Answer:
(C)DC = 6 StartRoot 3 EndRoot in.
(D)AC = 12 StartRoot 3 EndRoot in.
Step-by-step explanation:
Answer:
x = 55, y = 45
Step-by-step explanation:
add both equations: 2x = 110, x= 55, input back in to get y = 45
Answer:
8.28%
Step-by-step explanation:
According to the U.S. Census Bureau, the legal official department in charge of the National Census every ten years, the population of the U.S.A in 2010 was<em> 308,745,538 inhabitants.</em>
If about 25,585,000 had diabetes, then <em>cross multiplying</em>
308,745,538-------100%
25,585,000---------x%
and
![\frac{308,745,538}{25,585,000}=\frac{100}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B308%2C745%2C538%7D%7B25%2C585%2C000%7D%3D%5Cfrac%7B100%7D%7Bx%7D)
and so, about
![x=\frac{25,585,000*100}{308,745,538}=8.28 \%](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B25%2C585%2C000%2A100%7D%7B308%2C745%2C538%7D%3D8.28%20%5C%25)
Americans had diabetes in 2010.
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.
If a = b , then b = a
It's symmetric property of equality.
Answer: symmetric (if 10 = y, then y = 10)