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3 years ago

Is 2.55 a irrational, rational, integer, whole number or natural number?

Mathematics

1 answer:

satela [25.4K]3 years ago

4 0

So, the first thing we need to know is what is what.

So, A natural number is a whole number

A whole number is an integer

and An integer is a rational number.

Now, since there is a terminating decimal (a decimal that does not go on forever) we know it is a rational number.

Since there is a decimal, it cannot be an integer, therefore

It is a rational number

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Answer:

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Step-by-step explanation:

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3 years ago

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Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the

Contact [7]

Solve it by substitution. First let's rewrite the first equation (3x+4y=16) so we have y = something, then we'll substitue that in to the other equation.
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4 0

3 years ago

Read 2 more answers

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

2 years ago

Describe the different type of polygons

gladu [14]

Convex Polygons

All of its angles are less than 180°.

All of the diagonals are internal.

Concave Polygons

At least one angle measures more than 180°.
At least one of the diagonals is outside the shape of the polygon.

Equilateral Polygons

All sides are equal.

Equiangular Polygons

All angles are equal.

Regular Polygons

They have equal angles and sides

Irregular Polygons

They do not have equal angles and sides.

Types of Polygons based on Number of Sides

Triangle

3 sides.

Quadrilateral

4 sides.

Pentagon

5 sides.

Hexagon

6 sides.

Heptagon

7 sides.

Octagon

8 sides.

Enneagon or Nonagon

9 sides.

Decagon

10 sides.

Hendecagon

11 sides.

Dodecagon

12 sides.

Tridecagon or triskaidecagon

13 sides.

Tetradecagon or tetrakaidecago

14 sides.

Pendedecagon

15 sides.

Hexdecagon

16 sides.

Heptdecagon

17 sides.

Octdecagon

18 sides.

Enneadecagon

19 sides.

Icosagon

20 sides.

3 0

3 years ago