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2 years ago

Is 3pi/2pi a rational number or an irrational number? Explain your reasoning

Mathematics

1 answer:

Vadim26 [7]2 years ago

7 0

Answer:

It is rational

Step-by-step explanation:

The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1

Therefore,

(3pi)/(2pi) = (3/2)*(pi/pi)

(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above

(3pi)/(2pi) = 3/2

we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.

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Help ASAP please!!!

olga55 [171]

Answer:

Step-by-step explanation:

Let's first understand what percentage of the population actually exists after the decrease.

<h3>100% - 35% = 65% of the population.</h3>

We'll now convert 65% into a decimal. We can convert percentages into decimals by dividing the percentage by 100.

<h3>0.65 / 100 of the population.</h3>

We'll now make an equation.

<h2>0.65x = 29,900</h2><h2>x = 46,000.</h2><h3>Keep in mind that x, in the equation, is to represent the previous population. When you multiply it by 0.65, you're representing 65% of x which is also equal to 29,900. When you multiply the equation by (100/65) on each side, you find out the previous population is 46,000.</h3><h2>If you have issues or difficulties, feel free to contact me.</h2>

4 0

2 years ago

Find the volume of the cylinder in terms of pi.

Allushta [10]

Answer:

$\large\boxed{V=81\pi\ in^3}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have r = 3in and H = 9in. Substitue:

$V=\pi(3^2)(9)=\pi(9)(9)=81\pi\ in^3$

5 0

3 years ago

In the equation z/6 =

Nikitich [7]

Hi there!

»»————-　★　————-««

I believe your answer is:

"Isolate the variable using inverse operations."

»»————-　★　————-««

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

$\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow \boxed{z = 216}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

5 0

2 years ago

Read 2 more answers

please help please help please help Suppose Karen $1000 that she invests in an account that pays 3% interest compounded annually

mojhsa [17]

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2 years ago

HELPP PLEASEEEEEEE

Alexxx [7]

A, c, and d
plug in each x in the equation and it should equal the y value

7 0

2 years ago