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harkovskaia [24]
3 years ago
7

The scale on a map is 1cm : 7 km. If the two cites are 14 cm apart on the map, what is the actural ; distance between the cites

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0
98 km just 7×14=98 that should be the answer
astraxan [27]3 years ago
3 0
98 km because 7 x 14 = 98
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Answer:

<h2>12(cos120°+isin120°)</h2>

Step-by-step explanation:

The rectangular form of a complex number is expressed as z = x+iy

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In polar form, x = rcos\theta \ and\ y = rsin\theta

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Given the complex number, z = -6+6\sqrt{3} i. To express in trigonometric form, we need to get the modulus and argument of the complex number.

r = \sqrt{(-6)^{2}+(6\sqrt{3} )^{2}}\\r = \sqrt{36+(36*3)} \\r = \sqrt{144}\\ r = 12

For the argument;

\theta = tan^{-1} \frac{6\sqrt{3} }{-6} \\\theta = tan^{-1}-\sqrt{3}  \\\theta = -60^{0}

Since tan is negative in the 2nd and 4th quadrant, in the 2nd quadrant,

\theta =180-60\\\theta = 120^{0}

z = 12(cos120°+isin120°)

This gives the required expression.

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