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klasskru [66]
2 years ago
6

I really don't get what the top box is asking me what to do

Mathematics
1 answer:
Kay [80]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>The circle has a circumference:</u>

  • C = 2πr

This the is arc of full length θ = 360°

<u>Each degree of arc length is:</u>

  • s = 2πr*θ / 360 = πrθ / 180

<u>We have:</u>

  • r = 6 in and θ = 25°

<u>The arc length is:</u>

  • s = π*6*25/180 = (5/6)π inches terms of π

<u>The same arc is:</u>

  • s = (5/6)*3.14 = 2.62 inches (rounded)
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Using fermat's little theorem, find the least positive residue of $2^{1000000}$ modulo 17.
torisob [31]
Fermat's little theorem states that
a^p≡a mod p

If we divide both sides by a, then
a^{p-1}≡1 mod p
=>
a^{17-1}≡1 mod 17
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Rewrite
a^{1000000} mod 17  as
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and apply Fermat's little theorem
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=>
=(1) mod 17

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a^{1000000}≡1 mod 17

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