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polet [3.4K]
3 years ago
13

Can someone answer this fast!!!

Mathematics
1 answer:
Otrada [13]3 years ago
4 0

Answer:

=6\sqrt{3}

Step-by-step explanation:

This triangle is the same as a right triangle rotated around.

Pythagorean Theorem applies to this (because it's a right triangle)

a^{2} +b^{2} =c^{2}

36+b^{2} =144

144-36=108\\b^{2} = 108\\\sqrt{108} = 10.39\\ = \sqrt{b^{2} } \\b=10.39

x=10.39

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Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-
Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

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Write 1. 995x10^-22 in standard form.
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If the ratio of milk cartons to juice boxes is 13:x and there are 39 milk cartons
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