:05, 24 November 2024
- ...must add up to <math>180^{\circ}</math>. By the [[Law of Cosines]], <math>\angle APB=\cos^{-1}\left(\frac{{-11}}{24}\right)</math>. Also, angles <math>QPA</ ...). In other words, since <math>\angle TP'N = 90^\circ</math>, then <math> \angle TPN = 90^\circ</math>.14 KB (2,351 words) - 20:06, 8 December 2024
- ...where <math>d < 120.</math> The length of the chord of a <math>3d</math>-degree arc is <math>- m + \sqrt {n}</math> centimeters, where <math>m</math> and < ...of the chords, <math>AD</math> and <math>BC</math>, of the <math>2d</math>-degree arcs can be represented as <math>x + 20</math>, as given in the problem.3 KB (561 words) - 18:25, 27 November 2022
- An [[angle]] <math> x </math> is chosen at random from the [[interval]] <math> 0^\circ ...\cos^2 x - \sin^2 x</math>. Aha! This resembles our sine and cosine double angle identities. Therefore, our inequality is now <math>\sin 2x > 2\cos 2x</math5 KB (895 words) - 14:24, 21 June 2024
- ...in(1)=\frac{1}{60}</math> in degrees, convert to radians and use the small angle approximation <math>\sin(x)=x</math>. Hence, <math>S=\frac{1}{\sin(1^\circ)}</math>, and our angle is <math>\boxed{001}</math>.3 KB (479 words) - 00:01, 21 January 2025
- ...> is <math>ab</math>, since <math>a</math> and <math>b</math> form a right angle. However, twice the area of the triangle is also the product of <math>c</m We denote the angle between <math>b</math> and <math>c</math> as <math>\alpha</math>. The prob6 KB (939 words) - 16:31, 15 July 2023
- ...ne]]s. The [[measure of an angle | measure]] of every right angle is 90 [[degree (geometry) | degrees]] or <math>\frac \pi 2</math> [[radian]]s. When drawin * [[Angle]]673 bytes (91 words) - 22:59, 11 June 2022
- ...ementary if they sum to <math>\displaystyle \pi</math> [[radian]]s (180 [[degree (geometry) | degrees]]).263 bytes (39 words) - 10:02, 7 September 2006
- ...ex]] of the angle, and the rays themselves are called the [[side]]s of the angle. ...If there is no ambiguity, this notation can be shortened to simply <math>\angle B</math>.4 KB (597 words) - 17:39, 9 May 2024
- ...measurement for [[angle|angles]]. In a circle, the measure of a [[central angle]] in radians is the ratio of the length of the [[intercepted arc]] to the l ...the whole circumference of the circle. Thus, radians can be converted to [[Degree (geometry)|degrees]]: <math>2\pi\; rad=360^\circ\implies\pi \;rad=180^\circ540 bytes (83 words) - 17:30, 10 March 2014