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r-ruslan [8.4K]
3 years ago
6

In the triangle below, y= . Round to the nearest tenth

Mathematics
2 answers:
horsena [70]3 years ago
8 0

Use cosine.

cosine={adjacent}{hypotenuse}

We have:

adjacent = 9cm and hypotenuse = 17 cm

\cos x=\dfrac{9}{17}\approx0.5294\to x\approx58^o

qwelly [4]3 years ago
4 0

Answer:

x = 58°

Step-by-step explanation:

In the given right angle triangle we have to find the value of x.

In this triangle one leg is given as 9 cm and hypotenuse is 17 cm.

Since  cos x = \frac{\text{Adjacent leg}}{Hypotenuse}

          cos x = \frac{9cm}{17} = 0.52941

               x = cos^{-1} (0.52941)

                  = 58.03  ≈ 58°

Therefore, x = 58° is the answer.

                         

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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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4 years ago
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Sladkaya [172]

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

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360 ===》 120 - ( 360 × 0.1428 ) =

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_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

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Step-by-step explanation:

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