Answer:
0,266666666667
Step-by-step explanation:
Answer:
240 m³
Explanation:
The volume of a pyramid is equal to:
![V=\frac{1}{3}\times B\times H](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20B%5Ctimes%20H)
Where B is the area of the base and H is the height of the pyramid.
Then, the base of the pyramid is a triangle, so the area of a triangle is equal to:
![B=\frac{b\times h}{2}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7Bb%5Ctimes%20h%7D%7B2%7D)
Where b is the base of the triangle and h is the height of the triangle. So, replacing b by 16 m and h by 9 m, we get:
![B=\frac{16\times9}{2}=\frac{144}{2}=72m^2](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B16%5Ctimes9%7D%7B2%7D%3D%5Cfrac%7B144%7D%7B2%7D%3D72m%5E2)
Finally, replacing B by 72 m² and H by 10 m, we get that the volume of the pyramid is equal to:
![V=\frac{1}{3}\times72\times10=\frac{1}{3}\times720=240m^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes72%5Ctimes10%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes720%3D240m%5E3)
Therefore, the volume is 240 m³
Answer:
3:2
Step-by-step explanation:
I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!
Answer:
3.5 hours
Step-by-step explanation:
Speed of train X=30 mph
Speed of train Y=40 mph
Relative speed When the two trains travelling in same direction
Relative speed=40-30=10 mph
Total distance =25+10=35 miles
We have to find the time when train Y is 10 miles ahead of train X.
We know that
Time=![\frac{Distance}{Relative\;speed}](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BRelative%5C%3Bspeed%7D)
Using the formula
Then, we get
Time=![\frac{35}{10}=3.5 hours](https://tex.z-dn.net/?f=%5Cfrac%7B35%7D%7B10%7D%3D3.5%20hours)
Hence, it will be 3.5 hours until train Y is 10 miles ahead of train X.
Answer:
depending on which triangle