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Mashutka [201]
3 years ago
5

Write the power set of the set A={a,b,c}​

Mathematics
1 answer:
Burka [1]3 years ago
8 0

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.

2^n ➩ where n is the number of element/members.

Our number of members are 3, use the following formula.

2^3=8

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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4. 715

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3 years ago
1) What part of 20 is 5?<br> 2) What part of 20 is 12?
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Answer:

  1. 1/4
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Step-by-step explanation:

You find the part by expressing the ratio as a fraction, then simplifying.

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5 is 1/4 of 20.

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2. 12/20 = (3·4)/(5·4) = (3/5)·(4/4) = 3/5

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A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperbo
svet-max [94.6K]

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 = \frac{18}{2} = 9 in

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2) Perimeter of the paperboard that remains after the semicircle is removed

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