TMSCA Math Flashcards

These are flashcards... the title is pretty self-explanatory

Area of a Parallelogram

A = bh

Area of a Trapezoid

1/2h(b1+b2)

Area of a rhombus

A = d1\*d2/2

Area of a scalene triangle using Heron’s formula

√s(s-a)(s-b)(s-c); where s = (a+b+c)/2

Area of Equilateral Triangle

Given side: A = (s^2√3)/4

Given height: A = (h^2√3)/3 ………. h = (s√3)/2

Diagonal of a square

s√2

Area of square given diagonal

A = 1/2\*d^2

Area of any regular polygon given the apothem

A = pa/2 ……. p = perimeter, a = apothem

Inner diagonal of a cube

s√3

Volume of a cube given inner diagonal

√3\*(d^3)/9

Surface area of a cube given inner diagonal

2d^2

Surface area of a cube given the edge

6e^2

Inner diagonal of a rectangular solid

cL^2+w^2+H^2

Lateral Surface area of a cylinder

2ℼrh

Lateral Surface area of a cone

ℼrs; s = √r^2+h^2

Total surface area of a cylinder

2ℼr(r+h)

Total surface area of a cone

ℼr(r+s)

Supplement Angle

adds up to 180

Complement Angle

adds up to 90

1 gal. = ? cubic inches

231 cubic inches

1 gal. = ? oz

128 ounces

1 mile = ? kilometers

1\.61 km

1 mile = ? ft

5280 ft

1 mile = ? yards

1760 yd

mph convert to ft per second

22/15

1 in. = ? cm

2\.54 cm

1 gross = ?

144

how much is a baker’s dozen?

13

Surface area of a sphere

S = 4ℼr^2

Surface area of a hemisphere

S = 3ℼr^2

Volume of a cylinder

V = ℼr^2h

Volume of a cone

V = (ℼr^2h)/3

Volume of a sphere

V = (4ℼr^2)/3

Volume of a hemisphere

V = 2/3ℼr^3

Volume of a pyramid

V = BH/3

Distance formula for coordinate points

d = √(x2-x1)^2+(y2-y1)^2

Number of diagonals from one vertex

n - 3

Total number of diagonals in a polygon

n/2\*(n-3)

What is the sum of exterior angles of a polygon?

360

Measure of one exterior angle of a polygon

360 + n

Sum of interior angles

(n-2)180

Interior and exterior angles of a polygon are -

Supplementary

Total number of subsets or power set:

2^n

Number of proper subsets:

(2^n)-1

Number of improper subsets is ALWAYS -

1 (one)

ℼ radians = ?

180

feet per second to mph

15/22

Intersection of two sets, ⋂, is what?

It is the set containing the elements contained in both of the two sets.

The union of two sets, U, is what?

It is the set containing elements contained in either of the two sets.

what is the axis of symmetry?

\-b/2a

Sum of roots

\-b/a

Product of Roots

\-c/a