Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
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:
option d.
<em> f(x) = |x|</em><em> </em><em>is </em><em>the </em><em>absolute</em><em> </em><em>value</em><em> </em><em>parent</em><em> </em><em>function</em><em>.</em>
it looks like its answers two, four, and five.
tell me how you did !
Answer:
Step-by-step explanation:
1. b+6=
Because Abby 6 more books than Kristen. The amount of book Kristen reads is represented with b.
2.Sorry I don't get the rest.