Answer: Ratio of new volume to original volume is 2:1.
Step-by-step explanation:
Let the radius of cylinder be 'r'
Let the height of cylinder be 'h'
Original volume of cylinder will be
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
If radius get doubled,
New radius be '2r'
If height get halved,
New height be will be
![\frac{h}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bh%7D%7B2%7D)
so, Volume of cylinder becomes
![Volume=\pi (2r)^2\times \frac{h}{2}=\pi \times 4r^2\times \frac{h}{2}\\\\Volume=2\pi r^2h](https://tex.z-dn.net/?f=Volume%3D%5Cpi%20%282r%29%5E2%5Ctimes%20%5Cfrac%7Bh%7D%7B2%7D%3D%5Cpi%20%5Ctimes%204r%5E2%5Ctimes%20%5Cfrac%7Bh%7D%7B2%7D%5C%5C%5C%5CVolume%3D2%5Cpi%20r%5E2h)
Ratio of new volume to the original volume is given by
![2\pi r^2h:\pi r^2h\\\\2:1](https://tex.z-dn.net/?f=2%5Cpi%20r%5E2h%3A%5Cpi%20r%5E2h%5C%5C%5C%5C2%3A1)
Hence, Ratio of new volume to original volume is 2:1.
Answer:
x=1 and y=4/5
Step-by-step explanation:
<u>Given system of equations</u>
3x+5y=7
5x+10y=13
<u />
<u>Multiply first equation by 2</u>
2(3x+5y)=2(7)
6x+10y=14
<u>Eliminate y-variable to get "x"</u>
6x+10y=14
<u>- 5x+10y=13</u>
x = 1
<u>Substitute x=1 into either equation and find "y"</u>
3x+5y=7
3(1)+5y=7
3+5y=7
5y=4
y=4/5
Therefore, x=1 and y=4/5
Answer:
h = 59 hours
Step-by-step explanation:
Total earnings = fixed charge + variable charge
Fixed charge = $65
Variable charge = $15h
Where, h = number of hours
Total earnings = $950
Total earnings = fixed charge + variable charge
950 = 65 + 15h
Subtract 65 from both sides
950 - 65 = 65 + 15h - 65
885 = 15h
Divide both sides by 15
h = 885 / 15
= 59
h = 59 hours
Answer:
1. Infinitely Many Solutions
2. Zero Solutions
3. One Solution ( x = 6 )
Step-by-step explanation:
1.
12x + 8 = 2( 6x + 4 )
12x + 8 = 12x + 8
2.
2( 2x + 1 ) = 4x + 3
4x + 2 = 4x + 3
2 = 3
3.
4( x + 1 ) = 3x + 10
4x + 4 = 3x + 10
x + 4 = 10
x = 6
Hopefully this helps!
Brainliest please?