Answer:
If we have a cone-shape candle with r=2 cm and h=3 cm, then the amount of paper needed is 18.84 cm^2 and the amount of plastic needed is 12.56 cm^2.
Step-by-step explanation:
<em>The question is incomplete: no numerical values for the dimensions of the cone are given.</em>
<em />
A right cone is defined by the radius r of the base and the height h.
The base area is the area of a circle with radius r:
![A_b=\pi r^2](https://tex.z-dn.net/?f=A_b%3D%5Cpi%20r%5E2)
The lateral area is calculated as:
![A_l=\pi \cdot r\cdot l](https://tex.z-dn.net/?f=A_l%3D%5Cpi%20%5Ccdot%20r%5Ccdot%20%20l)
As the values for r and h are not given, we will use an example with r=2 and h=3.
Then, the amount of paper needed is:
![A_l=\pi \cdot r\cdot l=3.14\cdot (2\,cm)\cdot (3\, cm)=18.84\,cm^2](https://tex.z-dn.net/?f=A_l%3D%5Cpi%20%5Ccdot%20r%5Ccdot%20%20l%3D3.14%5Ccdot%20%282%5C%2Ccm%29%5Ccdot%20%283%5C%2C%20cm%29%3D18.84%5C%2Ccm%5E2)
The amount of plastic needed is:
![A_b=\pi r^2=3.14\cdot (2\,cm)^2=3.14\cdot 4\,cm^2=12.56\,cm^2](https://tex.z-dn.net/?f=A_b%3D%5Cpi%20r%5E2%3D3.14%5Ccdot%20%282%5C%2Ccm%29%5E2%3D3.14%5Ccdot%204%5C%2Ccm%5E2%3D12.56%5C%2Ccm%5E2)
A.
n=1 is -4*1=-4
1st term is -4
2nd is -4/3
3rd is -4/9
4th is -4/27
b. converge because -1<r<1
c. as long as -1<r<1, then
the sum of the infnite series is
![\frac{a_1}{1-r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba_1%7D%7B1-r%7D%20)
a1=-4
r=1/3
![\frac{-4}{1-1/3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%7D%7B1-1%2F3%7D%20)
=
![\frac{-4}{2/3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-4%7D%7B2%2F3%7D%20)
=-12/2=-6
it has a sum of -6
sum of gemoetric sequence is
![\frac{a_1(1-r^n)}{1-r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba_1%281-r%5En%29%7D%7B1-r%7D%20)
a1=6
r=2
n=10
![\frac{6(1-2^{10})}{1-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%281-2%5E%7B10%7D%29%7D%7B1-2%7D%20)
![\frac{6(1-2^{10})}{-1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%281-2%5E%7B10%7D%29%7D%7B-1%7D%20)
6138
2nd answer
3*5+4*5+5*5+6*5+7*5+8*5=
5*(3+4+5+6+7+8)=
165
answer is 4th one
The simplified answer for this is -5x+8. hope this helps!!
Answer:
what is
Step-by-step explanation: