Basic Math question and answers for July 19, 2023
- Q Ali sails on a bearing of N20E for 18 km then S85E for 6 km .How far is he from his starting point?
- Q Using Euclid's Propositions:1. Prove that the regular octagon is constructible.2. Prove that the regular decagon is constructible.
- Q Assume that a 3D polygon is tranformed by a transformationmatrix T. Assume the normal vector of the polygon is n. Can we usethe formula Tn to compute the normal vector...
- Q Prove the necessary part of Ceva’s Theorem for the case where Dand E are ideal but F is ordinary.The case is where: D and E are ideal but F isordinary.Lately I...
- Q 1) Create a 3-dimensional figure. Label all of the relevantdimensions. Calculate the area of each face, the number ofvertices, the perimeter of each face, the total surface area, andthe volume....
- Q A polyhedron must meet three conditions in order to beregular:All of the faces are regular polygons;All of the faces are congruent (identical);All of the vertex points/arrangements are congruent(identical).Try to find...
- Q Suppose that ABCD is cyclic, so there is a circle through allfour of its vertices. Prove that (?A) + (?C) = 180? and (?B) + (?D)= 180?.
- Q For a 4 mile by 4 mile grid, how many signs must be placed to ensure that the farthest distance between two signs is LaTeX: sqrt[]{2} 2 miles?
- Q Small triangle. Answer the following.a. State a definition for small triangle that would eliminate acounterexample to ASA.b. Explain why using this definition eliminates the possibilityof a counterexample to ASA.
- Q George wants to use square pavers that are 6 inches on each sideto completely surround his flower garden. The garden is 12 feetlong and 3 feet wide. How many pavers...
- Q State a possible definition for "small triangle" and comment onwhy such a definition eliminates the counterexamples allowing SASto be true on the sphere.
- Q Kevin's body metabolizes caffeine at a rate of 14.4% per hour(so the amount of caffeine in Kevin's body decreases by 14.4% eachhour).If Kevin consumes a cup of coffee with 86...
- Q How might geometry be used to build a feeling of community? typeplease
- Q '(16) Consider the map T : P2(F) ?P2(F) de?ned by T(p(x)) =xp'(x).(a) Prove that T is linear.(b) What is null(T)?(c) Compute the matrix M(T) with respect to the bases B...
- Q Solve these linear equations overZ52x+3y =43x+y=2The answer is (1,4) as unique solution, please kindly explainthe reasons and show your work, much appreciated!
- Q Find the dual problem for each of the following primalproblems.a): min z=6x1+8x2 st: 3x1+x2>=4 5x1+2x2>=7 x1,x2>=0b): max z=8x1+3x2-2x3 st: x1-6x2+x3>=2 5x1+7x2-2x3=-4x1<=0,x2<=0,x3 unrestricted
- Q In the following list of subsets of R3 ,select the ones that are subspaces ofR3 (multiple answers).(As usual, incorrect answers will earn you negative points)Entire R3{ (x+y, x-y, y )...
- Q Find the equations of the line in the half-plane model of thehyperbolic plane that passes through the points (a) (1,1) and(1,6). (b) (2, 2) and (4,4)
- Q Write the expression as an equivalent expression in the form x^n.Simplify your answer as much as possible, and enter your answer asa fraction.(X^6)^4/(X^6)(X^4)
- Q use the construction of The circumcircle to construct Euler'sline. Describle your construction in detail
- Q Use the Law of Cosines to solve the triangle. (Let a =11.9 ft and c = 12.1 ft. Round your answer for bto two decimal places. Round your answers for...
- Q Below you are given the description of two quadrilaterals. On apiece of paper (labelled and in order), use the appropriate tools(straightedge, compass, etc.) to construct the describedquadrilaterals and the perpendicular...
- Q Prove that (1,0, 0), (1,1,1), (1,2,3)) is linearly independent,and its span is R3.
- Q A pizza pan is removed at 4:00 pm from an oven whosetemperature is fixed at 450 F into a room that is constant 73 F.after 5 minutes, the pizza is...
- Q Given a segment, construct its perpendicular bisector.Given a line an a point, construct the perpendicular to the linethrough the point.Given a line an a point not on the line, construct...
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