Write the power set of the set A={a,b,c}
1 answer:
Answer:
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
Step-by-step explanation:
➨ Power Set is the set of all subsets.
First, find the subset of A.
{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅
If you aren't sure that you already have written all subsets or not, use the following formula.
➩ where n is the number of element/members.
Our number of members are 3, use the following formula.
Thus, our subsets should be 8.
As we've already gathered all subsets, write the braces all whole subsets.
P(A) = {{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c},∅}
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Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard = = 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
