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3 years ago

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

Mathematics

1 answer:

Vadim26 [7]3 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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F the width of a rectangle is x 2 and the length is twice as long, what is the area?

iren2701 [21]

I hope this helps you

4 0

3 years ago

The M&M’s website says that 24% of milk chocolate M&M’s are blue. Suppose that we buy 5 small packets of milk chocolate

SVEN [57.7K]

Answer:

The correct option is A: 24%, 24%, 24%, 24%, 24%

Step-by-step explanation:

Since the overall probability of M&M's produced is stated as 24% and the packets are filled with different colored candies at random, the probability of blue colored candies in each packet cannot be ascertained individually.

Hope that answers the question, have a great day!

7 0

3 years ago

Dorothy and Rosanne are baking cookies for a party. Working alone, Rosanne can finish the cookies in 6 hours. Dorothy can finish

garik1379 [7]

Answer:

It will take them 3.43 hours.

Step-by-step explanation:

Let T denote the total cookies that need to be cocked. Observe that:

If Rosanne finishes the cookies in 6 hours, that means that she can make $\frac{T}{6}$ cookies per hour.
If Dorothy finishes the cookies in 8 hours, that means that she can make $\frac{T}{8}$ cookies per hour.

Then, by 1) and 2), if they work together would we able to make

$\frac{T}{6}+\frac{T}{8}=\frac{8T+6T}{48}=\frac{14}{48}T=\frac{7}{24}T$

cookies per hour.

Therefore, in order to finish the T cookies they will need $\frac{24}{7}\approx3.43 hours$

3 0

3 years ago

What is the name of the shape graphed by the function r = 2 - costheta

Afina-wow [57]

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

r = 2 - cos(θ)

8 0

3 years ago

James and Jada together have $60. James has $9 more than twice Jada’s amount. How much money does each have?

sukhopar [10]

Answer:

$43 and

$17

Step-by-step explanation:

Let the amount James have be A and that of jada be B

Given

James and jada have $60 together

That’s

A + B = 60

And james A has $9 more than twice jada’s amount

That’s

A = 9 + 2B

We now have two equations

1. A + B = 60 and

2. A = 9 + 2B

Now put 9 + 2B as A in equation one

A + B = 60

9 +2B + B = 60

9 + 3B = 60

Subtract 9 from both sides

9 - 9 + 3B = 60 - 9

3B = 51

Divide both sides by 3

3B/3 = 51/3

B = 17

Jada has $17

Recall

A = 9 + 2B

And B = 17

Therefore

A = 9 + 2 x 17

A = 9 + 34

A = 43

James has $43

Therefore, James has $43 while jada has $17

7 0

4 years ago