Here we celebrate the power of algebra as a powerful way of finding unknown quantities by naming them, of expressing infinitely many relationships and connect ions clearly and succinctly, and of uncovering pattern and structure.
Triangular totaling. A tetrahedron is a 3-dimensional “triangle.” It has four faces, each a 2-dimensional triangle, and six edges. It turns out that a “triangle” in
(Sec Mindscape 16.) Compute the number of edges and the number of 2-dimensional faces there are in a 5-dimensional triangle.
Want to see the full answer?
Check out a sample textbook solutionChapter 4 Solutions
The Heart of Mathematics: An Invitation to Effective Thinking
Additional Math Textbook Solutions
Finite Mathematics & Its Applications (12th Edition)
Mathematics All Around (6th Edition)
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Calculus Volume 1
Mathematical Ideas (13th Edition) - Standalone book
- Forming a pen We want to form a rectangle pen of area 100 square feet. One side of the pen is to be formed by an existing buliding and the other three sides by a fence see Figure 2.106. Let W be the length, in feet, of the sides of the rectangle perpendicular to the buliding, and let L be the length, in feet, of the other side. Figure 2.106 a.Find a formula for the total amount of fence needed in terms of W and L b. Express, as an equation involving W and L, the requirement that the area be 100 square feet. c.Solve the equation you found in part b for L. d.Use your answers to parts a and c to find a formula for F, the total amount, in feet, of fence needed, as a function of W alone. e.Make a graph of F versus W. f.Determine the dimension of the rectangle that requires a minimum amount of fence.arrow_forwardA pizzeria charges 9 for a medium plain cheese pizza plus 1.50 for each extra topping. a Find a formula that models the cost C of a medium pizza with x toppings. b Use your model from part a to find the cost of a medium pizza with the following extra toppings: anchovies, ham, sausage, and pineapple.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning