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Andre45 [30]
2 years ago
14

The speed of light is approximately 299,000,000 meters per second.

Mathematics
1 answer:
jek_recluse [69]2 years ago
7 0

Answer:

2.99 x 10⁸ meters per second

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form of a \times 10^n, where  1\leq a < 10  and  n is any positive or negative whole number.

To <u>convert</u> a number into <u>scientific notation</u>, move the decimal point to the left or right until there is <u>one digit before the decimal point.</u>

The number of times you have moved the decimal point is the power of 10 (n).

If the decimal point has moved to the <u>left</u>, the power is <u>positive</u>.

If the decimal point has moved to the <u>right</u>, the power is <u>negative</u>.

<u>To convert the given number to scientific notation</u>

The decimal point for the given number 299000000 is after the last zero:

⇒  299000000.

Move the decimal point 8 places to the left:  

⇒ 2.99000000

Get rid of the redundant zeros:

⇒ 2.99

Multiply by 10 to the power of the number of decimal places moved:  

⇒ 2.99 x 10⁸

Therefore, the speed of light using scientific notation is:

  • 2.99 x 10⁸ meters per second
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Answer:

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Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

z = a+i\,b (1)

Where each coefficient can be determined as function of the polar components:

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Where:

r - Magnitude of the complex number, dimensionless.

\theta - Direction of the complex number, measured in radians.

If we know that r = 40 and \theta = \frac{7\pi}{6}, then the rectangular form of the number is:

a = 40\cdot \cos \frac{7\pi}{6}

a = -20\sqrt{3}

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The rectangular form of z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right) is z = -20\sqrt{3}-i\,20. The correct answer is C.

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Answer:

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