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3 years ago

What number produces a rational number when added to 1/3

Mathematics

2 answers:

Bingel [31]3 years ago

7 0

Answer:

1/2, 4/3, 1/2, ... any rational number

Step-by-step explanation:

The field of rational numbers is closed under the sum operation. Therefore, if a and b are rational numbers, the number (a + b) is also a rational number.

Consider the rational number a = 1/3, if we add it to any other rational number, the result of that sum will also be a rational number.

Examples:

1/3 + 1/2 = 5/6

1/3 + 4/3 = 5/6

1/3 + 1/6 = 1/2

Verizon [17]3 years ago

6 0

Answer:

Any rational number

Step-by-step explanation:

A rational number is a number obtained by dividing two integers.

Thus, 1/3 is a rational number.

You can add any rational number to 1/3 and the sum will be a rational number.

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The length of a rectangle solid is 3.0 m the width is 0.6 meter, and the height is 0.4 meter. Find, to the nearest tenth, the nu

Ad libitum [116K]

Answer:

$0.72\,\,m^3$

Step-by-step explanation:

Given:

Length of a rectangle solid = 3 m

Width of a rectangle solid = 0.6 m

Height of a rectangle solid = 0.4 m

To find: Volume of the solid

Solution:

Volume of the solid = length × breadth × height

$=3\times 0.6\times 0.4=0.72\,\,m^3$

So, the number of cubic meters in the volume of the solid is $0.72\,\,m^3$

3 0

3 years ago

Monday What time is 5 3/4 hours after 11:32 pm?

Marina86 [1]

bearing in mind that the an hour has 15 + 15 + 15 + 15 = 60 minutes, so 15 minutes in 1/4 of an hour, thus 45 minutes is 3/4 of an hour.

now, from 11PM, if we add the 5 hours first, we'll be at 4AM, pass midnight of course.

now let's add the minutes, 32 and then 45, that gives us 77 minutes.

so the time will be 4AM plus 77 minutes, since 60 minutes is 1 hr, so 4AM plus 1 hr and 17 minutes, that'd be 5:17AM.

6 0

2 years ago

5 cm 4 cm 6 cm 3D rectangle

Sergio [31]

Answer:

120

Step-by-step explanation:

I'm assuming your looking for the area (if not pls tell me and I will make corrections)

So to get the area of a 3D shape you multiply the length, width, and height

5×4×6=120

8 0

2 years ago

What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)

dybincka [34]

Answer:

amplitude; $\frac{2}{3}$

Phase shift; $\pi$ units right

Period; $\frac{2\pi}{3}$

Step-by-step explanation:

The given function is

$y=-\frac{2}{3}\cos(3t-3\pi)$

This function is of the form;

$y=A\sin (Bt+C)$

The period is given by:

$|A|=|-\frac{2}{3}|= \frac{2}{3}$

The period is given by:

$T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}$

The phase shift is given by;

$\frac{C}{B}=\frac{-\3pi}{3}=- \pi$ or $\pi$ units right.

4 0

2 years ago

What is the approximate area of the shaded sector in the circle shown below

jeyben [28]

Answer: B

Step-by-step explanation:

The area of a circle is pi*radius^2. But only a diameter is given, so in order to find the radius, you must divide the diameter by 2:

3.6/2 = 1.8

Now, you can plug the radius, 1.8, into the equation pi*radius^2 ( $\pi r^{2}$ ):

$\pi (1.8)^2 = \pi(3.24)$ = about 10.18

Lastly, you must divide the area 10.18 by 2 because you are looking for only half the area.

10.18/2 = 5.09

6 0

2 years ago