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rewona [7]
3 years ago
10

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

Mathematics
1 answer:
sveticcg [70]3 years ago
7 0

Answer:

(C) 4

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

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

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

s=\sqrt{8}

Therefore s=2\sqrt{2} inches

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

3 0
3 years ago
Solve the inequality <br><br> 4x&lt;-12
Trava [24]
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5 0
3 years ago
If Bill was traveling v mi/h, how would you represent Daemon's speed in mi/h if he was traveling 45 mi/h faster?
VikaD [51]

The sum of two variables having the same units is given by adding the magnitudes of the quantities and expressing the outcome in the units of the quantities

Daemon's speed is (v + 45) mi/h

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

The known parameters are;

The speed with which Bill was travelling = v mi/h

The speed with which Daemon was travelling = 45 mi/h faster than Bill

Method:

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

To find Daemon's speed, the amount by which his speed is more than that of Bill's speed is added to the given amount of Bill's speed as follows;

Solution:

Daemon's speed = v mi/h + 45 mi/h = (v + 45) mi/h

Learn more about variable addition here:

brainly.com/question/22965573

brainly.com/question/242905

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