Answer:
20.1 units
Step-by-step explanation:
2πr * X/360, where X = angle measure
2(3.14)(4)(288/360)
20.1 units
Answer: 31,755
Step-by-step explanation: You would just multiply 365 by 87 like this.
365 x 87
and the answer would be 31,755.
365 x 87 = 31,755
Answer: 336 beads
Step-by-step explanation:
To find how many beads are in each layer, use the equation 12 x 7 = 84
Then multiply the amount of beads by each layer: 84 x 4 = 336
Answer:
Step-by-step explanation:
Here's the formula for the volume of a right circular cylinder:

Here's what we are given and what we need to find:
Given that d = 10 cm, h = 20 cm, dd/dt = 1 cm/sec
Need to find dh/dt when V is constant
Since our formula has a radius in it and not a diameter but the info given is a diameter, we can use the substitution that
so

Now we can rewrite the formula in terms of diameter:
which simplifies down to

Now we will take the derivative of this equation with respect to time using the product rule. That derivative is
![\frac{dV}{dt}=\frac{\pi }{4}[d^2*\frac{dh}{dt}+2d\frac{dd}{dt}*h]](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B4%7D%5Bd%5E2%2A%5Cfrac%7Bdh%7D%7Bdt%7D%2B2d%5Cfrac%7Bdd%7D%7Bdt%7D%2Ah%5D)
Now we can fill in our values. Keep in mind that if the volume is constant, there is no change in the volume, so dV/dt = 0.
and

Multiply both sides by pi/4 to get
and solve for dh/dt:

Interpreted within the context of our problem, this means that the volume will be constant at those given values of diameter and height when the liquid in the cylinder is dropping at a rate of 4 cm/sec.
Answer:
<BDC and
<CDB but be sure and read what is below.
Step-by-step explanation:
The trick is to put the letter for the angle in the middle of its 3 letter name.
<BDC is the same thing as <CDB
You have named it in 2 different ways. The letters on either end don't matter as much as having D in the middle.