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Katen [24]
3 years ago
15

What is d? 2/3 x d = 40

Mathematics
1 answer:
lys-0071 [83]3 years ago
3 0

Answer:

60

Step-by-step explanation:

2/3*d=40

d=40*3/2

d=60

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Find the complex fourth roots \[-\sqrt{3}+\iota \] in polar form.
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Let z=-\sqrt3+i. Then

|z|=\sqrt{(-\sqrt3)^2+1^2}=2

z lies in the second quadrant, so

\arg z=\pi+\tan^{-1}\left(-\dfrac1{\sqrt3}\right)=\dfrac{5\pi}6

So we have

z=2e^{i5\pi/6}

and the fourth roots of z are

2^{1/4}e^{i(5\pi/6+k\pi)/4}

where k\in\{0,1,2,3\}. In particular, they are

2^{1/4}e^{i(5\pi/6)/4}=2^{1/4}e^{i5\pi/24}

2^{1/4}e^{i(5\pi/6+2\pi)/4}=2^{1/4}e^{i17\pi/24}

2^{1/4}e^{i(5\pi/6+4\pi)/4}=2^{1/4}e^{i29\pi/24}

2^{1/4}e^{i(5\pi/6+6\pi)/4}=2^{1/4}e^{i41\pi/24}

7 0
3 years ago
How many 'faces' are on this square pyramid?​
qaws [65]

Answer:

5

Step-by-step explanation:

There are 5 faces on a square pyramid

7 0
3 years ago
2(6 − 2x) + 3x = 4 + 2(5 + x) what is x
alexira [117]
First let's get rid of the parenthesis:

12 - 4x + 3x = 4 + 10 + 2x

Now group the x's on the left and the numbers on the right

-4x + 3x - 2x = 4 + 10 - 12

...and simplify

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divide by -3 to isolate x

x = -2/3
5 0
3 years ago
Write the factor pairs for 46​
Natali5045456 [20]
• Factors of 46 =1, 2, 23, 46.

• Distinct Factors of 46 = 1, 2, 23, 46.
3 0
3 years ago
Three cyclists simultaneously start racing on a circular track at 7 am. It takes them 10 minutes, 25 minutes and 15 minutes resp
slega [8]

Answer:

9:30 am

Step-by-step explanation:

factors of 10;  5 and 2

factors of 15; 5 and 3

factors of 25; 5 and 5

calculate lcm so, 5x5x3x2 =150

150 mins = 2hr 30mins

7am+2hr30min = 9:30 am

6 0
3 years ago
Read 2 more answers
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