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I stumbled upon these questions in Manhattan series, where we are supposed to find the maximum and minimum areas and perimeters of the polygons. There are these questions, that i am not able to solve, I have thoroughly read the concept yet I am facing difficulty because I am still getting confused with the concept. 1. The lengths of the two shorter legs of a right triangle add up to 40 units. 2. What is the maximum possible area of the triangle? Can somebody please explain me this concept
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A right circular cylindrical tank having a height of 2 feet and perimeter of the base as 22 feet was filled with water up to 80% of its actual capacity. What is the minimum number of lead balls each having radius of 0.10 feet, that should be dropped into the tank so as to increase the volume to at least 90%? 800 900 919 1838 2757 Since the % increase is 10, the volume which should be filled with balls is 10 % of the cylindrical volume. (volume of sphere)*(no of spheres) = 10%(volume of cylinder) On equating, I get ans in decimals. Could someone please explain where am going wrong?
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looked easy but i am stuck
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I have been looking over practice problems for both stats and geometry. Has anyone else done anything different in addition to practice?
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I've got two questions that I can't seem to figure out. For question 10 in the GRE math review for chapter 3, the question asks: For rectangle ABCD below, AB = 5, AF = 7, and FD = 3, find the following: (a) Area of ABCD (b) Area of triangle AEF © Length of BD (d) Perimeter of ABCD letters a,c,d I've got but I really don't know how to find b [ATTACH=CONFIG]6494[/ATTACH] For question 11 in chapter 3, the questions asks: In the parallelogram ABCD below, find the following: (a) Area of ABCD (b) Perimeter of ABCD © Length of diagonal BD letters a and b I've got but I can't figure out c [ATTACH=CONFIG]6495[/ATTACH] any help would be greatly appreciated!
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In parallelogram ABCD below, find the following. A. Area of ABCD B. Perimeter of ABCD C. Length of diagonal BD For B, I got 32 as my answer by using 2(w+h), but the answer key says 24 + 4 sq root 5. How do I get that answer? [ATTACH=CONFIG]6501[/ATTACH]
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Hey guys. So there's a class offered at my school next semester. I don't really know what to make of it. It's called Modern Geometry (prereqs being Multi and LA). I'm not exactly sure what this means, and most importantly whether it has application to econ. Last semester I took DE in the hopes it would apply to econ but we ended up doing a lot of physics-related material. Here is the description given on our website: Geometry of surfaces in 3-dimensional space, including lengths, areas, angles, curvature, and topology. Classification of Euclidean isometries. Classification of compact surfaces having constant Gaussian curvature. What drew me was the mention of 'topology.' My school does not have a topology class so this may be my only chance for that, but it seems like it may just be touched on. What do y'all think - will this class apply to econ?
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Right quadrilateral with different opposite sides: Quadrilateral ABCD AB=4,and opposite CD=3sqroot2 AC=sqroot7, and opposite BD=3 angles ABD=ACD=90o AreaABCD-? _____________________________________:sleepy: At first I was confused how could this object forms and refuse solving the problem. After while I assumed that opposite right angles should be in different planes. _____________________________________:idea: So the easiest way is to represent this as 2 right triangles and sum their areas and get in result A=6+(3/2)sqroot14. _____________________________________:hmm: But there should be a reasonable formula for the Area of "3D" quadrilaterals, souldn't it? Pls provide it if You know. _____________________________________:doh: Also I have just encountered a term "plane angle -An angle formed by two straight lines in the same plane" and I wonder how there could be a non-plane angle (if there is a specific term for that, it means angles have different types in terms of planes, don't they?) ?
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Dear all, there is a chance that this question came up already, but a search on the key terms does not find it. So here's the question. It is from readyforGRE.com's website (Advanced GRE math questions) [ATTACH=CONFIG]5849[/ATTACH] Could you help me explain the solution? I've tried using sin/cos ratios, that didn't help. Tried looking for special triangles (I think it's something close to this, but no success). I have a feeling that I need to use the fact that these triangles share the same angle at the top, but again... no clue on how to proceed. Many thanks!