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trasher [3.6K]
2 years ago
5

Use the diagram below to determine the height of the flagpole

Mathematics
1 answer:
Yanka [14]2 years ago
6 0

Answer:

the flagpole is 12 ft  

Step-by-step explanation:

2.5 ft / 4 ft = 7.5 ft / x ft

2.5x = 30

2.5x/2.5 = 30/2.5

x = 12 ft

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"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"
erastovalidia [21]

Answer:

The exam can be answered with exactly 8 answers correct in 6435 ways.

Step-by-step explanation:

The order is not important.

For example, answering correctly the questions 1,2,3,4,5,6,7,8 is the same outcome as answering 2,1,3,4,5,6,7,8. So we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

"There are 15 questions on an exam. In how many ways can the exam be answered with exactly 8 answers correct?"

Combinations of 8 questions from a set of 15. So

C_{15,8} = \frac{15!}{8!(15-8)!} = 6435

The exam can be answered with exactly 8 answers correct in 6435 ways.

5 0
3 years ago
17/26 in simplest form
zzz [600]

since 17 is a prime number and 26 is not a multiple of 17

17/26 is in simplest form

8 0
3 years ago
Read 2 more answers
How do you divide 3.6 by 2.952
Murrr4er [49]

Answer:

1.21951219512

Step-by-step explanation:

4 0
3 years ago
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In circle D with m \angle CDE= 76m∠CDE=76 and CD=13CD=13 units find area of sector CDE. Round to the nearest hundredth.
Ksju [112]

Answer:

112.03sq. units

Step-by-step explanation:

The area of a sector = theta/360 * πr²

The area of a sector = 76/360 * 3.14 * 13²

The area of a sector = 76/360 * 530.66

The area of a sector = 40,330.16/360

The area of a sector = 112.03sq. units

This gives the area of the sector

7 0
3 years ago
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