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a substance is 99% water some water evaporated leaving a substance that is 98% water how much water evaporated ? assume the substance weighs 100 lbs, 1%, or 1 pound is solid and 99% is water some water evaporated and the substance is now 98% water but still 1 pound solid the...

P=2l+2w but one length is not used because of the school so P=l+2w 32=l+2w and l=32-2w A=l*w A=(32-2w)(w) 0=32w-2w2 this is a parabola that opens downward so there is a maximum at (h,k) where h is the "maximizing point" and k is the maximum area use...

x=3, y=5 x=5, y=-3 x=7, y=-11 as x increases by 2, y decreases by 8 if x increases by 1, y decreases by 4 if x=4, y=1 if x=6, y=-7 if x=2, the previous y must be 4 more, or y=9 if x=1, the previous y must be 4 more, or y=13 if x=0, the previous y must be 4 more,...

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x=shortest side y=middle side z=longest side x+y+z=70 z=x+y-6 2x=z-4 in this last equation replace z by x+y-6 2x=x+y-6-4 this becomes... 2x-x-y=-10 x-y=-10 from x+y+z=70, replace z by 2x+4 from equation 2x=z-4 which becomes...

tan=opposite/adjacent draw a triangle in quadrant lll the legs are 7 and √32=4√2 find the hypotenuse H^2=7^2+(4√2)^2 H^2=49+32=81 H=√81=9 the hypotenuse is 9 the adjacent is 4√2 cos=adjacent/hypotenuse cos=-4√2/9 tan(θ/2)=±√[(1-cosθ)/(1+cosθ)] tan(θ/2)=±√[(1+4√2/9)/(1-4√2/9)] tan(θ/2)=±√([9+4√2]/9)/[9-4√2]/9) tan(θ/2)=±√[(9+4√2)/(9-4√2)] multiply...