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denpristay [2]
2 years ago
14

Need help its sector area

Mathematics
1 answer:
Paladinen [302]2 years ago
8 0

Area of sector

=  \frac{30}{360}  \times  \pi \times  {(radius)}^{2}

=  \frac{30}{360}  \times  \ \frac{22}{7}  \times  {(12)}^{2}

=  \frac{30}{360}  \times  \ \frac{22}{7}  \times  12 \times 12

so the area = 37.71 square metre

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The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

<h3>What is the rule of product in combinatorics?</h3>

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in p \times q ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We're specified that:

  • The password needs to be 4 characters long
  • It must have 3 letters and 1 of 10 special characters.
  • Repetition is allowed.

So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).

And that 1 remaining character get 10 ways of being a special character.

So, by product rule, this choice (without ordering) can be done in:

26 \times 26 \times 26 \times 10 = 175760 ways.

Now, the password may look like one of those:

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  2. L, L, S, L
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where S shows presence of special character and L shows presence of letter.

Those 175760 ways are available for each of those four ways.

Thus, resultant number of ways this can be done is:

175760 \times 4 = 703040

Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040

Learn more about rule of product here:

brainly.com/question/2763785

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Step-by-step explanation:

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