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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.

You might be interested in

Is 226.08cm to the third power the correct response?

drek231 [11]

Surface Area of a cylinder 2(π•r²)+(2π•r)•h

So

If the diameter is 8 then the radius is 4. the height is 5.

so you have, 2(3.14•4²)+(2•3.14•4)•5

solve. PEMDAS
Parentheses & Exponents first.
2(3.14•16)+(2•3.14•4)•5
2(50.24)+(6.28•4)•5
2(50.24)+(25.12)•5
Multiplication & Division second (left to right)
100.48+125.6
Add & Subtract (left to right)
226.08cm

5 0

3 years ago

Twenty percent of what number is 9?

vampirchik [111]

Answer:

Step-by-step explanation:

There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.

3 0

3 years ago

The mathematics department sponsors Math Family Fun Night every year. In the first year, there were 35 participants. In the th

Korolek [52]

1,35 3,57

slope = (57 - 35)/(3 - 1) = 11

y = 11 x + b

35 = 11 (1) + b

b= 24

y = 11x + 24

y = 11(5) + 24 = 79

3 0

2 years ago

Use a graphing calculator to sketch the graph of the quadratic equation, and then state the domain and range. y=-5x^2+3x+10

Bond [772]

Answer:

The answer to your question is:

Domain: (-∞, ∞)

Range: [10, ∞)

Step-by-step explanation:

Data

Graph y = 5x² + 3x + 10

Process

As it is suggested, let's use a graphing calculator. But we can sketch that because it is a quadratic equation, then the graph will be a parabola that opens upwards.

See the graph below.

Domain: are the possible values of the independent variable.

Range: are the reslunting values of the dependent variable.

Then

Domain : (- ∞, ∞) It is an open interval because -∞ and ∞ are

not included.

Range : [10, ∞) It is close because 10 is included.

3 0

2 years ago

Estimate : 1) 48% of 8 2) 3% of 119 3) 26% of 32 4) 76% of 280

zaharov [31]

1) 48% of 8=3.84
2) 3% of 119=3.57
3) 26% of 32=8.32
4) <span>76% of 280=212.8

Hope this helps ya!</span>

7 0

2 years ago