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Nadusha1986 [10]
2 years ago
11

Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)

Mathematics
1 answer:
ddd [48]2 years ago
3 0

6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o

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5 0
3 years ago
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stealth61 [152]

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46,499 digits

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9 pages numbered 1 - 9 that need 1 digit each = 9 × 1

= 9 digits

90 pages numbered 10 - 99 that need 2 digits each = 90 × 2

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900 pages numbered 100 - 999 that need 3 digits each = 900 × 3

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mixas84 [53]

Answer:

19 cows and 3 chickens

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17 cows and 7 chickens

16 cows and 9 chickens

15 cows and 11 chickens

Step-by-step explanation:

For example, the first one

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2 years ago
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Julli [10]

Answer:

25

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so, a ratio of 1:6 or a factor of 1/6.

150 × 1/6 = 150 / 6 = 25

so, we expect that out of the 150 sold cars 25 have been red.

3 0
3 years ago
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