Answer:
-0.75x+8.1
Step-by-step explanation:
Answer:
The height of the water is ![60.5\ ft](https://tex.z-dn.net/?f=60.5%5C%20ft)
Step-by-step explanation:
step 1
Find the volume of the tank
The volume of the inverted right circular cone is equal to
![V=\frac{1}{3}\pi r^{2} h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E%7B2%7D%20h)
we have
![r=16\ ft](https://tex.z-dn.net/?f=r%3D16%5C%20ft)
![h=96\ ft](https://tex.z-dn.net/?f=h%3D96%5C%20ft)
substitute
![V=\frac{1}{3}\pi (16)^{2} (96)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%2816%29%5E%7B2%7D%20%2896%29)
![V=8,192\pi\ ft^{3}](https://tex.z-dn.net/?f=V%3D8%2C192%5Cpi%5C%20ft%5E%7B3%7D)
step 2
Find the 25% of the tank’s capacity
![V=(0.25)*8,192\pi=2,048\pi\ ft^{3}](https://tex.z-dn.net/?f=V%3D%280.25%29%2A8%2C192%5Cpi%3D2%2C048%5Cpi%5C%20ft%5E%7B3%7D)
step 3
Find the height, of the water in the tank
Let
h ----> the height of the water
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional
![\frac{R}{H}=\frac{r}{h}](https://tex.z-dn.net/?f=%5Cfrac%7BR%7D%7BH%7D%3D%5Cfrac%7Br%7D%7Bh%7D)
substitute
![\frac{16}{96}=\frac{r}{h}\\ \\r= \frac{h}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B96%7D%3D%5Cfrac%7Br%7D%7Bh%7D%5C%5C%20%5C%5Cr%3D%20%5Cfrac%7Bh%7D%7B6%7D)
where
r is the radius of the smaller cone of the figure
h is the height of the smaller cone of the figure
R is the radius of the circular base of tank
H is the height of the tank
we have
-----> volume of the smaller cone
substitute
![2,048\pi=\frac{1}{3}\pi (\frac{h}{6})^{2}h](https://tex.z-dn.net/?f=2%2C048%5Cpi%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%28%5Cfrac%7Bh%7D%7B6%7D%29%5E%7B2%7Dh)
Simplify
![221,184=h^{3}](https://tex.z-dn.net/?f=221%2C184%3Dh%5E%7B3%7D)
![h=60.5\ ft](https://tex.z-dn.net/?f=h%3D60.5%5C%20ft)
55 percent. Because there are 27 students in total.
12+15= 27
and then you divide the 15 girls by the total in which you get 55 percent
X - 8 > -3
x - 8 + 8 > -3 + 8
x > 5
The answer is the third choice.
Answer:
1. A lake that is gradually running out of water.
2. The best adapted organisms.
3. Has brought about a new species.
(Correct me if wrong)
(Correct me if wrong) Hope this hepled
(Correct me if wrong) Hope this hepled ALL THE BEST!!