Find the median of each set of data. 12, 8, 6, 4, 10, 1 7 6, 3, 5, 11, 2, 9, 5, 0 5 30, 16, 49, 25
professor190 [17]
Answer:
first 7 then 5 and 27.5
Step-by-step explanation:
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.
You use elimination the get x=5 and then plug it in to get y=0 so the coordinate is (5,0)
Answer:
24 yellow strips
Step-by-step explanation:
since you need two yellow for every blue, you need to double the total of blue to get the number of yellow that are needed.
Answer:
add and multiply
Step-by-step explanation:
add them up and get your answer
then multiply that answer by 5