perimeter and area of a square, rectangle, triangle, trapezoid, and circle - ANSWER-
Surface area and volume of boxes, cans, cones, pyramids, and spheres - ANSWER-
Pythagoras theorem - ANSWER-a² + b² = c²
Fractals - ANSWER-Geometric shape that can be separated into parts, each of which ...
Math 110 Exam 3📏📐✏Questions With
Complete Solutions
perimeter and area of a square, rectangle, triangle, trapezoid, and circle - ANSWER-
Surface area and volume of boxes, cans, cones, pyramids, and spheres - ANSWER-
Pythagoras theorem - ANSWER-a² + b² = c²
Fractals - ANSWER-Geometric shape that can be separated into parts, each of which is
a reduced-scale version of the whole
Length and area of next step - ANSWER-
Graph - ANSWER-Diagram consisting of vertices and edges
Nodes or vertices - ANSWER-Points on the graph
Edges - ANSWER-Lines connecting the points
Loops - ANSWER-Edge with both ends the same point
Parallels - ANSWER-Two or more edges with the same two end points
Degrees - ANSWER-Number of times a path is in a starting location of an Euler Circuit
or path
Simple graph - ANSWER-A graph with no loops and no parallels
Eulers theorems - ANSWER-- A connected graph with all even vertices has at least one
Euler Circuit
- A connected graph with exactly two odd vertices (any number of even vertices) has at
least one Euler Trail. These trails start and end at each of the odd vertices
- It is not possible for any graph to have one odd vertex
- A graph with more than two odd vertices does mot have an Euler Trail or Circuit
Euler vs. Hamilton graphs - ANSWER-
Nearest neighbor algorithm - ANSWER-The nearest neighbour algorithm was one of the
first algorithms used to determine a solution to the travelling salesman problem. In it, the
salesman starts at a random city and repeatedly visits the nearest city until all have
been visited. It quickly yields a short tour, but usually not the optimal one.
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