Answer:
33%
Step-by-step explanation:
25 / 75) x 100% = 33.33%
The product is equal to zero if one of the factors is equal to zero.
Therefore:
![y=x(x-2)(x+3)\\\\x(x-2)(x+3)=0\iff x=0\ \vee\ x-2=0\ \vee\ x+3=0\\\\\boxed{x=0\ \vee\ x=2\ \vee\ x=-3}](https://tex.z-dn.net/?f=y%3Dx%28x-2%29%28x%2B3%29%5C%5C%5C%5Cx%28x-2%29%28x%2B3%29%3D0%5Ciff%20x%3D0%5C%20%5Cvee%5C%20x-2%3D0%5C%20%5Cvee%5C%20x%2B3%3D0%5C%5C%5C%5C%5Cboxed%7Bx%3D0%5C%20%5Cvee%5C%20x%3D2%5C%20%5Cvee%5C%20x%3D-3%7D)
Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,
![Hypotenuse^2=Base^2+Perpendicular^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%3DBase%5E2%2BPerpendicular%5E2)
![(40)^2=(8)^2+(h)^2](https://tex.z-dn.net/?f=%2840%29%5E2%3D%288%29%5E2%2B%28h%29%5E2)
![1600=64+h^2](https://tex.z-dn.net/?f=1600%3D64%2Bh%5E2)
![1600-64=h^2](https://tex.z-dn.net/?f=1600-64%3Dh%5E2)
![1536=h^2](https://tex.z-dn.net/?f=1536%3Dh%5E2)
Taking square root on both sides.
![\pm \sqrt{1536}=h](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B1536%7D%3Dh)
![\pm 39.1918358=h](https://tex.z-dn.net/?f=%5Cpm%2039.1918358%3Dh)
Height cannot be negative. Round to the nearest foot.
![h\approx 39](https://tex.z-dn.net/?f=h%5Capprox%2039)
Therefore, the height of the ladder on the wall is 39 foot.
Answer: I hope this answer your question
Step-by-step explanation: Have a brilliant day mate- Lily ^_^