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madam [21]
3 years ago
13

Use the given values to find the missing lengths in the figure. If necessary, express your answer as a

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

√33 cm

Step-by-step explanation:

We know that this is a right triangle, which means that we can apply the Pythagorean Theorem, which states that for a right triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, a = 4 and c = 7, so plug thes in to find b:

a² + b² = c²

4² + b² = 7²

b² = 49 - 16 = 33

b = √33

The answer is thus √33 cm.

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Answer:

1/3

Step-by-step explanation

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4 years ago
A corporation must appoint a president, chief executive officer, chief operating officer and chief financial officer. It also ap
erik [133]

Answer:

Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.

Step-by-step explanation:

As the complete question is not given a similar question is found online and is attached herewith.

Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.

Number of Candidates=12

Number of Posts=4

As the order is important the number of ways are identified using Permutations given as

Number\,\ of\, ways=^{12}P_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!}\\Number\,\ of\, ways=\frac{12!}{8!}\\Number\,\ of\, ways=11880

So the number of ways in which the candidates can be appointed on the executive posts are 11880.

Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.

Number of Candidates=12

Number of Posts=4

As the order is not important the number of ways are identified using Combinations given as

Number\,\ of\, ways=^{12}C_4\\Number\,\ of\, ways=\frac{12!}{(12-4)!4!}\\Number\,\ of\, ways=\frac{12!}{8!4!}\\Number\,\ of\, ways=495

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.

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3 years ago
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Sedaia [141]
3 carries of 8 yds.....3 * 8 = 24 yds
5 carries of 6 yds.....5 * 6 = 30 yds

so we have a total of 8 carries for 54 yds..

54/8 = 6.75 <== average yds per carry
8 0
3 years ago
Read 2 more answers
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Answer:

150

Step-by-step explanation:

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