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Answers by Arthur D.

the general formula for the radius, if you know the measures of all three sides a, b, and c is the following abc/√((a+b+c)(b+c-a)(c+a-b)(a+b-c)) if the sides a, b, and c are all equal as in an equilateral triangle the formula becomes... a3/√(3a*a*a*a)= a3/√(3a4)= a3/a2√3= a/√3...

let x=θ 2sin^2x=sinx+1 2sin^2x-sinx-1=0 factor (2sinx+1)(sinx-1)=0 2sinx+1=0 2sinx=-1 sinx=-1/2 look on the unit circle sin is -1/2 when x=7∏/6 or 210º (+∏k where k=0,±1,±2,...) sinx-1=0 sinx=1 sin is 1 when x=∏/2 or 90º (+∏k where...

95%*88%=0.95*88=83.6 5%*100%=0.05*100=5 83.6+5=88.6% is your grade   look at it this way also... there are 19 5%'s in 95%, so you have 19 88's you also have 1 5% worth 100%, so you have 1 100 19*88=1672 1*100=100 1672+100=1772 1772/20=88.6%

81 multiply 99 (answer)

First memorize your multiplication tables up to 10 at least. 81*99 81*100=8100      (there is one group of 81 too many) 8100-81=8019     (subtract this extra group of 81)

x is the number x^2+x=182 x^2+x-182=0 182=2*7*13=(2*7)*13=14*13 and 14-13=1, the coefficient of the middle term factor (x+14)(x-13)=0 x+14=0 x=-14 and (-14)^2=196 and 196+(-14)=182   x-13=0 x=13 and (13)^2=169 and 169+13=182 there...

n/(-9)=-16 multiply both sides by -9 (-9)(n/(-9))=(-9)(-16) one operation undoes the other so the left side becomes "n"  (multiplication undoes division) n=144  

3  4  6  9  13  18  24  add 1 to 3 to get 4 add 2 to 4 to get 6 add 3 to 6 to get 9 add 4 to 9 to get 13 add 5 to 13 to get 18 add 6 to 18 to get 24 add 7 to 24 to get 31 answer   3  6  4  8  6 ...

assuming you mean whole numbers... the maximum area of a rectangle occurs when the rectangle is a square using the same reasoning, the maximum value occurs when the two numbers are equal but 59 is an odd number so use the numbers 29 and 30 (59/2=29.5, 29.5-0.5=29 and 29.5+0.5=30) 29*30=870 1*58=58 2*57=114 3*56=168 4*55=220...

let θ=x sin(2x)=0 in the interval [0,2∏) look on the unit circle sin is 0 at 0º 2x=0º x=0º sin is 0 at 180º 2x=180º x=90º x=180º because 2*180=360 which brings you back to 0º 2x=180+2∏k for k=0,-1,1,-2,2,... x=90+∏k for... x=90+180=270º x=0º,...

word problem (answer)

4x+6y=92 x+y=20 x=20-y 4(20-y)+6y=92 80-4y+6y=92 80+2y=92 2y=92-80 2y=12 y=6 6-cylider engines x=20-6=14 4-cylinder engines