Answer:
Step-by-step explanation:
L.H.S= (x-y)২
=(2-1)২
=1
R.h.s=x২-2xy+y২
=4-4 +1
=1
Haha..It was so easy
Given:
Right triangle with base 9 and height x
θ = 61°
To find:
The value of x
Solution:
Base = Adjacent side = 9
Height = Opposite side = x
Using basic trigonometric ratio formula:
![$\tan \theta =\frac{\text{Opposite side of} \ \theta}{\text{Adjacent side of} \ \theta}](https://tex.z-dn.net/?f=%24%5Ctan%20%5Ctheta%20%3D%5Cfrac%7B%5Ctext%7BOpposite%20side%20of%7D%20%5C%20%5Ctheta%7D%7B%5Ctext%7BAdjacent%20side%20of%7D%20%5C%20%5Ctheta%7D)
![$\tan61^\circ =\frac{x}{9}](https://tex.z-dn.net/?f=%24%5Ctan61%5E%5Ccirc%20%3D%5Cfrac%7Bx%7D%7B9%7D)
The value of tan 61° = 1.8
![$1.8=\frac{x}{9}](https://tex.z-dn.net/?f=%241.8%3D%5Cfrac%7Bx%7D%7B9%7D)
Multiply by 9 on both sides.
![$1.8\times 9 =\frac{x}{9}\times 9](https://tex.z-dn.net/?f=%241.8%5Ctimes%209%20%3D%5Cfrac%7Bx%7D%7B9%7D%5Ctimes%209)
![16.2 =x](https://tex.z-dn.net/?f=16.2%20%3Dx)
The value of x is 16.2 units.
Answer:
180
Mathematically, 10 times less than 20 would be: Take 20, subtract (10 x 20). Answer: -180.
Answer:
Step-by-step explanation:
![(9x + \sqrt{2} )(9x + \sqrt{2} ) \\ = {(9x)}^{2} + ( \sqrt{2} + \sqrt{2} ) \times 9x + \sqrt{2} \times \sqrt{2} \\ = 81 {x}^{2} + 2 \sqrt{2} \times 9x + 2 \\ = 81{x}^{2} + 18x \sqrt{2} + 2 \\](https://tex.z-dn.net/?f=%289x%20%2B%20%20%5Csqrt%7B2%7D%20%29%289x%20%2B%20%20%5Csqrt%7B2%7D%20%29%20%5C%5C%20%20%3D%20%20%7B%289x%29%7D%5E%7B2%7D%20%20%2B%20%28%20%5Csqrt%7B2%7D%20%20%2B%20%20%5Csqrt%7B2%7D%20%29%20%5Ctimes%209x%20%2B%20%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%20%5C%5C%20%20%3D%2081%20%7Bx%7D%5E%7B2%7D%20%20%2B%202%20%5Csqrt%7B2%7D%20%20%5Ctimes%209x%20%2B%202%20%5C%5C%20%3D%20%2081%7Bx%7D%5E%7B2%7D%20%20%2B%2018x%20%5Csqrt%7B2%7D%20%2B%202%20%5C%5C%20)
Answer:
A, D, E
Step-by-step explanation: