It should take 4 years, please mark me brainliest it would mean a lot and if you want an explanation, Comment and I’ll help you out
Answer:
x=51
Step-by-step explanation:
There are two ways you can go about this
You can either say that the sum of interior angles in a triangle is equal to 180 so you do 180-39-90=51
Or you could use the exterior angle theorem, which means that 90=39+x, simplify that and you get that x=51
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
The volume of a cone is given by

where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:

And
(2)
We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.
Answer:
Step-by-step explanation:
Given
radius of sphere 
Hole is drilled with radius 
Now this drilled hole will be in the form of Cylinder with height equals to diameter of sphere thus
Volume of drilled hole is



Volume of Sphere



Remaining volume 

Answer:
Part A- 6
Part B- 3
Part C- 3/22100
Step-by-step explanation:
Part A-
Use the permutation formula and plug in 3 for n and 2 for k.
nPr=n!/(n-k)!
3P2=3!/(3-2)!
Simplify.
3P2=3!/1!
3P2=6
Part B-
Use the combination formula and plug in 3 for n and 2 for k.
nCk=n!/k!(n-k)!
3C2=3!/2!(3-2)!
Simplify.
3C2=3!/2!(1!)
3C2=3
Part C-
It is given that the total number of three-card hands that can be dealt from a deck of 52 cards is 22100. Use the fact that the probability of something equals the total successful outcomes over the sample space. In this case the total successful outcomes is 3 and the sample space is 22100.
I believe the answer is 3/22100
I honestly suck at probability but I tried my best.