Find the value of arc AD

Mathematics

1 answer:

LenaWriter [7]3 years ago

7 0

So hmmm if we use the "intersecting chords theorem", the angle of 93°, is really 1/2 * (arcBC + arcAD)

thus $\bf 93=\cfrac{1}{2}(\widehat{BC}+\widehat{AD})\implies 93=\cfrac{161+\widehat{AD}}{2}
\\\\\\
186=161+\widehat{AD}\implies 186-161=\widehat{AD}$

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A laptop lock has a 4 digit combination. Each character can be any digit between 0-7. The only restriction is that all 4 charact

Alex777 [14]

$4088$ are possible combinations .

Step-by-step explanation:

Here we have , A laptop lock has a 4 digit combination. Each character can be any digit between 0-7. The only restriction is that all 4 characters cannot be the same (e.g. 0000, 1111, 2222,... etc.). We need to find How many combinations are possible .Let's find out:

The first digit has 8 choices (can be all of them), the second digit also has 8 choices. The third and fourth digits also have 8 choices.

Multiply them together you get:

⇒ $8(8)(8)(8)$

⇒ $4096$ possible combinations.

But since all 4 characters cannot be the same, we subtract 8 from 4096 (there are 8 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, and 0000) and we get :

⇒ $4096-8$