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3 years ago

Please help ASAP!!!!!

Mathematics

1 answer:

Viefleur [7K]3 years ago

3 0

Use pythagorean’s theorem
as you can see it’s a right isosceles triangle

so your equation is adapted to this:
p^2 + p^2=44^2
add like terms and simplify
2p^2=1936
divide by 2
p^2=968
square root
p= √968
simplify
p=22√2

the answer would be your second option

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Multiplication in GF(24 ): Compute A(x)B(x) mod P(x) in GF(24 ) using the irreducible polynomial P(x) = x 4 + x + 1, where A(x)

tankabanditka [31]

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Step-by-step explanation:

hello,

i advice you check the question again if it is GF( $2^{4}$ ) or GF(24). i believe the question should rather be in this form;

multiplication in GF( $2^{4}$ ): Compute A(x)B(x) mod P(x) = $x^{4}$ + $x$ +1, where A(x)= $x^{2}$ +1, and B(x)= $x^{3} + x+1$ .

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)= $(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1 ) = (x^{5} +x^{3}+x^{2} ) + (x^{3}+x+1 ) mod (x^{4} + x+1 )$

= $x^{5}+2x^{3} +x^{2} + x + 1 mod(x^{4}+x+1 )$

= $2x^{2} +1$

please note that the division by the modulus above we used

$\frac{x^{5}+2x^{3}+x^{2} +1 }{x^{4}+x+1}= x+\frac{2x^{3} +1}{x^{4}+x+1}$

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3 years ago

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Quotient is 21

Step-by-step explanation:

Step 1:

Divide 85 by 4. Using long division method, find the quotient.

21

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Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

$(cos \alpha )^2 + (sin \alpha )^2 =1$

2) From which you can find:

$(cos \alpha )^2 = 1 - (sin \alpha )^2$

3) Replace sin(α) with 1/4

=> $(cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16$

=> $cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4$

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = $\sqrt{15} /4$ .

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