Answer:
4
Step-by-step explanation:
2 x 4 = 8
Absolute value means no symbols so it would just be 2 x something equals 8 which is 4.
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)
Answer:
There are 65,7 ml of acid.
Step-by-step explanation:
This is a percent problem. When we have a total (in this case 371 ml of a solution), it's value is the 100%. As only 17,7% is only the part we are interested in (acid), we shall get a cross-multiplication like this one:
371 ml ----------- 100%
x= ------------17.7%
This must be resolved multiplying 17.7 x 371 and dividing the result by 100.
![\frac{17,7 . 371}{100} = 65,667](https://tex.z-dn.net/?f=%5Cfrac%7B17%2C7%20.%20371%7D%7B100%7D%20%3D%2065%2C667)
This number rounded to the nearest tenth is 65,7.
Answer:
She is not right.
Step-by-step explanation:
There are 3 months in a quarter so we divide the 6% by 3 to get the monthly value.
A quarter = 3 months so 6% quarterly = 6/3 = 2 % monthly.