\(10^2\pi-6^2\pi=100\pi-36\pi=\boxed{64\pi}\)
:)
See this for squares: http://puzzles.nigelcoldwell.co.uk/twentyseven.htm
For rectangles:
We can choose the two verticals in \(\binom{8+1}{2}=36\) ways, and by symmetry, it is the same for horizontals. So 36^2=1296.
Start by drawing a diagram. What do you observe?
Some properties you might want to know: Vertical angles are equal, Angles on a line add up to 180 degrees, Angles in a triangle add up to 180 degrees.
By the binomial theorem, this term is \(\binom{11}{2}x^93^2=55*9x^9=495x^9\rightarrow\boxed{495}\)
\(\left(\frac{11}{2}\right)^2=\frac{121}{4}\rightarrow (t+\frac{11}{2})^2=\boxed{t^2+11t+\frac{121}{4}}\)
\(13^2\pi-12^2\pi=169\pi-144\pi=25\pi\rightarrow |\sqrt{\frac{25\pi}{\pi}}|=\boxed{5}\)
Is it \(3\sqrt{\frac{13}{3}}=\sqrt{39}\)?
Obviously, it is less than (not equal to). We just need to find the equation of the line then, has y-intercept of -2. So y=mx-2 --> -1=5m-2 --> m=1/5. So y=1/5x-2 --> y-1/5x+2=0. Less than, so y-1/5x+2<0
Save rite --> 5.25*5=26.25
Spend less --> 7.50*3=22.50
So 22.50<26.25 --> Ans = 22.50
\(x^2+7x-44=(x+11)(x-4)\). So \((x-4)(x+9)=x^2+5x-36\rightarrow a=-36\). And \((x+11)(x-6)=x^2+5x-66\rightarrow a=-66\). So \(\boxed{a=-36,-66}\)
