Answer:
0.5 hour
Step-by-step explanation:
Given
Speed of Dina = 10 km/h
Distance = 20 km
So the time Dina taken to complete the track is:
![Speed=\frac{distance}{time}\\10=\frac{20}{time}\\time=\frac{20}{10}\\ time=2\ hours](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D%5C%5C10%3D%5Cfrac%7B20%7D%7Btime%7D%5C%5Ctime%3D%5Cfrac%7B20%7D%7B10%7D%5C%5C%20time%3D2%5C%20hours)
The time taken by Dina is 2 hours. As masha started with dina but she was 4 km of the path left to cycle,
her distance covered in 2 hours was:
![Distance\ covered\ by\ Masha\ in\ 2\ hours=20-4\\=16 km](https://tex.z-dn.net/?f=Distance%5C%20covered%5C%20by%5C%20Masha%5C%20in%5C%202%5C%20hours%3D20-4%5C%5C%3D16%20km)
So we know the time and distance:
Now,
![Speed\ of\ Masha=\frac{distance}{time}\\ =\frac{16}{2}\\ =8\ kilometer\ per\ hour](https://tex.z-dn.net/?f=Speed%5C%20of%5C%20Masha%3D%5Cfrac%7Bdistance%7D%7Btime%7D%5C%5C%20%3D%5Cfrac%7B16%7D%7B2%7D%5C%5C%20%3D8%5C%20kilometer%5C%20per%5C%20hour)
We have to calculate the time that will be needed by MAsha to complete the track:
As we know the speed and remaining distance
![Speed=\frac{distance}{time}\\8=\frac{4}{time}\\ time=\frac{4}{8}\\time=0.5\ hours](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7Bdistance%7D%7Btime%7D%5C%5C8%3D%5Cfrac%7B4%7D%7Btime%7D%5C%5C%20time%3D%5Cfrac%7B4%7D%7B8%7D%5C%5Ctime%3D0.5%5C%20hours)
Masha needs 0.5 hour to complete the track ..
The Answer is A: 13.1 in^2
Area=height times base (for some prisms including cylinders)
vcylinder=hpir²
h=height
therefor pir²=base area
vcylinder=height times aeraofbase
given
h=9
v=324pi
324pi=9(basearea)
divide both sides by 9
36pi=areabase
the area of the base is 36pi square cm (put 36 in the blank since the pi is already there)
Answer:
![Sales\:\:Price=List\:\:Price-Discount](https://tex.z-dn.net/?f=Sales%5C%3A%5C%3APrice%3DList%5C%3A%5C%3APrice-Discount)
- Sales price= $
List price=L Discount![=19.5\%\:of\:L=0.195L](https://tex.z-dn.net/?f=%3D19.5%5C%25%5C%3Aof%5C%3AL%3D0.195L)
![1167.25=L-0.195L](https://tex.z-dn.net/?f=1167.25%3DL-0.195L)
Step-by-step explanation:
The percentage discount is ![19.5\%](https://tex.z-dn.net/?f=19.5%5C%25)
The discount is always given on the list price.
![Sales\:\:Price=List\:\:Price-Discount](https://tex.z-dn.net/?f=Sales%5C%3A%5C%3APrice%3DList%5C%3A%5C%3APrice-Discount)
Let the list price be L, then
List price=L
Sales price= $![1167.25](https://tex.z-dn.net/?f=1167.25)
Discount![=19.5\%\:of\:L=0.195L](https://tex.z-dn.net/?f=%3D19.5%5C%25%5C%3Aof%5C%3AL%3D0.195L)
We substitute into the equation to get:
![1167.25=L-0.195L](https://tex.z-dn.net/?f=1167.25%3DL-0.195L)
![1167.25=0.805L](https://tex.z-dn.net/?f=1167.25%3D0.805L)
Divide both sides by 0.805
![\frac{1167.25}{0.805}=L](https://tex.z-dn.net/?f=%5Cfrac%7B1167.25%7D%7B0.805%7D%3DL)
![1450=L](https://tex.z-dn.net/?f=1450%3DL)
The list price of the swimming pool is $1450
Yet there is a generally accepted measure for standard of living: average real gross domestic product (GDP) per capita. Let's break it down piece by piece: GDP measures annual economic output — the total value of new goods and services produced within a country's borders.