Answer:
58 ft
Step-by-step explanation:
So I attached a diagram that illustrates the triangle that is formed. We know an angle, as well as the hypotenuse. We are looking for the height, or in other words the opposite side of the angle. There is a trigonometric function defined as:
. Using this we can plug in known values and solve for the opposite side, which I'll simply represent as x.
![sin(46) = \frac{x}{80}](https://tex.z-dn.net/?f=sin%2846%29%20%3D%20%5Cfrac%7Bx%7D%7B80%7D)
Multiply both sides by 80
![sin(46) * 80 = x](https://tex.z-dn.net/?f=sin%2846%29%20%2A%2080%20%3D%20x)
Calculate sin(46) using a calculator (make sure it's in degree mode)
![0.7193398 * 80 = x](https://tex.z-dn.net/?f=0.7193398%20%2A%2080%20%3D%20x)
Simplify
![57.547 \approx x](https://tex.z-dn.net/?f=57.547%20%5Capprox%20x)
Round this to the nearest foot
![58 \approx x](https://tex.z-dn.net/?f=58%20%5Capprox%20x)
Answer:
P = 2(n - 6) + 2(n^2 - 8)
Step-by-step explanation:
Remembering that Area = Length times Width, we factor the given function
A = n^3 - 6n^2 - 8n + 48 in the expectation that the resulting factors represent the length and width respectively:
A = n^3 - 6n^2 - 8n + 48 factors as follows:
A = n^2(n - 6) - 8(n - 6), or A = (n - 6)(n^2 - 8)
We can label '(n - 6)' "width" and '(n^2 - 8'
length.
Then the perimeter, P, of the rectangle is P = 2(length) + 2(width). which works out here to:
P = 2(n - 6) + 2(n^2 - 8)
I wish I can’t help but lol k bye