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Pavel [41]
3 years ago
9

Find the integer that lies between

101%7D%24" id="TexFormula1" title="$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$" alt="$\sqrt[3]{-45}$ and $\sqrt[3]{-101}$" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
4 0

∛(-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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6 0
3 years ago
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Karo-lina-s [1.5K]

Answer:

∠L = 43°

∠M = 121°

∠N = 16°

Step-by-step explanation:

<u>Start by setting all sides equal to 180</u>

3x - 5 + 7x + 9 + x = 180

<u>Add like terms</u>

11x + 4 = 180

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<u>Now, plug in 16 for all instances of x on the triangle and solve.</u>

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4 0
3 years ago
The volume of a cone is 1/3 that of a cylinder when the radius and height are the same (v= 1/3(pi)(r)^2(h). What is the volume o
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\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}

Actually Welcome to the Concept of the Surface Areas and Volumes.

Since, Volume of cone = 1/3 π r^2 h,

here, r = 10 Inches and h= 12 inches, also π =3.14

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olganol [36]

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180/60 = 300

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7 0
3 years ago
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