Answer:
47052806.5418
Step-by-step explanation:
Honestly I just used a calculator...
Hope this helped tho
Answer:

Step-by-step explanation:
It is given that the point P(x, y) lies on the unit circle and is defined by real number e. We have to find csc(e) i.e cosecant of (e)
This scenario is represented in the figure attached below.
The formula of csc is:

A right angled triangle is constructed, as shown in figure. The hypotenuse of the triangle forms the radius of the circle. Since, the circle is a unit circle the length of hypotenuse would be equal to 1.
Hypotenuse = 1
So, the formula of csc would be reduced to:

The side opposite to the angle made at origin is y. So,

152 degrees. You just add the angles across from each other
Answer:
Step-by-step explanation:
We have volume of cone as

and for a cone always r/h = constant
Given that r' = rate of change of radius = -7 inches/sec
(Negative sign because decresing)
V' =- 948 in^3/sec
Radius = 99 inches and volume = 525 inches
Height at this instant = 
Let us differentiate the volume equation with respect to t using product rule
![V=\frac{1}{3} \pi r^2 h\\V' = \frac{1}{3} \pi[2rhr'+r^2 h']\\-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%5C%5CV%27%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2rhr%27%2Br%5E2%20h%27%5D%5C%5C-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C)
![-948 = \frac{1}{3} \pi[2(99)(-7)(\frac{0.1607}{\pi})+99^2 h']\\-948 = 33(3.14)(-2.25/3.14 + 99 h')\\-9.149=-0.72+99h'\\-8.429 = 99h'\\h' = 0.08514](https://tex.z-dn.net/?f=-948%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%5B2%2899%29%28-7%29%28%5Cfrac%7B0.1607%7D%7B%5Cpi%7D%29%2B99%5E2%20h%27%5D%5C%5C-948%20%3D%2033%283.14%29%28-2.25%2F3.14%20%20%2B%2099%20h%27%29%5C%5C-9.149%3D-0.72%2B99h%27%5C%5C-8.429%20%3D%2099h%27%5C%5Ch%27%20%3D%200.08514)
Rate of change of height = 0.08514 in/sec
Answer:
number of cans Raina will be needed in court floor is 14 cans
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
Raina is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 46 feet and its width is 35 feet. Suppose each can of wood stain covers 115 square feet. How many cans will she need to cover the court?
CALCULATION;
Given:
length of the rectangular shape =46 feet
width of the the rectangular shape = 35 feet.
The floor of the court room is having a rectangular shape, then we need to calculate the surface Area of the rectangular shape first in order to know the number of cans that Raina will be needed
Surface Area= Length × Width
= 46feet × 35 feet
=1610 square ft
Then to get the number of cans , we need to divide the surface Area by each can of wood stain covers which is 115 square feet,
number of cans Raina will be needed in court = 1610 square ft / 115 square ft = 14
number of cans Raina will be needed in court floor is 14cans