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43 Cards in this Set

  • Front
  • Back
Sin=
Cos=
Tan=
Sin=O/H
Cos=A/H
Tan=O/A
Area of a circle:
(pi)r^2
Circum of a circle:
(pi)D
sin^2(x) + cos^2(x) =
tan^2(x) + 1 =
cot^2(x) + 1 =
sin^2(x) + cos^2(x) = 1
tan^2(x) + 1 = sec^2(x)
cot^2(x) + 1 = csc^2(x)
Area of a square:
side^2
rectangle Area =
length x width
parallelogram Area =
base x height
triangle Area =
1/2 x base x height
trapezoid Area =
1/2 x (base1 x base2) x height
square Perimeter =
4 x side
rectangle Perimeter =
2 x length + 2 x width
triangle Perimeter =
side1 + side2 + side3
for measuring chords of a circle. The overall ratios are the same ex.
chords AB and CD intersect at E
AE=4
AB=5
CE=2
EB=1
ED=?
AEXEB=CEXED
4x1=2x2
ED=2
Special Triangles
(3,4,5) (5, 12, 13) (7, 24, 25) (8, 15, 17) (9, 40,41)
Simple Interest
I=PRT
I=interest
P=principle amount
R=rate
T=time
Compound Interest
S = P(1 + I)^n

S=future value
P=principle amount
I= periodic rate of interest (annual rate divided by the number of periods per year)
n=number of periods
Law of cos:
a^2= b^2 + c^2- 2*b*c*Cos (A)
b^2= a^2 + c^2 - 2*a*c*Cos (B)
c^2= a^2 + b^2 - 2*a*b*Cos (C)
Distance=
d= sqrt [(x1-x2)^2 + (y1-y2)^2)]
cos(-x) =
cos(x) and sin(-x) = -sin(x)
C =
5/9(F-32)
1 Gal =
1 Quart =
1 Pint =
1lb =
4 Quarts
2 Pints
16 Fluid Ounces
16 ounces
tan(x) =
-tan(180-x)
Probability:
Desired/Total Outcomes
Variance =
[Sum of (Xi - Xave)^2]/n
Std Deviation =
Sqrt of Variance
cscx =
1/sinx
Sin(30) =
1/2
Area of ellipse =
pi(ab)
Permutation: nPr =
n!/(n-r)!
n = the total number of elements in the set
r = the number of elements chosen from the set
Permutations take into account the order of the elements.
Thus, {1, 2, 3, 4} is different than {2, 1, 3, 4} and so forth.
You need to randomly draw 5 contest winners from a box containing 15 names. The first winner gets the largest prize with each successive winner receiving a smaller prize amount. How many ways can you select the 5 winners?
n = 15, r = 5.
15!/(15-5)! = 15!/10! = 15*14*13*12*11 = 360,360 ways.
Combination: nCr =
n!/(n-r)!r!
n= total number of elements in the set
r= number of elements chosen from the set
Combinations do not take into account the order of the elements.
Thus, {1, 2, 3, 4} is the same as {2, 1, 3, 4} and so forth.
You need to randomly draw 5 contest winners from a box containing 15 names. Each winner gets the same prize amount. How many ways can you select the 5 winners?
n = 15, r = 5.
15!/(15-5)!5! = 15!/10!5! = (15*14*13*12*11)/(5*4*3*2*1) = 3,003 ways
If snow is falling at a rate of 1 inch every half hour and melting at 3/4 inch every hour, how many inches deep should the snow be after eight hours of snowfall?
Rate = 2.00"/hr - 0.75"/hr = 1.25 "/hr
8 hr x 1.25"/hr = 10"
Rate=?
R=distance/time
1,000 of them are from the west. 100 of are women. 60 of the women are not from the west coast. How many male are from the west coast?
100-60=40 women from the west. 1000-40=960
recieved 10% increase in each of the last 2 yrs. His present salary is $21,780. What was his starting salary?
x= 21780/(1.1)^2
jane has $60 in the bank jake has $135. They both recieve $5 allowanve every week. jane saves all her allowance while jakes spends all his plus $10 per week. when will they have the same amount of money?
135 - 10x = 60 + 5x
squashed cricket sits at the edge of a 12in diameter revolving at 33(1/3) rpm. Approximately how fast, in feet per min is the squashed cricket moving?
r = 6 in = 1/2 ft
C = 2*pi*r = 2(3.14)(1/2 ft)
= 3.14 ft (distance covered by cricket in one revolution/min)
3.14 * 33 1/3 = 105 ft/min
iPod sales reduction force Mac to cut back output by 20%. By what % must the reduced sales be increased to allow production to be back to normal?
100-20%=80%/$80*100%=1/4=25%
(original amount=80% of increased)
Percent increase =
amount of increase / original amount x 100%.
What will be the likelihood of having exactly 1 boy in a family planning for three children?
3!/2!1! = 3 (since order doesnt matter)
1/2^3 = 1/8
So, 3/8 is the probablity of having 1 boy out of 3 tries.