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43 Cards in this Set
- Front
- Back
Sin=
Cos= Tan= |
Sin=O/H
Cos=A/H Tan=O/A |
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Area of a circle:
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(pi)r^2
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Circum of a circle:
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(pi)D
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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) |
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Area of a square:
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side^2
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rectangle Area =
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length x width
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parallelogram Area =
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base x height
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triangle Area =
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1/2 x base x height
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trapezoid Area =
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1/2 x (base1 x base2) x height
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square Perimeter =
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4 x side
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rectangle Perimeter =
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2 x length + 2 x width
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triangle Perimeter =
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side1 + side2 + side3
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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 |
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Special Triangles
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(3,4,5) (5, 12, 13) (7, 24, 25) (8, 15, 17) (9, 40,41)
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Simple Interest
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I=PRT
I=interest P=principle amount R=rate T=time |
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Compound Interest
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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 |
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Law of cos:
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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) |
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Distance=
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d= sqrt [(x1-x2)^2 + (y1-y2)^2)]
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cos(-x) =
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cos(x) and sin(-x) = -sin(x)
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C =
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5/9(F-32)
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1 Gal =
1 Quart = 1 Pint = 1lb = |
4 Quarts
2 Pints 16 Fluid Ounces 16 ounces |
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tan(x) =
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-tan(180-x)
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Probability:
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Desired/Total Outcomes
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Variance =
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[Sum of (Xi - Xave)^2]/n
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Std Deviation =
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Sqrt of Variance
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cscx =
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1/sinx
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Sin(30) =
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1/2
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Area of ellipse =
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pi(ab)
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Permutation: nPr =
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n!/(n-r)!
n = the total number of elements in the set r = the number of elements chosen from the set |
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Permutations take into account the order of the elements.
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Thus, {1, 2, 3, 4} is different than {2, 1, 3, 4} and so forth.
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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?
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n = 15, r = 5.
15!/(15-5)! = 15!/10! = 15*14*13*12*11 = 360,360 ways. |
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Combination: nCr =
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n!/(n-r)!r!
n= total number of elements in the set r= number of elements chosen from the set |
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Combinations do not take into account the order of the elements.
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Thus, {1, 2, 3, 4} is the same as {2, 1, 3, 4} and so forth.
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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?
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n = 15, r = 5.
15!/(15-5)!5! = 15!/10!5! = (15*14*13*12*11)/(5*4*3*2*1) = 3,003 ways |
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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?
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Rate = 2.00"/hr - 0.75"/hr = 1.25 "/hr
8 hr x 1.25"/hr = 10" |
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Rate=?
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R=distance/time
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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?
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100-60=40 women from the west. 1000-40=960
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recieved 10% increase in each of the last 2 yrs. His present salary is $21,780. What was his starting salary?
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x= 21780/(1.1)^2
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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?
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135 - 10x = 60 + 5x
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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?
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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 |
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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?
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100-20%=80%/$80*100%=1/4=25%
(original amount=80% of increased) |
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Percent increase =
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amount of increase / original amount x 100%.
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What will be the likelihood of having exactly 1 boy in a family planning for three children?
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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. |