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lapo4ka [179]
3 years ago
14

Which expression represents a rational number?

Mathematics
2 answers:
Sever21 [200]3 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]3 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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Lines J and k intersect at point Q and h is a straight line. What is the value of X ?
-BARSIC- [3]

Answer:

Step-by-step explanation:

Angles on a straight line add up to 180 so 180-135 equals 45. Vertically opposite angles are equal so the second angle inside the triangle equals 100. Henceforth, we can solve this equation:

x +45+100 = 180 (angles in triangle add up to 180)

x+145=180

x=35

Vertically opposite angles are equal so x will become 35.

Hope this helps!

7 0
3 years ago
What are the first 2 steps in solving a radical equation
padilas [110]

1-) isolate the radical symbol on one side of the equation

2-) square both sides of the equation to eliminate the radical symbol
5 0
4 years ago
Harriet cuts 4 feet from a 9 foot length of rope. Then she cuts 14 inches from the rope. How many inches of rope are left?
balu736 [363]

Answer:

3.8ft

Step-by-step explanation:

Given data

The total length of the rope= 9ft

We are told that 4ft was cut

=9-4

=5ft

Also, 14 inches from the rope was cut

=14 in to ft

=1.16667ft

=5-1.16667

=3.8ft

Hence the remainder is 3.8ft

6 0
3 years ago
A circle with circumference 6 has an arc with 20, degrees central angle.what is the length of the arc
Brilliant_brown [7]

Answer:

The length of the arc is 0.333

Step-by-step explanation:

The length of the circumference is 6

A circle has 360° in total

So to know what fraction the 20° represent we have to divide it by 360°

20° / 360° = 1/18

This fraction if we multiply it by the circumference we will obtain the length of the arc

1/18 * 6 = 0.333

The length of the arc is 0.333

4 0
4 years ago
Ill give all my points to someone who can solve this probability problem correctly and clearly to understand.
Mashutka [201]

Answer:

+5.20 µC

Explanation:

Given that

Charge =−5.20 µC and radius= 5.40 cm.

Insert a +10.4- µC charge at the center of the sphere

As we know that according to  Gauss's theorem electric field inside the metal is zero.

When +10.4 µC charge insert but the total charge on the sphere should be  −5.20 µC.So the charge on the outer surface of the sphere will be +5.20 µC.

3 0
3 years ago
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