Answer:
Part c) ![V=16,500\ m^3](https://tex.z-dn.net/?f=V%3D16%2C500%5C%20m%5E3)
Part d)
or ![V=292,999.68\ mm^3](https://tex.z-dn.net/?f=V%3D292%2C999.68%5C%20mm%5E3)
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to
![V=\frac{1}{3}Bh](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBh)
where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>
![B=(60)(15)=900\ m^2](https://tex.z-dn.net/?f=B%3D%2860%29%2815%29%3D900%5C%20m%5E2)
![h=55\ m](https://tex.z-dn.net/?f=h%3D55%5C%20m)
substitute
![V=\frac{1}{3}(900)(55)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%28900%29%2855%29)
![V=16,500\ m^3](https://tex.z-dn.net/?f=V%3D16%2C500%5C%20m%5E3)
Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to
![V=\pi r^{2}h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E%7B2%7Dh)
we have
![r=36\ mm\\h=72\ mm](https://tex.z-dn.net/?f=r%3D36%5C%20mm%5C%5Ch%3D72%5C%20mm)
substitute
![V=\pi (36)^{2}(72)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%2836%29%5E%7B2%7D%2872%29)
-----> exact value
<em>Find the approximate value</em>
assume
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
![V=93,312(3.14)=292,999.68\ mm^3](https://tex.z-dn.net/?f=V%3D93%2C312%283.14%29%3D292%2C999.68%5C%20mm%5E3)
Answer:
P(5,1), Q(4,-3), R(-4,-2), S(-2,3)
Let me know if it’s correct !!
Answer:
-6-(-1)
Step-by-step explanation:
Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6. Then since the last box is being taken away, we are subtracting it. The last box is still negative though so the last part is -1. Since -6 subtracted by -1 is -6-(-1), the answer is:
-6-(-1)
For this case we can propose a rule of three according to the Shontaro base performance.
4 hits ------------> 12 times at bat
x -------------------> 36 times at bat
Where "x" represents the number of hits he will have the following week, based on his previous performance.
![x = \frac {36 * 4} {12}\\x = 12](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%20%7B36%20%2A%204%7D%20%7B12%7D%5C%5Cx%20%3D%2012)
So, Shintaro will have 12 hits in 36 times at bat
Answer:
Shintaro will have 12 hits in 36 times at bat
OPtion B