40 points what is the clue answer please do this
2 answers:
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Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
Lets look at the statements one by one.
<u>i. 4∈C</u>
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
<u>ii. 5∈C</u>
This statement is true as 5 is a member of C.
<u>iii. A=B</u>
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
<u>iv. B=C</u>
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Answer:
The radius of the cylinder is 3 inches.
Step-by-step explanation:
For any given cylinder, the volume can be expressed as:
volume = h
where r is the radius of its circular surface, and h is its height.
Given that: volume = 54π cubic inches, and the height = 6 inches.
then,
54 =
x
x 6
54 = 6
=
= 9
r =
r = 3
The radius of the cylinder is 3 inches.