Drag the values into the boxes to classify each number as rational or irrational

1 answer:

6 0

A rational number is any number that can be expressed as a whole number, a fraction, or as a nonrepeating decimal. Otherwise, it is an irrational number.

√4/9: When you simplify this, it becomes 2/3. Hence, this is a rational number.
√2/24: The simplest form when you reduce is 1/√12. Hence, this is an irrational number.
√100: This is equal to 10. Therefore, this is a rational number.
5/4: Since 5/4 is a fraction, it is a rational number.
7.3: This is a fixed decimal, hence, this is rational.
0.002475: This is a fixed decimal, hence, this is rational.
0.01: This is a fixed decimal, hence, this is rational. It is actually equal to 1/10.

You might be interested in

Solve the following equation: lim x->0 sin3x/5x^3-4x.

goblinko [34]

Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x= [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
=(sin3x / 3x) . (3/5x^2- 4)
finally lim sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
x----->0 x---->0

3 0

2 years ago

A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.

dangina [55]

Answer: The volume of the cone is 130 cubic centimeters.

Step-by-step explanation:

We know that to find the volume of a cylinder you will use the formula

V= $\pi$ $r^{2} *h$ Where r is the radius and h is the height.

And to find the volume of a cone you will use the formula

V= $\pi$ $r^{2}$ *h /3

So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.

V = 390/3

V = 130 cm^3

8 0

2 years ago

Mason used 1/6 of a gram of honey to make 1/12 of a pan of pudding. How many grams are needed to make a full pan of pudding?

NARA [144]

The answer would be two grams of honey, because 1 gram of honey would make 1 half pan (because 6 is half of 12) So therefore, two grams of honey would make one pan of pudding.

7 0

2 years ago

1. 3x -2y =8 y=5 2. 4x -6y = 4 x=2y

Murrr4er [49]

Answer:

Step-by-step explanation:

are 1 and 2 answers becuas e if are 2

6 0

1 year ago

What is the product?

Luba_88 [7]

Step-by-step explanation:

= (x - 3)(2x² - 5x + 1)

= 2x³ - 5x² + x - 6x² + 15x - 3

= 2x³ + (-5 - 6)x² + (1 + 15)x - 3

= 2x³ - 11x² + 16x - 3

Option → C

5 0

2 years ago