sine:<span> the trigonometric function that is equal to the ratio of the side opposite a given angle (in a right triangle) to the hypotenuse.
</span>cosine: the trigonometric function that is equal to the ratio of the side adjacent to an acute angle (in a right-angled triangle) to the hypotenuse.
tangent: <span>a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.</span>
X=12.3..............................................
Answer:
![P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m](https://tex.z-dn.net/?f=P%20%3D%202%5Cbigg%28%5Cdfrac%7Bl%5E2%20%2B%2081%7D%7Bl%7D%5Cbigg%29~m)
Step-by-step explanation:
We are given the following in the question:
Area of rectangle = 81 square meter.
Let l be the length of the rectangle and b be the breadth of rectangle.
Then, we can write,
![\text{Area of rectangle} = \text{Length}\times \text{breadth}\\A = l\times b\\81 = l\times b\\\\b = \dfrac{81}{l}~m](https://tex.z-dn.net/?f=%5Ctext%7BArea%20of%20rectangle%7D%20%3D%20%5Ctext%7BLength%7D%5Ctimes%20%5Ctext%7Bbreadth%7D%5C%5CA%20%3D%20l%5Ctimes%20b%5C%5C81%20%3D%20l%5Ctimes%20b%5C%5C%5C%5Cb%20%3D%20%5Cdfrac%7B81%7D%7Bl%7D~m)
Perimeter of rectangle =
![2(\text{Lenght + Breadth})](https://tex.z-dn.net/?f=2%28%5Ctext%7BLenght%20%2B%20Breadth%7D%29)
Putting values, we get,
![P = 2(l + b)\\P = 2(l + \dfrac{81}{l})\\\\P = 2\bigg(\dfrac{l^2 + 81}{l}\bigg)~m](https://tex.z-dn.net/?f=P%20%3D%202%28l%20%2B%20b%29%5C%5CP%20%3D%202%28l%20%2B%20%5Cdfrac%7B81%7D%7Bl%7D%29%5C%5C%5C%5CP%20%3D%202%5Cbigg%28%5Cdfrac%7Bl%5E2%20%2B%2081%7D%7Bl%7D%5Cbigg%29~m)
From 1st week to 4th: 18 x 4= 72 hours
from 5th week to 8th week: 18 x 1/3 x 4 = 48 hours
72 + 48 = 120 hours
Answer:
Step-by-step explanation:
2x² + 5x - 3 = 2x² - x + 6x - 3*1
=x(2x - 1) + 3(2x - 1)
= (2x -1)(x + 3)
![\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=(x+3)*\frac{x+1}{2x^{2}+5x-3}\\\\=(x+3)*\frac{(x+1)}{(2x-1)(x+3)}\\\\=\frac{x+1}{2x-1}\\\\5+\frac{x+3}{\frac{2x^{2}+5x-3}{x+1}}=5+\frac{x+1}{2x-1}\\\\=\frac{5*(2x-1)+(x+1)}{2x-1}\\\\=\frac{10x-5+x+1}{2x-1}\\\\=\frac{11x-4}{2x-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B3%7D%7B%5Cfrac%7B2x%5E%7B2%7D%2B5x-3%7D%7Bx%2B1%7D%7D%3D%28x%2B3%29%2A%5Cfrac%7Bx%2B1%7D%7B2x%5E%7B2%7D%2B5x-3%7D%5C%5C%5C%5C%3D%28x%2B3%29%2A%5Cfrac%7B%28x%2B1%29%7D%7B%282x-1%29%28x%2B3%29%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%2B1%7D%7B2x-1%7D%5C%5C%5C%5C5%2B%5Cfrac%7Bx%2B3%7D%7B%5Cfrac%7B2x%5E%7B2%7D%2B5x-3%7D%7Bx%2B1%7D%7D%3D5%2B%5Cfrac%7Bx%2B1%7D%7B2x-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%2A%282x-1%29%2B%28x%2B1%29%7D%7B2x-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B10x-5%2Bx%2B1%7D%7B2x-1%7D%5C%5C%5C%5C%3D%5Cfrac%7B11x-4%7D%7B2x-1%7D)