Answer:
Part A)
Part B)
Step-by-step explanation:
Part A)
we have the formula of the volume of a cylinder
Solve for h
That means ----> isolate the variable h
Divide both side by πr²
Simplify
Rewrite
Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm
we have
substitute in the formula and solve for h
Answer:
Step-by-step explanation:
<em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>
A random supporter roots the home team with probability 0.9, and the away team with probability 0.1.
Choosing 6 out of 8 supporters who root for the home team has probability
Answer:
Remember, if B is a set, R is a relation in B and a is related with b (aRb or (a,b))
1. R is reflexive if for each element a∈B, aRa.
2. R is symmetric if satisfies that if aRb then bRa.
3. R is transitive if satisfies that if aRb and bRc then aRc.
Then, our set B is .
a) We need to find a relation R reflexive and transitive that contain the relation
Then, we need:
1. That 1R1, 2R2, 3R3, 4R4 to the relation be reflexive and,
2. Observe that
Therefore is the smallest relation containing the relation R1.
b) We need a new relation symmetric and transitive, then
and the analysis for be transitive is the same that we did in a).
Observe that
Therefore, the smallest relation containing R1 that is symmetric and transitive is
c) We need a new relation reflexive, symmetric and transitive containing R1.
For be reflexive
For be symmetric
For be transitive
Then, the smallest relation reflexive, symmetric and transitive containing R1 is