3.14 is the short but It keeps going on
Answer:
$4.35
Step-by-step explanation:
Knowns:
Total bill: $29.00
Tip of 15% ($29.00)
Work:
$29.00 (0.15) = $4.35 tip
Hope this helps!
180 degrees - 25 degrees =
A: 155 degrees
*note: 180 degrees total in a triangle
As a matter of simplification, same/same = 1.
now, "same" could be anything whatsoever, you name it, a whole polynomial, a whole anything whatsoever.
![\bf \cfrac{\sqrt{2}}{\sqrt{2}}=\cfrac{\sqrt{3}}{\sqrt{3}}=\cfrac{100000000}{100000000}=\cfrac{eggs}{eggs}=\cfrac{miles}{miles}=\cfrac{\frac{\quad \sqrt{3}}{\sqrt[5]{17}}\quad }{\frac{\sqrt{3}}{\sqrt[5]{17}}}=\cfrac{whatever}{whatever}=1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%7D%3D%5Ccfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D%3D%5Ccfrac%7B100000000%7D%7B100000000%7D%3D%5Ccfrac%7Beggs%7D%7Beggs%7D%3D%5Ccfrac%7Bmiles%7D%7Bmiles%7D%3D%5Ccfrac%7B%5Cfrac%7B%5Cquad%20%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B5%5D%7B17%7D%7D%5Cquad%20%7D%7B%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%5B5%5D%7B17%7D%7D%7D%3D%5Ccfrac%7Bwhatever%7D%7Bwhatever%7D%3D1)
now, that said, let us use 1 in this case then ... hmmmm we simply need a "y" in the denominator, so we simply multiply the denominator AND numerator by "y", y/y = 1 btw.
Answer:
one unit vector is ur=(-1/√3 ,1/√3 ,1/√3 )
Step-by-step explanation:
first we need to find a vector that is ortogonal to u and v . This vector r can be generated through the vectorial product of u and v , u X v :![r=u X v =\left[\begin{array}{ccc}i&j&k\\1&0&1\\0&1&1\end{array}\right] = \left[\begin{array}{ccc}0&1\\1&1\end{array}\right]*i + \left[\begin{array}{ccc}1&0\\1&1\end{array}\right]*j + \left[\begin{array}{ccc}1&0\\0&1\end{array}\right]*k = -1 * i + 1*j + 1*k = (-1,1,1)](https://tex.z-dn.net/?f=r%3Du%20X%20v%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%260%261%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D%2Ai%20%2B%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D%2Aj%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%2Ak%20%3D%20-1%20%2A%20i%20%2B%201%2Aj%20%2B%201%2Ak%20%3D%20%28-1%2C1%2C1%29)
then the unit vector ur can be found through r and its modulus |r| :
ur=r/|r| = 1/[√[(-1)²+(1)²+(1)²]] * (-1,1,1)/√3 =(-1/√3 ,1/√3 ,1/√3 )
ur=(-1/√3 ,1/√3 ,1/√3 )