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3 years ago

Simplify the following expression 3°?

Mathematics

2 answers:

ipn [44]3 years ago

8 0

Answer: 1

Anything to the 0 power is 1

Step-by-step explanation:

slavikrds [6]3 years ago

3 0

Answer:

Step-by-step explanation:

As you may already know, the number (the base) to the power (the exponent) is how many times you multiply the base. For instance:

3² = 3 * 3

3³ = 3 * 3 * 3

However, anything to the zeroth power is 1.

Why?

Well, for those above examples, take 3², you can also write it as:

3² = 1 * 3 * 3

It's just 1 times how many of that number. In 3 squared, there are twos 3's, not to be confused with 3 * 2.

In 3 to the zeroth power, there are zero 3's:

3° = 1

Now it has only the one.

This is just the way I was taught to think about it, but I'm sure there's a better explanation than mine.

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Arada [10]

Answer:

1.8 in.

Step-by-step explanation:

Hi there!

1) Determine the radius of the base

$V=\frac{1}{3} \pi r^2h$ where r is the radius of the base and h is the height of the cone

Plug in the known values (h=4.2, V=3.6)

$3.6=\frac{1}{3} \pi r^2(4.2)$

Isolate r; divide both sides by 4.2

$\frac{3.6}{4.2} =\frac{1}{3} \pi r^2\\\frac{6}{7} =\frac{1}{3} \pi r^2$

Multiply both sides by 3

$\frac{6}{7}*3 =\pi r^2\\\frac{18}{7}=\pi r^2$

Divide both sides by π

$\frac{18}{7\pi }=r^2$

Take the square root of both sides

$\sqrt{\frac{18}{7\pi }} =r$

2) Determine the diameter

Now that we have the radius, to find the diameter, multiply r by 2:

$d=\sqrt{\frac{18}{7\pi }}*2\\d=1.8$

Therefore, the diameter is 1.8 in. when rounded to the nearest tenth.

I hope this helps!

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Simplify the following expression 3°?​

Simplify the following expression 3°?