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Ber [7]
3 years ago
12

Why did the Mountain Men era come to an end?

Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0
I think the answer is D. The U.S. passed laws protecting the beaver.
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Suppose z = . What is z4?<br><br> on EDGE 2020
Free_Kalibri [48]

Answer:

z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}

Step-by-step explanation:

We can determine the power of a complex number by the De Moivre's Theorem, which states that for all z = r\cdot (\cos \theta + i\,\sin\theta), where a, b \in \mathbb{R}, the power of the complex number is:

z^{n} = r^{n}\cdot (\cos n\theta + i\,\sin n\theta) (1)

Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number.

If we know that r = 1, n = 4 and \theta = \frac{2\pi}{3}, then the fourth power of the complex number is:

z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right]

z^{4} = \cos \frac{8\pi}{3}+i\,\sin \frac{8\pi}{3}

5 0
3 years ago
Read 2 more answers
Suppose that theta is an angle in standard position whose terminal side Intersects the unit circle at (-11/61, -60/61)
Blizzard [7]

Answer:

The exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

Step-by-step explanation:

The components of the unit vector are x = -\frac{11}{61} and y = -\frac{60}{61}. Since r = 1, then x = \cos \theta and y = \sin \theta. By Trigonometry, tangent and secant can be calculated by the following expressions:

\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}

\sec \theta = \frac{1}{\cos \theta} = \frac{1}{x}

Now, the exact values of the tangent, secant and cosine of angle theta are, respectively:

\cos \theta = -\frac{11}{61}

\tan \theta = \frac{-\frac{60}{61} }{-\frac{11}{61} } = \frac{60}{11}

\sec \theta = \frac{1}{-\frac{11}{61} } = -\frac{61}{11}

3 0
3 years ago
Toni rides the Ferris wheel shown for 15 revolutions. A photo of a Ferris wheel has the diameter labeled fifty-six feet. Questio
NARA [144]

Answer:

a. 176 feet b. 2640 feet

Step-by-step explanation:

a. Since the diameter of the Ferris wheel is D = 56 feet, the distance Toni travels in one revolution is the circumference of the Ferris wheel, C = πD.

So C = 22/7 × 56 ft = 22 × 8 ft = 176 feet

b. The distance traveled in 15 revolutions is thus D' = 15 × distance of one revolution = 15 × 176 = 2640 feet

5 0
3 years ago
Round to the nearest tenth. 8.54
Katarina [22]
The answer would be 8.5. 8.54 rounds down to 8.54. 
Hope this helps!
Can u plz mark me as brainliest?
4 0
3 years ago
Read 2 more answers
What is the greatest common factor of 4k, 18k4, and 12?
Setler [38]

Answer:  The greatest common factor is 2.

Step-by-step explanation:  We are given to find the greatest common factor of the following expressions:

E_1=4k,~~E_2=18k^4,~~E_3=12.

<u>Greatest Common Factor:</u>  The GCF of two or more numbers (expressions)  is the greatest factor that divides all the numbers or expressions.

We have

E_1=4k=2\times 2\times k,\\\\E_2=18k^4=2\times 3\times 3\times k\times k\times k\times k,\\\\E_3=12=2\times 2\times 3.

Therefore, the greatest common factor will be

G.C.F.=2.

Thus, the required greatest common factor is 2.

6 0
3 years ago
Read 2 more answers
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