Mathematics for Elementary Teachers with Activities, Books a la carte edition (5th Edition)
5th Edition
ISBN: 9780134423319
Author: Sybilla Beckmann
Publisher: PEARSON
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Chapter 13.2, Problem 1P
Find all the different nets for a tetrahedron made from 4 equilateral triangles. Remember that for a pattern to be a net, each triangle must be joined to another triangle along a whole edge, not just at a vertex. For two patterns to be considered different, you shouId not be able to match the patterns up when they are cut out.
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Students have asked these similar questions
28. (a) Under what conditions do we say that two random variables X and Y are
independent?
(b) Demonstrate that if X and Y are independent, then it follows that E(XY) =
E(X)E(Y);
(e) Show by a counter example that the converse of (ii) is not necessarily true.
7. [10 marks]
Let G = (V,E) be a 3-connected graph with at least 6 vertices. Let C be a cycle in G
of length 5. We show how to find a longer cycle in G.
(a) Let x be a vertex of G that is not on C. Show that there are three C-paths
Po, P1, P2 that are disjoint except at the shared initial vertex and only intersect
C at their final vertices.
(b) Show that at least two of P0, P1, P2 have final vertices that are adjacent along C.
(c) Combine two of Po, P1, P2 with C to produce a cycle in G that is longer than C.
1. Let X and Y be random variables and suppose that A = F. Prove that
Z XI(A)+YI(A) is a random variable.
Chapter 13 Solutions
Mathematics for Elementary Teachers with Activities, Books a la carte edition (5th Edition)
Ch. 13.1 - For each of the following solid shapes, find at...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Answer the following questions without using a...Ch. 13.1 - Recall that an n-gon is a polygon with n side For...Ch. 13.1 - This problem goes with Class Activity 13C on the...Ch. 13.1 - Referring to the descriptions of the Platonic...Ch. 13.1 - A cube is a polyhedron that has 3 square faces...Ch. 13.1 - The Platonic solids are convex polyhedra with...Ch. 13.1 - Two gorgeous polyhedra can be created by...Ch. 13.2 - Find all the different nets for a tetrahedron made...
Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.2 - Describe or show how to make a cylinder without...Ch. 13.2 - If a cardboard box (rectangular prism) with a top,...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Use a ruler and compass to help you make a pattern...Ch. 13.2 - Prob. 8PCh. 13.2 - Make a pattern for the “bottom portion” (frustum)...Ch. 13.2 - A company will manufacture a tent that will have a...Ch. 13.2 - Prob. 11PCh. 13.2 - Prob. 12PCh. 13.2 - A popular brand of soup comes in cans that are 258...Ch. 13.2 - The lateral portion of a cone (the part other than...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - Make a pattern for a cone such that the lateral...Ch. 13.2 - A cone with a circular base of radius 6 cm is to...Ch. 13.2 - Tim needs a sturdy cardboard box that is 3 ft tall...Ch. 13.2 - Prob. 19PCh. 13.2 - Prob. 20PCh. 13.2 - Prob. 21PCh. 13.2 - Prob. 22PCh. 13.2 - How many different nets an open top cubes an...Ch. 13.2 - Make three different nets that could be cut out,...Ch. 13.3 - Suppose that a student in your class wants to know...Ch. 13.3 - Students are sometimes confused about the...Ch. 13.3 - Young children sometimes think that tall...Ch. 13.3 - Students often confuse the surface area and the...Ch. 13.3 - In your own words, explain why the volume volume =...Ch. 13.3 - Discuss how to use blocks to explain why the...Ch. 13.3 - A cylindrical container has a base that is a...Ch. 13.3 - One liter of water is in a cylindrical container....Ch. 13.3 - Measure how fast water comes out of some faucet of...Ch. 13.3 - Find a gallon container, 3 half-gallon container,...Ch. 13.3 - One gallon is 3.79 L, and 1 cm3 holds 1 mL of...Ch. 13.3 - A cake recipe will make a round cake that is 6 in....Ch. 13.3 - A recipe for gingerbread makes a...Ch. 13.3 - The front (and back) of a greenhouse have the...Ch. 13.3 - Prob. 15PCh. 13.3 - Fifty pounds of wrapping paper are wound onto a...Ch. 13.3 - A conveyor belt dumps 2500 yd3 of gravel to form a...Ch. 13.3 - A construction company wants to know how much sand...Ch. 13.3 - One of the Hawaiian volcanoes is 30,000 ft high...Ch. 13.3 - Prob. 20PCh. 13.3 - Prob. 21PCh. 13.3 - A cone without a base is made from a...Ch. 13.3 - Prob. 23PCh. 13.3 - A cone without a base is made from 34 of a circle...Ch. 13.3 - A cone-shaped cup has a circular opening at the...Ch. 13.3 - Eight identical spherical raindrops join together...Ch. 13.4 - A tank in the shape of a rectangular prism has a...Ch. 13.4 - A container holds 5 liters. Initially, the...Ch. 13.4 - Aflsh tank in the shape of a rectangular prism is...Ch. 13.4 - Suppose that you have a recipe that calls for 200...Ch. 13.4 - Prob. 5P
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