Answer:
-x.(3x^2+4)
Step-by-step explanation:
Brain-list?
Don't know try something else it will probably help
Answer:
If
, the slang height of the cone is approximately 23.521 inches.
Step-by-step explanation:
The surface area of a cone (A) is given by this formula:
![A = \pi \cdot r^{2} + 2\pi\cdot s](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%5Ccdot%20r%5E%7B2%7D%20%2B%202%5Cpi%5Ccdot%20s)
Where:
- Base radius of the cone, measured in inches.
- Slant height, measured in inches.
In addition, the slant height is calculated by means of the Pythagorean Theorem:
![s = \sqrt{r^{2}+h^{2}}](https://tex.z-dn.net/?f=s%20%3D%20%5Csqrt%7Br%5E%7B2%7D%2Bh%5E%7B2%7D%7D)
Where
is the altitude of the cone, measured in inches. If
, then:
![s \approx r](https://tex.z-dn.net/?f=s%20%5Capprox%20r)
And:
![A = \pi\cdot r^{2} +2\pi\cdot r](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%5Ccdot%20r%5E%7B2%7D%20%2B2%5Cpi%5Ccdot%20r)
Given that
, the following second-order polynomial is obtained:
![\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0](https://tex.z-dn.net/?f=%5Cpi%20%5Ccdot%20r%5E%7B2%7D%20%2B%202%5Cpi%20%5Ccdot%20r%20-1885.7143%5C%2Cin%5E%7B2%7D%20%20%3D%200)
Roots can be found by the Quadratic Formula:
![r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}](https://tex.z-dn.net/?f=r_%7B1%2C2%7D%20%3D%20%5Cfrac%7B-2%5Cpi%20%5Cpm%20%5Csqrt%7B4%5Cpi%5E%7B2%7D-4%5Cpi%5Ccdot%20%28-1885.7143%29%7D%7D%7B2%5Cpi%7D)
![r_{1,2} \approx -1\,in \pm 24.521\,in](https://tex.z-dn.net/?f=r_%7B1%2C2%7D%20%5Capprox%20-1%5C%2Cin%20%5Cpm%2024.521%5C%2Cin)
![r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in](https://tex.z-dn.net/?f=r_%7B1%7D%20%5Capprox%2023.521%5C%2Cin%20%5C%2C%5Cwedge%5C%2Cr_%7B2%7D%5Capprox%20-25.521%5C%2Cin)
As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.
Count how many pieces there are and then seer how many is that specific Piece and for percentage make it 100% of this amount then divide the different one out
Answer:
![- \frac{1}{3}](https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20)
Step-by-step explanation:
The only thing important in this question in the original equation is the slope, which is 3, the multiplyer for x. To find the opposite slope follow the steps below.
The first step is to make the original slope into a fraction.
![\frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B1%7D%20)
Then flip the numerator and denominator.
![\frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20)
Now multiply this value by -1.
![\frac{1}{3} \times ( - 1) = - \frac{1}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%20%28%20-%201%29%20%3D%20%20-%20%20%5Cfrac%7B1%7D%7B3%7D%20)
There is the opposite slope of 3.