Answer:
225y5-192
Step-by-step explanation:
Answer:
haha
Step-by-step explanation:
thanks for the points
Answer:
D
Step-by-step explanation:
![\sin(30) = \frac{n}{ \frac{10 \sqrt{3} }{3} } \\ 0.5 = \frac{n}{5.77} \\ n = 2.88 = \frac{5 \sqrt{3} }{3}](https://tex.z-dn.net/?f=%20%5Csin%2830%29%20%20%3D%20%20%5Cfrac%7Bn%7D%7B%20%5Cfrac%7B10%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%7D%20%20%20%5C%5C%200.5%20%3D%20%20%5Cfrac%7Bn%7D%7B5.77%7D%20%5C%5C%20n%20%3D%202.88%20%3D%20%20%5Cfrac%7B5%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%20)
![\cos(30) = \frac{m}{ \frac{10 \sqrt{3} }{3} } \\ 0.866 = \frac{m}{5.77} \\ m = 5](https://tex.z-dn.net/?f=%20%5Ccos%2830%29%20%20%3D%20%20%5Cfrac%7Bm%7D%7B%20%5Cfrac%7B10%20%5Csqrt%7B3%7D%20%7D%7B3%7D%20%7D%20%20%5C%5C%200.866%20%3D%20%20%5Cfrac%7Bm%7D%7B5.77%7D%20%20%5C%5C%20m%20%3D%205)
The two values of roots of the polynomial
are ![\frac{11+\sqrt{61}}{2} \text { or } \frac{11-\sqrt{61}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B11%2B%5Csqrt%7B61%7D%7D%7B2%7D%20%5Ctext%20%7B%20or%20%7D%20%5Cfrac%7B11-%5Csqrt%7B61%7D%7D%7B2%7D)
<u>Solution:</u>
Given, polynomial expression is ![x^{2}-11 x+15](https://tex.z-dn.net/?f=x%5E%7B2%7D-11%20x%2B15)
We have to find the roots of the given expression.
In order to find roots, now let us use quadratic formula.
![x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%20%5Cpm%20%5Csqrt%7Bb%5E%7B2%7D-4%20a%20c%7D%7D%7B2%20a%7D)
Given that
Here a = 1, b = -11 and c = 15
On substituting the values we get,
![x=\frac{-(-11) \pm \sqrt{(-11)^{2}-4 \times 1 \times 15}}{2 \times 1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-%28-11%29%20%5Cpm%20%5Csqrt%7B%28-11%29%5E%7B2%7D-4%20%5Ctimes%201%20%5Ctimes%2015%7D%7D%7B2%20%5Ctimes%201%7D)
![\begin{array}{l}{x=\frac{11 \pm \sqrt{121-60}}{2}} \\\\ {x=\frac{11 \pm \sqrt{61}}{2}} \\\\ {x=\frac{11+\sqrt{61}}{2} \text { or } \frac{11-\sqrt{61}}{2}}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7Bx%3D%5Cfrac%7B11%20%5Cpm%20%5Csqrt%7B121-60%7D%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D%5Cfrac%7B11%20%5Cpm%20%5Csqrt%7B61%7D%7D%7B2%7D%7D%20%5C%5C%5C%5C%20%7Bx%3D%5Cfrac%7B11%2B%5Csqrt%7B61%7D%7D%7B2%7D%20%5Ctext%20%7B%20or%20%7D%20%5Cfrac%7B11-%5Csqrt%7B61%7D%7D%7B2%7D%7D%5Cend%7Barray%7D)
Hence, the roots of given polynomial are ![\frac{11+\sqrt{61}}{2} \text { or } \frac{11-\sqrt{61}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B11%2B%5Csqrt%7B61%7D%7D%7B2%7D%20%5Ctext%20%7B%20or%20%7D%20%5Cfrac%7B11-%5Csqrt%7B61%7D%7D%7B2%7D)