Math 110 Units 8 & 9

Trapzoid Area

1/2(b1+b2)h

Heron’s Formula

s= 1/2(a+b+c) Square root of a(s-a)(s-b)(s-c)

Cylinder Volume

A(base)Height

Sphere Volume

3/4(pi)r³

Cone/Pyramid Volume

1/3(base)h

Cylinder Surface Area

2(pi)r²+2(pi)rh

Sphere Surface Area

4(pi)r²

Cone Surface Area

(pi)r²+(pi)rl

Fractal Geometry

Branch of Geometry that explans irregular shapes and processes

Fractals

Geometric shape that can be separated into parts, the reduced scale version of the whole

Self-similar pattern

If the replication is exactly the same, it’s self-similar

Not Trail or Circuit

Graph with more than two odd vertices

Euler Circuit

Connected graph with all even degrees

Euler Trail

Graph with exactly two odd degrees

Weighted Graph

Graph where edges have values

Directed Graph

Graph where each edge has a direction

Hamiltonian Circuit

visit every city once and return to start

Complete graph

Has an edge between every pair of verticies

Nearest neighbor

Travel to closest node (distance) that has not yet been visited

Cheapest edge

Pick edge with smallest weight. the list one