Answer:
380m²
Step-by-step explanation:
11²+π≈380m²
No, that's not true. The input variable of a sequence is called the index, which is a counter, such as 1, 2, 3, 4, ... Note that all of these counters are positive integers. Normallly I use index i = 1 to denote the first term of a sequence, i = 2 the second term, and so on.
Decimals and irrational numbers are completely unsuitable for serving as such counters.
Answer:
B x = 3, y= 3
Step-by-step explanation:
<u />
<u>Trigonometric ratios</u>
![\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}](https://tex.z-dn.net/?f=%5Csf%20%5Csin%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BH%7D%5Cquad%5Ccos%28%5Ctheta%29%3D%5Cdfrac%7BA%7D%7BH%7D%5Cquad%5Ctan%28%5Ctheta%29%3D%5Cdfrac%7BO%7D%7BA%7D)
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
![\implies \sin(45^{\circ})=\dfrac{x}{3\sqrt{2}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Csin%2845%5E%7B%5Ccirc%7D%29%3D%5Cdfrac%7Bx%7D%7B3%5Csqrt%7B2%7D%7D)
![\implies x=3\sqrt{2}\sin(45^{\circ})](https://tex.z-dn.net/?f=%5Cimplies%20x%3D3%5Csqrt%7B2%7D%5Csin%2845%5E%7B%5Ccirc%7D%29)
![\implies x=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cimplies%20x%3D3%5Csqrt%7B2%7D%20%5Ccdot%20%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
![\implies x=\dfrac{3\sqrt{2} \sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cimplies%20x%3D%5Cdfrac%7B3%5Csqrt%7B2%7D%20%5Csqrt%7B2%7D%7D%7B2%7D)
![\implies x=\dfrac{3 \cdot 2}{2}=3](https://tex.z-dn.net/?f=%5Cimplies%20x%3D%5Cdfrac%7B3%20%5Ccdot%202%7D%7B2%7D%3D3)
![\implies \cos(45^{\circ})=\dfrac{y}{3\sqrt{2}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Ccos%2845%5E%7B%5Ccirc%7D%29%3D%5Cdfrac%7By%7D%7B3%5Csqrt%7B2%7D%7D)
![\implies y=3\sqrt{2}\cos(45^{\circ})](https://tex.z-dn.net/?f=%5Cimplies%20y%3D3%5Csqrt%7B2%7D%5Ccos%2845%5E%7B%5Ccirc%7D%29)
![\implies y=3\sqrt{2} \cdot \dfrac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cimplies%20y%3D3%5Csqrt%7B2%7D%20%5Ccdot%20%5Cdfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
![\implies y=\dfrac{3\sqrt{2} \sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cdfrac%7B3%5Csqrt%7B2%7D%20%5Csqrt%7B2%7D%7D%7B2%7D)
![\implies y=\dfrac{3 \cdot 2}{2}=3](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cdfrac%7B3%20%5Ccdot%202%7D%7B2%7D%3D3)