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Anettt [7]
3 years ago
15

What is the approximate volume of this tree trunk if the circumference is 26π inches and the height of the trunk is 22 inches,

Mathematics
1 answer:
den301095 [7]3 years ago
4 0

Answer:

Volume = 11680.44 cubic inches

Step-by-step explanation:

Circumference of the trunk of a tree = 2πr

Here, r = radius of the trunk

26π = 2πr

r = 13 inch

Since, volume of the cylindrical trunk = πr²h

= π(13)²(22)

= 3718π

= 11680.44 cubic inches

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Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.
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Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

|E \cup F| = |E| + |F| - |E \cap F|

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We now alredy the following:

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|B \ (AUC)| = 65

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We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

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99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

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