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2 years ago

Which of the following numbers are irrational?

Mathematics

1 answer:

sweet [91]2 years ago

5 0

The number are 1/4 π and $\sqrt[3]{9}$ are irrational number.

It is required to choose the numbers are irrational.

<h3>What is real number?</h3>

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given that:

The given option are

-2.3456 =-23456/10000

since, -2.3456 can be represented as rational numbers.

π is an infinite decimal, so it cannot be expressed as a rational number.

So, 1/4 π is irrational number.

$\sqrt[3]{9}$ is an irrational number.

2 + √16=2+4= 6 is a rational number.

Therefore, the number are 1/4 π and $\sqrt[3]{9}$ are irrational number.

Learn more about real number here:

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A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro

Mrac [35]

Answer:

The equation of the displacement $d$ as a function of time $t$ is :

$d(t)=8sin(\pi t+\pi )$

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple $sin$ or $cos$ terms.

Thus,

$d(t) = Asin(wt+c)$

is the general form of displacement of a SHM.

where,

$d(t)$ is the displacement with respect to the mean position at any time $t$
$A$ is amplitude
$w$ is the natural frequency of oscillation ( $rads^{-1}$ )
$c$ is the phase angle which indicates the initial position of the object in SHM ( $rad$ )

given,

Time period ( $T$ ) = $2s$
$A=8$
The natural frequency ( $w$ ) and time period ( $T$ ) is :

$w=\frac{2\pi} {T}$

∴

$w$ = $\frac{2\pi }{2} = \pi$ $rads^{-1}$

∴

the equation :

⇒ $d(t)=8sin(\pi t+c)$ ------1

since $d=0$ when $t=o$ ,

⇒ $0=8sinc\\c=n\pi$ ------2

where n is an integer ;

⇒since the bouy immediately moves in the negative direction , $x$ must be negative or c must be an odd multiple of $\pi$ .

⇒ $d(t) = 8sin(\pi t+(2k+1)\pi )$ ------3

where k is also an integer ;

the least value of $k=0$ ;

thus ,

the equation is :

$d(t)=8sin(\pi t+\pi )$

7 0

3 years ago

HELP ME I AM TIMES 100 points and brainy just hep me please please

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

If a given triangle is a right triangle, then the Pythagorean Theorem applies. The triangle in this description has side lengths 14, 29 and 37 km. We must determine whether or not

14^2 + 29^2 = 37^2 is true:

196 + 841 = 1369 No, this is not true, and so no, these side lengths do not represent a right triangle.

4 0

3 years ago

What is the answer 20 divided by 2(5+5)

babunello [35]

$\frac{20}{2(5+5)}$ - Following the order of operations, we do parenthesis first.
$\frac{20}{2(10)}$ - Multiply out the value against the parenthesis.
$\frac{20}{20} = 1$ - This leaves us with 20 over 20. 20 goes into 20 only 1 time, so our final answer is 1.

4 0

3 years ago

Read 2 more answers

Cm 2 om 3 cm 3 cm What is the volume of this shape?

leonid [27]

The answer is 47.25 cm. If I’m correct because 3 * 3.5 * 4.5= 47.25.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=12%20%5Cfrac%7B1%7D%7B3%7D%20%5Cdiv%202" id="TexFormula1" title="12 \frac{1}{3} \div 2" alt="1

aev [14]

Answer:

37/6

Step-by-step explanation:

Simplify the following:

(12 + 1/3)/2

Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:

((3×12)/3 + 1/3)/2

3×12 = 36:

(36/3 + 1/3)/2

36/3 + 1/3 = (36 + 1)/3:

((36 + 1)/3)/2

36 + 1 = 37:

(37/3)/2

37/3×1/2 = 37/(3×2):

37/(3×2)

3×2 = 6:

Answer: 37/6

3 0

3 years ago