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3 years ago

If (NN)^3 = 8518N, what digit does N represent?

Mathematics

1 answer:

sveticcg [70]3 years ago

7 0

Answer:

Step-by-step explanation:

I am going to solve this by trial and error:

(A) 1

Is: $(11)^{3} = 85181$ ?

$(11)^3 = 1331$

So 1 is not the digit of N.

(B) 2

Is: $(22)^{3} = 85182$ ?

$22^3 = 10648$

So 2 is not the digit of N.

(C) 4

Is: $(44)^{3} = 85184$ ?

$44^3 = 85184$

Correct, so the answer is c.

(D) 5

$55^3 = 166375 \neq 85185$

(E) 6

$66^3 = 287496 \neq 85186$

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The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

yan [13]

Answer:

The length of the side of an equilateral traingle $s=2\sqrt{2}$ inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

$A=3^\frac{1}{2}s^2$

It can be written as

$a=\frac{\sqrt{3}}{4} s^2$ Square inches (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is $12^\frac{1}{2}$ square inches

It can be written as

$A=12^\frac{1}{2}$

$A=\sqrt{12}$ square inches

It can be written as

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$A=\sqrt{12}$ square inches (2)

Now comparing equations (1) and (2) we get

$\frac{\sqrt{3}}{4}s^2=\sqrt{12}$

$\frac{\sqrt{3}}{4}s^2=\sqrt{4\times 3}$

Dividing by $\frac{\sqrt{3}}{4}$ on both sides we get

$\frac{\frac{\sqrt{3}}{4}s^2}{\frac{\sqrt{3}}{4}}=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{4}}$

$\frac{\sqrt{3}}{4}s^2\times\frac{4}{\sqrt{3}}=2\sqrt{3}\times\frac{4}{\sqrt{3}}$

$s^2=8$

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Therefore $s=2\sqrt{2}$ inches

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The reason the above value for Daemon's speed is correct is as follows:

The known parameters are;

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Method:

By dimensional analysis, we note that the given quantities have the same units, and therefore, they represent the same quantity of speed

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