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3 years ago

11

The bus driver made 6 stops on his way into town. No passengers exited the bus. By stop 3, there were 9 passengers on the bus.

How many stops did it take to have 13 passengers on the bus? A. 2 B. 3 C. 4 D.

2 answers:

Serggg [28]3 years ago

8 0

The answer is C. 4 to your question

Ahat [919]3 years ago

6 0

The answer is C. 4, i hope this helps!

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Which expression is a fourth root of -1+isqrt3?

aleksklad [387]

Answer:

Step-by-step explanation:

$\sf n^{th}$ roots of a complex number is given by DeMoivre's formula.

$\sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}$

Here, k lies between 0 and (n -1) ; n is the exponent.

$\sf -1 + i\sqrt{3}$

a = -1 and b = √3

$\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}$

$\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}$

$\sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})$

$\sf = \dfrac{-\pi }{3}$

n = 4

For k = 0,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi }{12}+iSin \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]$

For k =1,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]$

For k =2,

$z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]$

For k = 3,

$\sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]$

For k = 4,

$\sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]$

4 0

2 years ago

I would appreciate it if someone could help answer this problem:)

Vesna [10]

Answer:

x = 85°

Step-by-step explanation:

As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;

Sum of interior angles of a pentagon = (n - 2) * 180°

=> Sum of interior angles of a pentagon = (5 - 2) * 180°

=> Sum of interior angles of a pentagon = 3 * 180

=> Sum of interior angles of a pentagon = 540

Now that we know the sum of interior angles, we can set up the equation and solve for x;

115 + 95 + 115 + 130 + x = 540

455 + x = 540

x = 540 - 455

x = 85

Hope this helps!

4 0

2 years ago

What are some ways you can make a rectangle 10,000 cm squared (I NEED A AWNSER QUICK)

lidiya [134]

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

8 0

3 years ago

Find the quotient -14/7

AVprozaik [17]

The quotient is -2.

4 0

3 years ago

Help please..........

dem82 [27]

Answer:

Step-by-step explanation:

x is greater then -2

3 0

3 years ago