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Note: Conversion is based on the latest values and formulas.
A feeding trough full of water is 5 ft long and its ends are … falling at a rate of 2ft /min If you consider the generalised position when the depth of the water in the trough is at x where x = x(t). Due to the similar triangles, the "width" of the water channel will also be x, as indicated in the drawing We can say that the volume in the tank at that time, V(t), is: V = 1/2 * x * x * l where l is the length of the trough [ie 5 ft] so V = 5/2 x^2 taking ...
An isosceles right triangle has legs that are each 4cm. What is the ... 14 Nov 2015 · c = sqrt(32) We will use the Pythagorean Theorem for this problem. We know that each leg is 4cm. We can plug those in for a and b, to find our hypotenuse, c. 4^2 + 4^2 = c^2 16 + 16 = c^2 32 = c^2 c = sqrt(32)
81.3 cm converted to m? - Socratic 11 May 2018 · This is because #"1 meter"# is equal to #"100 cm"#. So let's say that we need to convert #50# cm into meters. The best way to tackle the problem would be to divide the desired amount of cm by how many centimeters are in a meter. #"50 cm"/"100 cm/1 m" = "0.5 m"# If we apply the same concept to your problem: #"81.3 cm"/"100 cm/1 m" = "0.813 m"#
The base of a triangular garden is 5 yards longer than the 7 Nov 2017 · height= 16 yards base = 21 yards Let the height of the triangular shaped garden be h yards. Its base would then be 5+h yards. Formula for the area of any traingle is 1/2 base X height. By this formula, 1/2 (5+h) Xh= 168 On simplifying this. h^2 +5h =336 Or h^2 +5h-336=0. Now factorise this quadratic expression by splitting the middle term, keeping in view the fact that …
A mixture of concrete is made up of sand and cement in a 12 Nov 2016 · 80 cubic feet of sand and 100 cubic feet of cement If the components of concrete are in the ratio 4:5, it means that the mix can be considered as consisting of 9 parts. The fraction of each is: Sand = 4/9" and " cement = 5/9 Therefore in 180 cubic feet: Sand = 4/9 xx 180 = 80 cubic feet. Cement = 5/9 xx 180 = 100 cubic feet
A rectangular patio has a perimeter of 68 feet. If the ... - Socratic 24 Jul 2016 · The dims. are 22feetxx12feet. Suppose that, the length of the patio is lfeet, and widh is w. Now, given that, length=2(width)-2rArr l=2w-2.....(1) Then, perimeter =l ...
What is the area of an equilateral triangle with a side ... - Socratic The area is about 62.4 inches (squared) You can use Pythagorean theorem in order to find the height of the triangle. First, split the triangle into two identical right-angled ones, which have the following dimensions: H = 12in. X = 6in. Y = ? (Where H is the hypotenuse, X is the base, Y is the height of the triangle.) Now we can use Pythagorean theorem in order to find the height. …
How does the metric system work? - Socratic 16 Mar 2018 · The base 10 system makes conversion between units easy. To convert from units of distance to units of volume is logical. cm xx cm xx cm = cm^3 a unit of volume 1 cm^3 = 1 ml To convert form units of volume to units of mass is also logical 1 ml (H_2O) = 1 g at Standard Temperature and Pressure.
What is the greatest common factor of 108 and 168? | Socratic 8 Apr 2016 · Greatest Common Factor is 12 Factors of 108 are {1,2,3,4,6,9,12,18,27,36,54,108} Factors of 168 are {1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168} Common Factors are {1 ...
A 5 cm high prism has a right triangle base with cateti 6 cm 17 Dec 2016 · Surface Area: 168 sq.cm. Volume: 120 cu.cm. Here is the prism as I believe it has been described: The hypotenuse length of 10 is calculated based on the Pythagorean Theorem: sqrt(6^2+8^2) Since we were asked to use a perimeter construct in calculating the surface area, we might note that the vertical surface area is: "perimeter of right-triangular base" xx "prism …