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Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin( α + β ) = sin α cos β + cos α sin ...
[citation needed] The kilogram-force is equal to the magnitude of the force exerted on one kilogram of mass in a 9.806 65 m/s 2 gravitational field (standard gravity, a conventional value approximating the average magnitude of gravity on Earth). [2] That is, it is the weight of a kilogram under standard gravity. One kilogram-force is defined as ...
1795: the gram (1 / 1000 of a kilogram) was provisionally defined as the mass of one cubic centimetre of water at the melting point of ice. [12] 1799: The Kilogramme des Archives was manufactured as a prototype. It had a mass equal to the mass of 1 dm 3 of water at the temperature of its maximum density, which is approximately 4 °C. [13]
The tonne (t) is an SI-compatible unit of mass equal to a megagram (Mg), or 10 3 kg. The unit is in common use for masses above about 10 3 kg and is often used with SI prefixes. For example, a gigagram ( Gg ) or 10 9 g is 10 3 tonnes, commonly called a kilotonne .
[1] On 16 February 1929, the Nationalist government adopted and promulgated The Weights and Measures Act [ 2 ] to adopt the metric system as the official standard and to limit the newer Chinese units of measurement ( Chinese : 市用制 ; pinyin : shìyòngzhì ; lit. 'market-use system') to private sales and trade in Article 11, effective on 1 ...
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
A ton of TNT or tonne of TNT is a unit of energy equal to 10 9 (thermochemical) calories, also known as a gigacalorie (Gcal), equal to 4.184 gigajoules (GJ). A kiloton of TNT or kilotonne of TNT is a unit of energy equal to 10 12 calories, also known as a teracalorie (Tcal), equal to 4.184 terajoules (TJ).
It is the rate of heat transfer needed to freeze 1 short ton (907 kg) of water into ice in 24 hours. In the United States and Canada, the R-value that describes the performance of thermal insulation is typically quoted in square foot degree Fahrenheit hours per British thermal unit (ft 2 ⋅°F⋅h/Btu).