The Five Platonic Solids The five platonic solids are the tetrahedron‚ cube‚ octahedron‚ dodecahedron‚ and a icosahedron. They are named for the greek philosopher Plato. Plato wrote about them in the Timaeus (c.360 B.C.) in which he paired each of the four classical elements earth‚ air‚ water‚ and fire with a regular solid. Earth was paired with the cube‚ air with the octahedron‚ water with the icosahedron‚ and fire with the tetrahedron. The fifth Platonic solid‚ the dodecahedron‚ Plato says that
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Algebra 1 Practice by Kareem Gouda www.SKOOLOO.com Algebra Revision Worksheet with Answers Solve each equation. 1) n + 7 + 5n + 5 = 7(5n + 3) − 3(n + 3) 2) 5(2m + 6) + 8m = −7(1 − m) + 4 3) −7(2r − 6) = 3(r + 4) − 2r 4) 8( x + 1) = 7(3 + x) 5) 6(6n − 6) − 4n = −n + 6(1 + 6n) 6) −4 10v − 6 = −16 7) 6 − 6b − 2 = 64 8) 6 6 − 6 x = 108 9) 9n − 7 3 =3 10) 4 − 7a + 9 = 27 Solve each inequality and graph its solution. 11) 6 k − x − 4 4 6 5 4 3 2 1 −6 −5 −4 −3 −2
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مفروم عادی بیف معلاق فیلی همبرجر لام شولدر لغ دجاج مفروم لیین بیف تیل رب آی ویل شولدر بیف نک لام لغ شولدر صدر مفروم اکسترا لیین لسان کوفته ویل لغ لام شابس معلاق لغ بسطورمه روست بیف کوفته لام معلاق بیف شولدر ستیک رب ستیک بیف ستیو لام رب غروند شکن برست درم بیف لغ تی بون شوارمه ویل ستیو دجاج کورنش تای قلب بون بیف رب ویل رب ویل نک Introduction: A fixed coordinate system is a system in which the points
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OUR OWN HIGH SCHOOL‚ AL WARQA’A‚ DUBAI GRADE: X - AREAS RELATED TO CIRCLES 1. 2. 3. 4. 5. ASSIGNMENT: 1 Sum of radii of two circles is 140 cm and the difference of their circumferences is 88 cm. Find the diameters of the circles.(154‚ 126) The circumference of a circle exceeds its diameter by 16.8 cm. Find the radius of the circle.(3.92) Area of a circular field is 88704 m2. How long will it take to go 10 rounds at the speed of 4.5 km/h?(2h 20m 48s) A race track is in the form of
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MPM 2DC Final Exam Name: ___________________________________________ Knowledge Thinking Application Communication /35 marks /17 marks /17 marks /17 marks Part A: Knowledge (marks as indicated) 1. Factor by taking out the common factor. (1 mark) 2. Factor the following difference of squares. (2 marks) 3. Factor fully (3 marks) 4. Solve using elimination. Verify your solution. (4 marks) 5. Solve each triangle
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Castle Rock Donna K. Martin MAT221: Introduction to Algebra 11/18/2013 Instructor: Vallory Shearer Buried treasure. Ahmed has half of a treasure map‚ which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure‚ one must get to Castle Rock‚ walk x paces to the north‚ and then walk 2x + 4 paces to the east. If they share their information‚ then they can find x and
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Tessellation Patterns Sheela Lewis MTH 214- Mathematics for Elementary Educations II December 16‚ 2013 Roland Garbe Tessellation Patterns A tessellation is “the filling of a plane with repetitions of figures in such a way that no figures overlap and that there are no gaps” (Billstein‚ Libeskind‚ & Lott‚ 2010) . Tessellations can be created with a variety of figures‚ including triangles‚ squares‚ trapezoids‚ parallelograms‚ or hexagons. Tessellations use forms of transformations to show the repetitions
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Surface Area to Volume Ratio and the Relation to the Rate of Diffusion Aim and Background This is an experiment to examine how the Surface Area / Volume Ratio affects the rate of diffusion and how this relates to the size and shape of living organisms. The surface area to volume ratio in living organisms is very important. Nutrients and oxygen need to diffuse through the cell membrane and into the cells. Most cells are no longer than 1mm in diameter because small cells enable nutrients and oxygen
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Michael Rice Applying math to real life September 3‚ 2010 Obituary for Archimedes of Syracuse Archimedes was born in Syracuse‚ Italy in 287 B.C. His father was Pheidias‚ who happened to be an astronomer. He studied at Alexandria‚ Egypt. He was also close friends with the King of Syracuse. He died in 212 B.C. Archimedes performed numerous geometric proofs using the rigid geometric formalism outlined by Euclid‚ excelling especially at computing areas and volumes using the method of exhaustion
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Diophantus was a Greek mathematician that lived in Alexandria in the 3rd Century. His estimated birth and passing years are said to be from 150 B.C. to 350 A.D. Although there is not enough information about his life‚ there is a riddle that estimates how long he lived. The mathematic puzzle is known as ‘Diophantus Riddle’. The riddle states he married while he was 33‚ then he had a son who lived for 42 years and the total years Diophantus lived according to the riddle was a total of 84 years. Through
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