TMSCA Math Flashcards
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Last updated 4:09 PM on 3/9/23
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52 Terms
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Area of a Parallelogram
A = bh
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Area of a Trapezoid
1/2h(b1+b2)
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Area of a rhombus
A = d1\*d2/2
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Area of a scalene triangle using Heron’s formula
√s(s-a)(s-b)(s-c); where s = (a+b+c)/2
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Area of Equilateral Triangle
Given side: A = (s^2√3)/4
Given height: A = (h^2√3)/3 ………. h = (s√3)/2
Given height: A = (h^2√3)/3 ………. h = (s√3)/2
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Diagonal of a square
s√2
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Area of square given diagonal
A = 1/2\*d^2
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Area of any regular polygon given the apothem
A = pa/2 ……. p = perimeter, a = apothem
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Inner diagonal of a cube
s√3
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Volume of a cube given inner diagonal
√3\*(d^3)/9
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Surface area of a cube given inner diagonal
2d^2
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Surface area of a cube given the edge
6e^2
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Inner diagonal of a rectangular solid
cL^2+w^2+H^2
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Lateral Surface area of a cylinder
2ℼrh
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Lateral Surface area of a cone
ℼrs; s = √r^2+h^2
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Total surface area of a cylinder
2ℼr(r+h)
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Total surface area of a cone
ℼr(r+s)
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Supplement Angle
adds up to 180
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Complement Angle
adds up to 90
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1 gal. = ? cubic inches
231 cubic inches
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1 gal. = ? oz
128 ounces
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1 mile = ? kilometers
1\.61 km
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1 mile = ? ft
5280 ft
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1 mile = ? yards
1760 yd
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mph convert to ft per second
22/15
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1 in. = ? cm
2\.54 cm
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1 gross = ?
144
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how much is a baker’s dozen?
13
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Surface area of a sphere
S = 4ℼr^2
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Surface area of a hemisphere
S = 3ℼr^2
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Volume of a cylinder
V = ℼr^2h
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Volume of a cone
V = (ℼr^2h)/3
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Volume of a sphere
V = (4ℼr^2)/3
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Volume of a hemisphere
V = 2/3ℼr^3
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Volume of a pyramid
V = BH/3
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Distance formula for coordinate points
d = √(x2-x1)^2+(y2-y1)^2
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Number of diagonals from one vertex
n - 3
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Total number of diagonals in a polygon
n/2\*(n-3)
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What is the sum of exterior angles of a polygon?
360
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Measure of one exterior angle of a polygon
360 + n
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Sum of interior angles
(n-2)180
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Interior and exterior angles of a polygon are -
Supplementary
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Total number of subsets or power set:
2^n
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Number of proper subsets:
(2^n)-1
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Number of improper subsets is ALWAYS -
1 (one)
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ℼ radians = ?
180
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feet per second to mph
15/22
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Intersection of two sets, ⋂, is what?
It is the set containing the elements contained in both of the two sets.
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The union of two sets, U, is what?
It is the set containing elements contained in either of the two sets.
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what is the axis of symmetry?
\-b/2a
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Sum of roots
\-b/a
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Product of Roots
\-c/a
