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3 years ago

What is (81m^6)^1/2 simplified

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

(81m^6)^1/2 = (3^4*1/2) (m^6*1/2) = 3²m³

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6(14+x)=108, umm please help

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Answer:

X = 4

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3 years ago

Between which two consecutive whole numbers does \sqrt{3} 3 lie? Fill out the sentence below to justify your answer and use yo

lyudmila [28]

Answer:

It lies between 5 and 6

Step-by-step explanation:

Two consecutive numbers are numbers that come after each other:

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Therefore, from the above calculation, we can see that square root of 3 is a number that is between consecutive numbers 5 and 6

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3 years ago

What is the measure of each angle in any equilateral triangle?

miskamm [114]

60°; all of of the angles of a triangle add up to 180° so 180 divided by 3 equals 60°.

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3 years ago

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A construction crew built

Leona [35]

Answer:

4 miles in 1 day

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4 0

3 years ago

4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface

White raven [17]

4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

$\sf (\dfrac{3}{4})^2=\dfrac{S}{96}$

Simplify the exponent:

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Cross multiply:

$\sf 9S=1536$

Divide 9 to both sides:

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So the surface area of the second solid is 54 square meters.

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$\sf (\dfrac{3}{4})^3=\dfrac{720}{V}$

Simplify the exponent:

$\sf \dfrac{27}{64}=\dfrac{720}{V}$

Cross multiply:

$\sf 27V=46080$

Divide 64 to both sides:

$\sf V\approx 1706.7~m^3$

5.

A globe is a sphere, use the formula for the volume of a sphere:

$\sf V=\dfrac{4}{3}\pi r^3$

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

$\sf V=\dfrac{4}{3}(3.14)(20)^3$

Simplify the exponent:

$\sf V=\dfrac{4}{3}(3.14)(8000)$

Multiply:

$\sf V\approx \boxed{\sf 33,493~in^3}$

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4 years ago

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