156/9 = 17.3
So Lina can make about 17 beaded bracelets with 156 beads.
Hope this Helps!!
Answer:
$4.50
Step-by-step explanation:
what you do is divide $22.50 by 5 pounds
Answer:
x = 11.75
Step-by-step explanation:
m∠A + m∠B must equal 90
5x + 3x - 4 = 90
8x = 94
x = 11.75
Answer:
The rate of change of the volume
when the height is 9 centimeters and the radius is 6 centimeters is 
Step-by-step explanation:
This is a related rate problem because you know a rate and want to find another rate that is related to it. If 2 variables both vary with respect to time and have a relation between them, we can express the rate of change of one in terms of the other.
From the information given we know:


- The volume of a cone of radius r and height h is given by

We want to find the rate of change of the volume
when the height is 9 centimeters and the radius is 6 centimeters.
Applying implicit differentiation to the formula of the volume of a cone we get
![\frac{dV}{dt}=\frac{1}{3}\pi [r^2\frac{dh}{dt}+2rh\frac{dr}{dt} ]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Br%5E2%5Cfrac%7Bdh%7D%7Bdt%7D%2B2rh%5Cfrac%7Bdr%7D%7Bdt%7D%20%5D)
Substituting the values we know into the above formula:
![\frac{dV}{dt}=\frac{1}{3}\pi [(6)^2\frac{1}{2}+2(6)(9)\frac{1}{2} ]\\\\\frac{dV}{dt}=\frac{1}{3}\pi[18+54]\\\\\frac{dV}{dt}=\frac{72\pi}{3}=24\pi \:\frac{cm^3}{s}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5B%286%29%5E2%5Cfrac%7B1%7D%7B2%7D%2B2%286%29%289%29%5Cfrac%7B1%7D%7B2%7D%20%5D%5C%5C%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5B18%2B54%5D%5C%5C%5C%5C%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B72%5Cpi%7D%7B3%7D%3D24%5Cpi%20%5C%3A%5Cfrac%7Bcm%5E3%7D%7Bs%7D)
Hello!
As you can see, all of these numbers just go down to the tenths, not the hundreds, so we cannot round.
Therefore, the numbers will remain the same.
I hope this helps!