File: GeomB 2011 Answers 8.10.11 No Calculators: Updated: August 10‚ 2011 A concave polygon looks sort of like a vertex has been ’pushed in’ towards the inside of the polygon. A convex polygon has all the vertices of the polygon pointing outwards‚ away from the interior of the shape. Think of it as a ’bulging’ polygon. A regular polygon is a polygon which is equiangular (all angles are congruent) and equilateral (all sides have the same length). Regular polygons may be convex or star. (5
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BE PROPERLY STAPLED. 1. Are the two rectangular prisms similar? If so‚ give the similarity ratio. 2. The lateral areas of two similar paint cans are 1019 cm2 and 425 cm2. The volume of the small can is 1157 cm3. Find the volume of the large can. 3. The volumes of two similar solids are 128 m3 and 250 m3.The surface area of the larger solid is 250 m2. What is the surface area of the smaller solid? 4. Triangular Prism X and triangular Prism Y are similar. The ratio of corresponding dimensions
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Investigating the effect of surface area to volume ratio on Osmosis As far as living organisms are concerned‚ they are all made up of cells whereas‚ the membrane surrounds all those cells. The cell membrane has the key responsibility to maintain a stable interval environment. Even though‚ Cell membrane is made up of phospholipids bilayer and has that great amount flexibility making it unbreakable while transportation of substances. However‚ certain substances such as‚ dissolved gases‚ sugars‚ salt
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Surface Tension Properties of Liquids Introduction The purpose of this experiment is to measure and record the surface tension of water and other aqueous solutions using capillary rise method techniques and practicing lab safety. In this laboratory the surface tension of water depends on the concentration of the following solutes; NaCl‚ acetone‚ and sodium dodecyl sulfate (SDS). Intermolecular interactions as well as other phases (solid‚ or air) make a liquid exist. The data collected will show
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Surface Tension Steven Brignol Dr. Payne September 15 Introduction: Water’s ability to stick to itself is surface tension. In this lab we were able to measure and detect surface tension by dropping water‚ drop by drop‚ onto a penny. The quantity of droplets that fit on the penny was impressive. Hypothesis: The detergent will thicken the water making a tighter surface tension. Prediction: If soap increased the surface tension‚ then expansion will happen. Materials: (1) Pipette (2) Water
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att t e s ie A few words on the history and future of surface chemistry For more than 400 years‚ important scientists and mathematicians like Leonardo da Vinci‚ Isaac Newton‚ Pierre Simon Laplace‚ Thomas Young‚ Siméon Denis Poisson‚ Josiah Willard Gibbs‚ Frederick M. Fowkes have done valuable pioneer work for the explanation of surface tension‚ capillarity‚ wetting and other interfacial problems. As a sector of physical chemistry‚ surface chemistry in connection with colloid chemistry established
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CHAPTER 3 Response surface methodology 3.1 Introduction Response surface methodology (RSM) is a collection of mathematical and statistical techniques for empirical model building. By careful design of experiments‚ the objective is to optimize a response (output variable) which is influenced by several independent variables (input variables). An experiment is a series of tests‚ called runs‚ in which changes are made in the input variables in order to identify the reasons for changes in
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The Role of Surface Engineering in the Automotive Industry The subject of surface engineering in the automotive industry has developed significantly in the last decade. A large driving force for the need for surface treatments has been energy consumption. 30 per cent of all energy consumed in the European Union derives from transportation activities‚ relying solely on fossil fuels. Due to this‚ and the push to reduce the emissions of polluting gases‚ car manufacturers must produce increasingly
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particles within the same body; adhesion is the interaction between the surfaces of different bodies. The force of cohesion in gases can be observed in the liquefaction (condensation) of a gas‚ which is the result of a number of molecules being pressed together to produce forces of attraction high enough to give a liquid structure. Cohesion in liquids is reflected in the surface tension caused by the unbalanced inward pull on the surface molecules‚ and also in the transformation of a liquid into a solid
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Area of some rectilinear figures Area of a Triangle : 1/2 x Base x Heights Area of Equilateral Triangle : Sqrt(3)/4 x (Side)2 Area of a Triangle - Hero’s formula : Sqrt{s (s - a) (s - b) (s - c)} where 2s = a + b + c. Area of Rectangle = Length x Breadth Area of a Square = (Side)2 Area of Four Walls = 2 x height (Length + breadth) Area of Rhombus = 1/2 x (Products of Diagonals) Area of Trapezium = 1/2 x (Sum of Parallel Sides) x (Distance between Parallel lines) Area of Parallelogram
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