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docker41 [41]
3 years ago
6

What is the value of x?

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
7 0
We can use the Pythagorean theorum

a^2+b^2=c^2

c^2 is the length of the longest side squared

so 

6^2 + b^2 = 10^2

36+ b^2 = 100
-36               -36

b^2 = 64

b = 8

b is the same thing as your "x", so x = 8
oksian1 [2.3K]3 years ago
5 0

Answer:

8=x

Step-by-step explanation:

From the given figure, it is given that ABC is a right angled triangle whch is right angled at B and AC=10, AB=x and BC=6.

Now, since, ABC is a right angled triangle, therefore we can apply the Pythagoras theorem on this triangle, therefore we have

(AC)^2=(AB)^+(BC)^2

Substituting the given values, we get

(10)^2=(x)^2+(6)^2

100=x^2+36

100-36=x^2

64=x^2

8=x

Therefore, the value of x is 8.

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4088 are possible combinations .

<u>Step-by-step explanation:</u>

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.

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⇒ 8(8)(8)(8)

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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

⇒ 4088

Therefore, 4088 are possible combinations .

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