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Leona [35]
2 years ago
5

Determine in which quadrant the product of 5(cos3pi/8 + isin 3pi/8) and sqrt 2(cos pi/12 + sin pi/12) lies.

Mathematics
1 answer:
ohaa [14]2 years ago
6 0
When you multiply two complex numbers given in polar form, the argument of the product is the sum of the arguments of the factors. Meanwhile, the modulus of the product is the product of the moduli of the factors.


In this case, you'd have

\dfrac{3\pi}8+\dfrac\pi{12}=\dfrac{11\pi}{24}

and the modulus would simply be 5\sqrt2. Since

\dfrac{11\pi}{24}

we would expect the final product to fall in the first quadrant.
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Quincy is going on a vacation to Australia. His flight leaves at 9:50 A.M. It takes 20 minutes to get to the airport, and Quincy
ikadub [295]

If it takes 20 minute to get to the airport, and he wants to be there an hour and 5 minutes before his flight leaves, we have to subtract the time he leaves (9:50) by 1 hour and 5.

9:50 - 1 hour and 5 minutes.

9:50 - 65 minutes.

9:50 - 65 = 8:45.

Which means he must be at the airport at 8:45.

BUT,

The question is asking for the latest time that Quincy can LEAVE for the airport, which means it's 8:45 - 20 minutes, since it takes 20 minutes to get to the airport:

8:45 - 20 = 8:25

4 0
3 years ago
Read 2 more answers
Josh at has a collection of 1,200 music CDs. He considers 1/6 of his collection rock music. Of the rock music CDs 20 percent by
SpyIntel [72]

Answer:

Step-by-step explanation:

Josh has a collection of 1,200 music CDs. He considers 1/6 of his collection rock music. This means that the number of rock music CDs that he has is

1/6 × 1200 = 200

Of the rock music CDs, 20 percent are by solo artist. This means that the number of CDs by solo artist is

20/100 × 200 = 40

Of the solo artist 2/5 are by female artist. It means that the number done by female solo artists is

2/5 × 40 = 16

5 0
3 years ago
Please help me with these questions
Sindrei [870]
1) 8^-24 = 1 / 8^24
2) 6^-1 = 1/6
3) 5^-8 = 1 / 5^8
4) -3^1 = -3
5) 4^-4 = 1 / 4^4
6) 5^9
7) 8^-3 = 1 / 8^3
8) 9^4
9) 7^1 = 7
10) 2^-4 = 1 / 2^4

6 0
2 years ago
Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ
solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

3 0
3 years ago
Please help me!!!!! You have to match the slope of each line
lys-0071 [83]

Answer:

it would be line to zero slope that's all I can do for u pal maybe..

3 0
2 years ago
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