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3 years ago

WHAT ARE RATIONAL NUMBERS ? WHAT ARE IRRATIONAL NUMBERS ?

2 answers:

5 0

Rational numbers are numbers that can be written as a fraction. Rational numbers include the integer set. These numbers can be written as repeating and terminating decimals also.

Irrational numbers are the numbers that can not be turned in to a fraction. These are decimals that are non-terminating and non-repeating.

leva [86]3 years ago

4 0

A rational number is any number that can be represented as a fraction. (7=7/1 or 52 = 26/1 ).
An irrational number is a number like 3.14159 (pi) or anything like that.

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Answer:

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2 years ago

What is the simplified form of the following expression?

USPshnik [31]

Option C:

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

Solution:

Given expression is

$$\sqrt[3]{\frac{4 x}{5}}$

Note: $\sqrt[3]{125}=\sqrt[3]{{5^3}} = 5$

To find the correct expression for the above simplified expression.

Option A: $\frac{\sqrt[3]{4 x}}{5}$

5 can be written as $\sqrt[3]{125}$ .

$$\frac{\sqrt[3]{4 x}}{5}=\frac{\sqrt[3]{4 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{4x}{125} }$

It is not the given simplified expression.

Option B: $\frac{\sqrt[3]{20 x}}{5}$

$$\frac{\sqrt[3]{20 x}}{5}=\frac{\sqrt[3]{20 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{20x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4x}{25} }$

It is not the given simplified expression.

Option C: $\frac{\sqrt[3]{100 x}}{5}$

$$\frac{\sqrt[3]{100 x}}{5}=\frac{\sqrt[3]{100 x}}{\sqrt[3]{125} }$

$$=\sqrt[3]{\frac{100x}{125} }$

Cancel the common factor in both numerator and denominator.

$$=\sqrt[3]{\frac{4 x}{5}}$

It is the given simplified expression.

Option D: $\frac{\sqrt[3]{100 x}}{125}$

$$\frac{\sqrt[3]{100 x}}{125}=\frac{\sqrt[3]{100 x}}{5^3}$

It is not the given simplified expression.

Hence Option C is the correct answer.

$$\frac{\sqrt[3]{100 x}}{5}=\sqrt[3]{\frac{4 x}{5}}$

3 0

2 years ago

The question is in the picture

trasher [3.6K]

Answer:

should also = 35* if I'm not mistaken

Step-by-step explanation:

if this is wrong I'm very sorry. if no one else helps u with in the next 10 mins I suggest using socratic, it helps me

8 0

2 years ago

Choices; a) 21.8° b) 35.2° c) 45.1°

kifflom [539]

Answer:

$\displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ}$

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

$\displaystyle \: \tan( \theta) = \frac{opp}{adj}$

where our opp is 5 and adj is 12.5

let $\theta$ be x°

$\displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5}$

$\displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)$

by using calculator

$\displaystyle \: {x}^{ \circ} = 21.8$

hence,

our answer is a

6 0

2 years ago