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sleet_krkn [62]
3 years ago
9

Can someone help me with my math I don't understand it

Mathematics
1 answer:
MArishka [77]3 years ago
6 0

Answer:

  317°

Step-by-step explanation:

The total measure of the angles around the center of the circle is 360°. The sum of angles in each half (above AB or below AB) is half that, or 180°. So, the sum of angles below the line is 180°. We can use that fact to find x, then the measures of all of the angles.

  (7x +1)° +90° +(9x -7)° = 180°

  16x = 96 . . . . . divide by °, subtract 84

  x = 6 . . . . . . . . divide by 16

Then angle AOD is ...

  (7·6 +1)° = 43°

Short arc AD is 43°, so long arc ACD is 360° -43° = 317°.

  arc ACD = 317°

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Consider generating length-7 strings of lowercase letters. How many strings are there that either begin with 2 consonants or end
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Answer:

5259544316

Step-by-step explanation:

Given that:

Length of string = 7

Either begins with 2 consonants or ends with 2 vowels :

Either or :

A U B = A + B - (AnB)

Number of vowels in alphabet = 5

Number of consonants = 21

2 consonants at beginning :

First 2 consonants, then the rest could be any:

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3 vowels at the end :

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Hence,

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= 5259544316

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