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2 years ago

Express 8e^i16pie in rectangular, polar and trignometric form?

Mathematics

1 answer:

Vinvika [58]2 years ago

7 0

Euler's formula immediately gives

$8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8$

and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.

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The width of a desk is 25 inches, or 63.5 centimeters. If a measurement in inches varies directly with a measurement in centimet

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3 years ago

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Please solve this question!!

GaryK [48]

Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

1st Draw 2nd Draw Outcome Probability

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(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

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2nd draw: 11 remaining Face cards out of 51 total remaining cards → 11/51

1st Draw 2nd Draw Outcome Probability

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(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

1st Draw 2nd Draw Outcome Probability

Black: P(B~) = 5/13 Black: P(B~₂/B~₁) = 19/51 B~,B~ (5/13) x (19/51) = 95/663

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(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

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3 years ago