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vaieri [72.5K]
3 years ago
15

Help with this question, please!! I need some help ASAP!

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

C

Step-by-step explanation:

C is the most logical answer

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Sonbull [250]

Answer:

18

Step-by-step explanation:

The distance is 12 - (-6) = 12 + 6 = 18

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Find the exact value of cos(7\pi /12)
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7π/12 lies in the second quadrant, so we expect cos(7π/12) to be negative.

Recall that

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\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1+\cos\left(\frac{7\pi}6\right)}2}

Now,

\cos\left(\dfrac{7\pi}6\right)=-\cos\left(\dfrac\pi6\right)=-\dfrac{\sqrt3}2

and so

\cos\left(\dfrac{7\pi}{12}\right)=-\sqrt{\dfrac{1-\frac{\sqrt3}2}2}=\boxed{-\dfrac{\sqrt{2-\sqrt3}}2}

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3 years ago
Perform the modular arithmetic. (7 · 15) (mod 4)
Reika [66]

We could do it by first writing

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so that

7\cdot15\equiv4^2+14\cdot4+33\equiv33\pmod4

and since 33=32+1=8\cdot4+1, we have

7\cdot15\equiv33\equiv1\pmod4

# # #

Alternatively, we can just compute the product and take it mod 4:

7\cdot15=105=104+1=26\cdot4+1

and so we get the same result of 1.

4 0
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