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lapo4ka [179]
2 years ago
14

Which expression represents a rational number?

Mathematics
2 answers:
Sever21 [200]2 years ago
7 0

Answer:

\frac{2}{7}+\sqrt{121}

Step-by-step explanation:

Given: expressions

To find: expression that denotes a rational number

Solution:

A number of the form \frac{p}{q} where p and q are integers and q\neq 0 is said to be a rational number.

Sum of a rational and irrational number is irrational.

In \frac{5}{9}+\sqrt{18}, \frac{5}{9} is a rational number and \sqrt{18} is an irrational number

So, \frac{5}{9}+\sqrt{18} is not a rational number.

In \pi+\sqrt{16}=\pi+4, \pi is an irrational number and 4 is a rational number

So, \pi+\sqrt{16}  is not a rational number.

In \frac{2}{7}+\sqrt{121}=\frac{2}{7}+11=\frac{2+77}{7}=\frac{79}{7}, \frac{79}{7} is a rational number

So, \frac{2}{7}+\sqrt{121}  is a rational number

In \frac{3}{10}+\sqrt{11}, \frac{3}{10} is a rational number and \sqrt{11} is an irrational number

So, \frac{3}{10}+\sqrt{11} is not a rational number.

olasank [31]2 years ago
4 0

Answer:

2 / 7 + 12

Step-by-step explanation:

he is right i  just took the test i just wanna help more ..

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Let S = Sum after 13 years

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     t = time in years

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The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21

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2 years ago
HELP ME PLZ I have only ten minutes <br><br><br> If ST=15 and RT=40, then RS=
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Step-by-step explanation:

RS = RT-ST

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Answer:

Question 7 = $2

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2 years ago
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What is the length of BD?
I am Lyosha [343]

Answer:

10\sqrt{3}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

<em>Sine Ratio </em>

\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 60^\circ=\frac{BD}{20}

Solving for BD:

\displaystyle BD=20\sin 60^\circ

Since

\sin 60^\circ=\frac{\sqrt{3}}{2}

\displaystyle BD=20\frac{\sqrt{3}}{2}

Simplifying:

\boxed{\displaystyle BD=10\sqrt{3}}

4 0
2 years ago
3 connecting lines are shown. Line D F is horizontal. Line D E is about half the length of line D F. Line F E is about one-third
mars1129 [50]

The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

<h3>Inequalities </h3>

From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle

From the given information,

Line DE is about half the length of line DF

That is,

ED = 1/2 DF

Also,

Line FE is about one-third of the length of line DF

That is,

EF = 1/3 DF

Then, we can write that

ED + EF = 1/2DF + 1/3DF

ED + EF = 5/6 DF

Since,

5/6 DF < DF

Then,

ED + EF < DF

Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF

Learn more on Inequalities here: brainly.com/question/1447311

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5 0
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