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3 years ago

Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))

Mathematics

1 answer:

Marat540 [252]3 years ago

6 0

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30° = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

= 6 (√3/2) + i 6 (1/2)

= 3√3 + 3i

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One day in December the temperature in Dublin was -3°C, in Salerno it was 7°C, while in Murmansk it was -10°C.

sukhopar [10]

Answer:

Step-by-step explanation:

-10° C is the lowest temperature and 7°C is the highest temperature.

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What value of b will cause the system to have an infinite

m_a_m_a [10]

Answer:

$b=6$

Step-by-step explanation:

The correct question is

What value of b will cause the system to have an infinite number of solutions?

y = 6x – b

–3x + 1/2y = –3

we have

$y=6x-b$ ----->equation A

$-3x+\frac{1}{2}y=-3$ -----> equation B

we know that

If the system has infinite number of solutions then, the equation A must be equal to the equation B

isolate variable y in the equation B

$-3x+\frac{1}{2}y=-3$

Multiply by $2$ both sides

$-6x+y=-6$

$y=6x-6$ -------> new equation B

To find out the value of b, equate equation A and equation B

$6x-b=6x-6$

$b=6$

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3 years ago

A cell phone provider charges $120 per month. There is a 15% discount for those who also subscribe to home phone service. What p

Zepler [3.9K]

Answer: $102 per month

Step-by-step explanation:

15% off $120 means $120-(.15*$120) which is 120-18=$102. The .15 is the 15%, and 15% of 120 would be the whole multiplication.

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Tomas makes a balloon sculptures at a circus. In 180 minutes, he uses 253 balloons to make 36 identical balloon sculptures.

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3 years ago

Three students performed a science experiment using salt and a beaker. The beaker contained 530.2 grams of salt before the exper

anzhelika [568]

We are subtracting 3 * 47.36 from 530.2

3 * 47.36 = 142.08

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Your answer should be 388.12 grams left. Hope this helps!

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