Let
be the usual speed, and
be the usual time.
Following the equation
, where s is the space, v is the velocity and t is time, we know that usually we have
![200=vt](https://tex.z-dn.net/?f=200%3Dvt)
But this time we were 10mph faster and it took one hour less, so we have
![200=(v+10)(t-1)](https://tex.z-dn.net/?f=200%3D%28v%2B10%29%28t-1%29)
Since both right hand sides equal 200, they must equal each other:
![vt=(v+10)(t-1)=vt+10t-v-10 \iff 10t-v-10=0 \iff v=10t-10](https://tex.z-dn.net/?f=vt%3D%28v%2B10%29%28t-1%29%3Dvt%2B10t-v-10%20%5Ciff%2010t-v-10%3D0%20%5Ciff%20v%3D10t-10)
Plug this value in the first equation and we have
![200=vt=(10t-10)t \iff 10t^2-10t-200=0](https://tex.z-dn.net/?f=200%3Dvt%3D%2810t-10%29t%20%5Ciff%2010t%5E2-10t-200%3D0)
This equation has solutions
. We can only accept positive solutions, so we have t=5. We finally deduce, again from the first equation,
![200=5v \iff v=\dfrac{200}{5}=40](https://tex.z-dn.net/?f=200%3D5v%20%5Ciff%20v%3D%5Cdfrac%7B200%7D%7B5%7D%3D40)
To find the volume of the cylinder we multiply the area of the face by the height of the cylinder. Area pi*r^2
First find area
768in^3/3in = 256in^2
Pi*r^2 = 256
r^2 = 256 / pi
radius = root of 256/pi
Hence radius = 9.027033337 in
To check answer
Pi*9.027033337^2 * 3in = 768in^3
Finalized answer to 2 d.p
Radius = 9.03 in
Answer:
D. 4.12
Step-by-step explanation:
A irrational number can be a decimal, but can never be a fraction.
Answer:
The total compound interest is $1,047,130.76.
Step-by-step explanation:
Answer:
If Becca walks 2 dogs each month then in the 3rd month she walk 2 additional dogs.
Step-by-step explanation:
The answer i got is 2 because she walks 2 dogs each month so that means in month 3 she walked 2 dogs cause she walk 2 a month.