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3 years ago

Which number is irrational? A. 25 B. 0.636363... C. 0.45 D. 6

Mathematics

1 answer:

Tresset [83]3 years ago

5 0

Answer:

Step-by-step explanation:

The "..." at the end of B tell us that it's a repeating decimal so B is irrational. Of course, you can't use this reasoning for every repeating decimal but in this case it works.

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6 0

4 years ago

Differential Equations

SashulF [63]

Answer:

$b=\pm2\sqrt{2}$

Step-by-step explanation:

For the spring mass system

my"+by'+ky=0

The system is said to be critically damped if $b^2-4mk=0$

Here b is coefficient of friction

m is the mass of system

And k is spring constant

We have given m = 2 kg , k =1

So $b^2-4\times 2\times 1=0$

$b^2=8$

$b=\pm2\sqrt{2}$

So the coefficient of friction is $\pm2\sqrt{2}$

7 0

3 years ago

Order the given rational numbers from least to greatest: 4 1/4<br> 3.3<br> 3 1/3<br> -4 1/4 <br> -3

spayn [35]

Answer:

-4 1/4 , -3 , 3.3, 3 1/3, 4 1/4

Step-by-step explanation:

make all fractions decimals

4 1/4 = 4.25

3 1/3 = 3.33333..

-4 1/4 = -4.25

4.25 , -3 , 3.3 , 3.33... , 4.25

6 0

3 years ago

Find the area of the region bounded by the $y$-axis, the line $y=6$, and the line $y = \frac{1}{2}x$.

Iteru [2.4K]

For a better understanding of the solution provided here please go through the diagram in the file that has been attached.

As can be clearly seen from the question and the graph, the area is bounded by a straight line $y=\frac{1}{2}x$ which passes through the origin, the y axis and the horizontal line $y=6$ .

As we can see from the graph, this is a right triangle. To find the point of intersection of the horizontal line y=6 and the line $y=\frac{x\1}{2}x$ , we will have to equate the two as: