For this case, the first thing we must do is to take into account the following transformation of units:
1 revolution = 2pi radians
1 minute = 60 seconds
Applying the transformation of units we have:
Answer:
To the nearest hundredth, the angular velocity of the drum is 78.54 radians per second.
Answer:
Domain of piece 1:[) -4,-1
Domain of piece 2: [) -1,1
Domain of piece 3:[] 1,5
Step 2:
Rule for piece 1: y=-x
Rule for piece 2: y=1
Rule for piece 3: y=2-x
Step-by-step explanation:
Correct on Edgen
Answer:
There are total 5 layers.
Step-by-step explanation:
A multi-layer cake is in the shape of a right cylinder.
Height of the cake is = 20 cm
Radius is = 10 cm
Each of the cake layers has a volume of approximately 1,250 cm³.
Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.
Volume of the cylinder is given as:
h = 3.98 or approximately height of 1 layer is 4 cm.
As the cake's height is 20 cm so, there are 
layers in the cake.
Answer: There are 5 layers in the cake.
The equation used for this is
=
if you knew n then we could solve this equation
AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B.
. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula:
![C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B%20x_%7B1%7D%20%2Bk%28run%29%2C%20y_%7B1%7D%20%2Bk%28rise%29%5D)
. Filling in accordingly, we have
![C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B-3%2B%20%5Cfrac%7B1%7D%7B8%7D%2812%29%2C9%2B%20%5Cfrac%7B1%7D%7B8%7D%28-4%29%5D%20%20)
which simplifies a bit to
. Finding common denominators and doing the math gives us that the coordinates of point C are
. There you go!
