MATHEMATICS MIDDLE SCHOOL

Z=2+5i. Convert the complex number to trigonometric form.

Answers

Answer 1

Answer:

Answer:

$z = √(29) ( \cos \: 68 \degree + i \sin 68 \degree)$

Step-by-step explanation:

The trigonometric form of complex numbers is when the complex number is in polar form.

This is given by

$z = r( \cos \theta + i \sin \theta)$

where the modulus r is given by

$r = \sqrt{{2}^(2) + {5}^(2) }$

$r = √(4 + 25)$

$r = √(29)$

and the argument is given by

$\theta = \tan \:^( - 1) ( (y)/(x))$

$\theta = \tan \:^( - 1) ( (5)/(2))$

$\theta = 68 \degree$

The trigonometric form then becomes:

$z = √(29) ( \cos \: 68 \degree + i \sin 68 \degree)$

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Our football team won 3/4 of the games that it played. It won 12 games. How many games did it play?

Answers

$(3)/(4)x=12\to x=12:(3)/(4)\to x=12\cdot(4)/(3)\to x=4\cdot4\to x=16\n\nAnswer:Footballs\ team\ played\ 16\ games.$

3/4 with 12 games won. 3/4 = 75% they played 12/16 total 16 games
3/4 = 12/? 4
3*4 =12
4*4 = 16

Find the value of x for which t ll m

A.59
B.134
C.144
D.54

Answers

A. 59

The step by step explanation is above.

)) Duncan had 15 stickers. He bought 13 stickers from a store in the mall and got 6 stickersfor his birthday. Then Duncan gave 3 of the stickers to his sister and used 10 to decorate a
greeting card. How many stickers does Duncan have left?

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

15 +13+6-3-10=21

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