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hodyreva [135]
3 years ago
9

Which best explains whether a triangle with side links 5 cm 13 cm and 12 cm is a right triangle

Mathematics
1 answer:
Genrish500 [490]3 years ago
5 0

Answer:

5^{2} + 12^{2} = 13^{2}\\25+144=169

Step-by-step explanation:

Squaring base and adjacent then adding them and finally getting the squareroot of the sum gives hypotenuse of a right angle triangle. In this case, squaring 5 and 12 then getting their square roots gives you 13, proving that it is a right angle

Here is the proof

5^{2}=25\\12^{2}=144\\13^{2}=169\\25+144=169

Therefore, the above dimensions are for a right angled triangle.

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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
Is 0.4 over 0.8 a rational or irrational number
Rudik [331]
It is a rational number and it equals 0.5 or 1/2
5 0
3 years ago
(PLEASE HELP!! AND NO LINKS OR I WILL REPORT YOU!)
Darina [25.2K]

Answer:

10x + 15

Step-by-step explanation:

x - 1 = 1 (2).

x + 4 x 10x + 15 / 2.445

x + 4 (2) / 2.445 = x1 - 4

10x + 15

3 0
3 years ago
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Find the area of this circle.<br> Use 3.14 to approximate<br> A = ar2<br> 20 ft
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Answer:

314

Step-by-step explanation:

6 0
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Help <br> What is the angle measurement of the missing angle in the picture below?
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Answer:

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Step-by-step explanation:

90 + 22 = 112

180 - 112 = 68

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