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0߾)lMn,w*0\)0xK$J}qŗZkq AZ)ap(0(+eKپy /A(0\) (}Te.J2%Y_rX*b:J0)Gş3z| ] JI?{o {Ŀjܖ+qm m w~xP8IsW|UƆhx*Ȥ4ٜJ})Sɵ 8OϠ <**DW*Vjn=|A-}~u0VZhu0Q &jU`91_fÙR1m^W*̆3mbڼ̃T gJŴy_0tKIENDB`3 A@@  s1.xabcABCwholepartpercentPrismPyramidCylinderCone(length)(width)(height)(radius)volume in cubic unitsbaseheightarea perimeter parallelogramtriangle trapezoid first base other baseradius circumferencediameter rectanglevolumeformularight triangles w/perimeter7is =INT(20-40*RAND()) to generate random from -20 to 202. (3.4.+ =  -()(5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28. x + 3y = 429.4x + 2y = 6 (1,1)30.31.AxBy =C32.DxEy =Fx isy is33.34.35.36.37.38.random, rounded39.40.41.42.43.44.45.46.47.48.49.50.51.52.53.54.55.56.57.58.59.60.61.62.65.66.67.68.69.70.71.72.73.74.75.76.77.78.79.80.81.82.83.84.85.86.87.88.89.90.is INT(-6+12*RAND())sums)DEFGH$required constants and coefficients. ax + b = 0Multiply 2 binomials.a isb isc isd is(ax + b)(cx+d)(ex+f) isx = / x2 x1 x0 Multiply 3 binomials.e isf isx = x3 !Note: #NUM! means a complex root.*Note: To see how the formula works, visit::www.mathnstuff.com/math/spoken/here/2class/320/quadequ.htmx +x + )() is  = =x=0= then x isOR4,02xonly2x+2x+42,02x 3x+42x+40,-11x3x+1x+2x+3ax2 + bx + c = 0 ) =)/("arithmetic proportion"multiply 2 binomialsrandom generator3x-1 -1, -4/3use this if a is 0!use this if a is not 0.x+8x+16, -5used% Solve a right triangle.% Solve a 45-45-90 triangle.% Solve a 30-60-90 triangle.%Often these may be computed mentally. Input leg a.A isB isC isa=c/2, a=b/"(3)b=a"(3), b=c"(3)/2c=2a, c=2b/"(3)Input leg a or side c. Input leg b. Input side c.C is a=b, a=c/"2, c=a"28% Use Pythagorean Theorem and arithmetic and basic trig.Input leg a and leg b.Input hypotenuse c and leg a.Input angle A and side a.A is =ArcSIN(a/c)*180/PI()A is =ArcSIN(a/c) B is =90-AB is =ArcSIN(b/c)C is 90.C is =90b is =a/TAN(A*PI()/180)c is =SQRT(a^2+b^2)b is =SQRT(c^2-a^2)% Solve any triangle.% Use the Sine Law,%% If given a side and opposite angle.Input angles A , B, side a.Input angle A , side a, side b.bsin(A) no solution < if #NUM! there is no solution. 1 solution C is =180-A-Bb2 isB2 is 2 solutionsb is a*sin(B)/sin(a)c2 isC2 is7  >c is =arcsin(c*SIN(A)/a)0B is =ArcSIN(G37*SIN(I36*PI()/180)/G36)*180/PI() C is 180-A-B'c is =a*SIN(C*PI()/180)/SIN(A*PI()/180)b2=b1B2=180-B%c2=a*SIN(C2*PI()/180)/SIN(A*PI()/180)% Use the Law of Cosines,*% If not given a side and opposite angle.Input sides a, b, c.Input angle A , sides b,c.b is =arcsin(b*SIN(A)/a)B is =arcsin(b*SIN(A)/a) 2007, 2008, A. AzzolinoPageContents%title & contents\Look at the colored cells at the top of each sheet for the hot spots that operate the sheet. compute.xls) www.mathnstuff.com/math/xls/compute.xls airthmetic prealgebra alg 1, part 2solve lin quadsolve triangles trig geometry numerator denominatorEnter unknowns in yellow only.!Compute perimeter and area for a 'Compute volume or base or height for a Prism, Pyramid, Cylinder, Cone.,Compute radius, diameter, area for a circle.;Insert data in the GRAY cells. Colored cells will compute!geometryAdd 2 binomials.(ax + b)(cx+d) israndom number generator(ax + b)+(cx+d) isa(bx+c)+d(ex+f) is"Distribute and combine like terms..rectangle, triangle, parallelogram, trapezoid.Solve system by Cramer's RuleA =B =C =D = determinantsolutionHot cells. Enter system here.,is =MDETERM(A2:D5) Determinant of the matrix This page.*Computes base, rate (percent), percentage. + (X+1)(X-1)X^2-1X^2+4X+3 (X+1)(X+3)X^2+2X-3 (X+3)(X-1)A(x+3)+B(x-1)=C(x+1)Ax +3A + Bx - B = Cx+ C(x+1) (x+1)(x+1)D(x+1)(x+1)+E(x)(X+1)=F(x)Dx^2+2Dx+d+Ex^2+Ex+Fx = 0(D+E)x^2 +(2D+E+F)x+D = 0,Distribute and combine like terms GENERATOR.-Solves a proportion, x on top or x on bottom.%Random Signed No. Computation Drills.\Input or Random Generate then distribute and combine like terms as in a(bx+c)+d(ex+f) is ...Solve System w/2 Unknowns.Solve System w/3 or 4 Unknowns.4Solve a linear or quadratic equation by entering theSolve binomial proportions.*Examine Prototype Solve Rational Equations+Examine Prototype Solve Rational Equations.(A+B-C)x = (-3A + B + C) alg 1 poly% Input angles A , B, side a."% Input angle A , side a, side b.% Input sides a, b, c.% Input angle A , sides b,c.numbers6numbers 1. to 90. in column form for listing questions coord geo3computes distances in 1-, 2-, 3-space, and midpointx1x2 (x1-x2)^2Distancey1y2 (y1-y2)^2z1z2 (z1-z2)^2) -1,4 3,1 is 5 is length, midpoint 1,2.5midpoint (x1 +x2)/2 (y1+y2)/2#sqrt[(x1-x2)^2+(y1-y2)^2+(z1-z2)^2]distanceDISTANCEMIDPOINT change in y change in x (y1 - y2) (x1 - x2) --------------------------slope is (y2 - y1) (x2 - x1)computes slope both waysz 0-xuӗ85B?zw%"URURtq85liC@:7  $! # C@ :7 )&SPxu׫PMcc  6 ˺Ӿ  dMbP?_*+%;";??U} } m,} ,} ,} ,} ,} m,} ,} ,6J J ;J ;;J J ; ; ; ; J  ;;;;;;;;;;;;;;;;          33333333 < = =  i j~i  j  jj~ ?    ^ * Y  0  *  0 ?~  @%0@ DdD~ I@ Y UY      ?% ףp= ?DDd@@YUY  ?@ @%R@dDD~ @ 2~ "@Y~  ? *~  @ WXX]~ t@~ @Y~  Q@  2~  Q@ * Y***   YUY  !  @  DD *! 2@  DD Y! 4@ D D  *! 4@ D D   YUY  ! @ D D   ! ?  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