Answer:
A
Step-by-step explanation:
So that is a 90 degree angle and there is an angle of 30. 30-90 is 60. 60 divided by 4 is 15. So thus the answer is A,15.
It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So, ![P(B\cap T)=0.30](https://tex.z-dn.net/?f=P%28B%5Ccap%20T%29%3D0.30)
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So, ![P(B/T)=\frac{P(B\cap T)}{P(T)}](https://tex.z-dn.net/?f=P%28B%2FT%29%3D%5Cfrac%7BP%28B%5Ccap%20T%29%7D%7BP%28T%29%7D)
![P(B/T)=\frac{0.30}{0.45}](https://tex.z-dn.net/?f=P%28B%2FT%29%3D%5Cfrac%7B0.30%7D%7B0.45%7D)
= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer:
Part (A) The required volume of the column is
.
Part (B) The volume be
.
Step-by-step explanation:
Consider the provided information.
It is given that the we have a square with side length "s" lies in a plane perpendicular to a line L.
Also One vertex of the square lies on L.
Part (A)
Suppose there is a square piece of a paper which is attached with a wire through one corner. As you blow it up it spins around on the wire.
This square moves a distance h along L, and generate a corkscrew-like column with square.
The cross section will remain the same.
So the cross section area of original column and the cross section area of twisted column at each point will be the same.
The volume of the column is the area of square times the height.
This can be written as:
![s^2h](https://tex.z-dn.net/?f=s%5E2h)
Hence, the required volume of the column is
.
Part (B) What will the volume be if the square turns twice instead of once?
If the square turns twice instead of once then the volume will remains the same but divide the volume into two equal part.
![s^2h=\frac{s^2h}{2}+\frac{s^2h}{2}](https://tex.z-dn.net/?f=s%5E2h%3D%5Cfrac%7Bs%5E2h%7D%7B2%7D%2B%5Cfrac%7Bs%5E2h%7D%7B2%7D)
Hence, the volume be
.
Answer:
To find the volume, we must find the area of the circle and multiply it by its height, think of a cylinder as an object made up of MANY circles. So, V=pir^2h... so diameter is 6cm so radius = 3cm...
therefore, Volume = (pi)(3^2)(12) = 108(pi)
where 12 = height 3 = radius
For the surface area, we need to find the area of the 2 circles(top and bottom ) so once again,
2(pi)(r^2) = 2(pi)(9)
for the area of the rectangle(if we unfold the cylindrical can) we get D(pi)(12) where D= Diameter
so the surface area is
SA = (2)(9)(pi) + 6(pi)(12)
SA = 18pi + 72pi = 90pi
Answer:
67 degrees
Step-by-step explanation:
46 + 67 + x = 180
x = 67