Ask question

Ask question

All categories

4 years ago

6

Which numbers are rational numbers and irrational numbers and why

1 answer:

slamgirl [31]4 years ago

6 0

Answer:

-3.786 ..8.23.. 0.75....10.86731234 are all irrational numbers

You might be interested in

A mechanical system is governed by the following differential equation what is the homogeneous solution

Anika [276]

The ODE has characteristic equation

$r^2+6r+9=(r+3)^2=0$

with roots $r=-3$ , and hence the characteristic solution

$y_c=C_1e^{-3t}+C_2te^{-3t}$

For the particular solution, assume an ansatz of $y_p=ae^{-t}$ , with derivatives

$\dfrac{\mathrm dy_p}{\mathrm dt}=-ae^{-t}$

$\dfrac{\mathrm d^2y_p}{\mathrm dt^2}=ae^{-t}$

Substituting these into the ODE gives

$ae^{-t}-6ae^{-t}+9ae^{-t}=4ae^{-t}=4e^{-t}\implies a=1$

so that the particular solution is

$\boxed{y(t)=C_1e^{-3t}+C_2te^{-3t}+e^{-t}}$

7 0

3 years ago

What is the best way to display a set of data with a wide range, where we want to be able to find the measures of central tenden

UNO [17]

The Answer Is Histogram

5 0

3 years ago

Triangle abc is isosceles. what is the length of the line segment connecting the midpoints of the two sides of equal length?

Tpy6a [65]

The required relength is half of the length of AC
AC = sqrt(8 - (-2))^2 = 8 + 2 = 10

Therefore, the required length is 5.

5 0

3 years ago

Read 2 more answers

a rectangular wall with a length of 10x and width of 20 x has a rectangular doorway with a length of 5x and a width of 2x. What

Shtirlitz [24]

Answer:

∴ The the surface area of the wall is $190x^{2} \ square\ unit$ .

Step-by-step explanation:

Given that,

The length of rectangular wall is $10x$ .

The width of rectangular wall is $20x.$

The length of doorway is $5x.$

The width of doorway is $2x.$

and, we have to find the surface area of rectangular wall.

Now,

The length of rectangular wall is $10x$ .

The width of rectangular wall is $20x.$

∴ Total surface area of a rectangular wall $= Length\ of\ wall\times Width\ of\ wall$

$= 10x\times 20x$

$=$ $200x^{2} \ square\ unit$

Total surface area of a rectangular wall is $200x^{2} \ square\ unit$ .

Again, The length of doorway is $5x.$

The width of doorway is $2x.$

∴Total surface area of doorway $=Lenght\ of\ doorway\times Width\ of\ doorway$

$=5x\times 2x$

$=10x^{2} \ square\ unit$

Total surface area of doorway is $10x^{2} \ square\ unit$ .

∴The remaining surface area of a rectangular wall is $=$ $200x^{2} -10x^{2}$

$=190x^{2} \ square\ unit$

∴ The the surface area of the wall is $190x^{2} \ square\ unit$ .

6 0

4 years ago

The ratio of boys to girls in a class is 3:1. There are 36 students in the class. How many students are boys?

Georgia [21]

Answer:

27

Step-by-step explanation:

Let's call boys and girls 3x and x respectively. Since 3x + x = 36, x = 9. Boys = 3x = 3 * 9 = 27.

4 0

3 years ago

Read 2 more answers