All categories

3 years ago

Is 0.12112111211112 a rational number ?

Mathematics

2 answers:

Elden [556K]3 years ago

8 0

Answer: The given number is NOT rational.

Step-by-step explanation: We are given to check whether the number 0.12112111211112 . . . a rational number or not.

We know that

if the digits after the decimal in a number are either repeating or terminating, then the number is rational.

The given number is

$x=0.12112111211112 . . .$

We can see that the digits after the decimal are neither repeating nor terminating.

Therefore, the given number is NOT rational.

tangare [24]3 years ago

5 0

No, it is not rational because it is not repeating and it is never ending...so it cant be made into a fraction

You might be interested in

Find the equation of the line passing through points (-1,-6) and (3,5)

Phoenix [80]

Answer:

y=11/4x-13/4

Step-by-step explanation:

Use the slope formula and slope-intercept form y=mx+b to find the equation.

7 0

2 years ago

A dealer has a lot that can hold 30 vehicles. In this lot, there are two available models, A and B. The dealer normally sells at

Vanyuwa [196]

The answer is a 20 model A, 10 model B

8 0

3 years ago

Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

3 years ago

Choose the best definition for the following phrase: combining like terms (1 point)

Maksim231197 [3]

combining like terms in a polynomial is adding or subtracting together terms that have the same degree in the exponents.

example. 3x^3 + 5x^6 + 2x^3 +7x + 9x^6

= 7x + 5x^3 + 14x^6

4 0

3 years ago

LCM of 294 and 1260<br><br>

Alex Ar [27]

Answer:

8820

Step-by-step explanation:

Prime factorization of 294,

→ 2 × 3 × 7 × 7

Prime factorization of 1260,

→ 2 × 2 × 3 × 3 × 5 × 7

LCM of 294 and 1260,

→ 2 × 2 × 3 × 3 × 5 × 7 × 7

→ 8820

Hence, the LCM is 8820.

4 0

1 year ago