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Novay_Z [31]
3 years ago
8

Is the number 49 irrational?

Mathematics
1 answer:
FrozenT [24]3 years ago
8 0

Answer:

No, the number 49 is rational.

Step-by-step explanation:

If a number has a perfect square root, then the number is rational. The square root of 49 is 7, so 49 is a perfect square, therefore making it rational.

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Arrange the numbers in decreasing order of their values.
FinnZ [79.3K]

Answer:

The numbers in decreasing order of their values are:

\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012

Step-by-step explanation:

Before actually comparing, we need to write all of those numbers in decimal form, that will be the only way to actually tell which one is bigger since you are already given numbers in decimal form.

Converting numbers in decimal form.

The first number we are given is \sqrt{37}, we know it is a bit higher than 6, since the square root of 36 is 6, so using a calculator we get

\sqrt{37}=6.0828

The second number is a fraction, in decimal form will be:

\cfrac{19}{3}= 6.3333

Writing the decreasing order.

Now that all numbers are in decimal form we can compare them and write them in decreasing order.

6.3333... > 6.0828...>6.08171...>6.012

Lastly we can write the decreasing order using the numbers on their original form.

\cfrac{19}{3}>\sqrt{37}>6.08171...>6.012

8 0
4 years ago
If Joe makes 16 out of 40 free throws in a
abruzzese [7]
The answer would be 6.4% because you have to do 16% of 40 and it will give you 6.4 and as a percent it is 640%
8 0
4 years ago
The length of a rectangle is 2 foot less than 3 times its width. Find the the dimensions of this rectangle if the area is 96 squ
Xelga [282]
For example,area = a, length = l, width = w
First we write two equations. The easier equation is the area equation, which we know to be
a = l x w
So that the first equation is : 
<span>96 = l x w </span>

we make the second equation of the following statements :
<em>The length of a rectangle is 2 foot less than 3 times its width.</em>
<span>so it becomes :
l = 3w - 2
</span>
<span>To solve, we can use the substitution method. 
</span>
96 = l \times w\\96=(3w-2) \times w\\96=3w^{2}-2w\\3w^{2}-2w-96=0~~~~~~[now\ factor\ the\ equation]\\ (3w+16)(w-6)=0

3w+16=0\\3w=-16\\w= -\frac{16}{3}~~~~\Rightarrow~~~answer\ doesnt\ make\ sense\ , negative\ width.&#10;

w-6=0\\\boxed{w=6~~~~~~~\Rightarrow~~~~positive\ answer\ for\ width\ makes\ sense }&#10;

<span><em>So if our width is 6, Now substitute the value of w = 6 into equation 2 </em></span>

l=3w-2\\l=3(6)-2\\l=18-2\\l=16

So "w" = 6 and "l" = 16, and if we multiply them together, we get the correct area, 96. So our dimensions are 6 by 16.
6 0
3 years ago
Please help me find the distance between the two polar coordinates <br> thank you!
Ratling [72]

Answer:

⅜ is the distance

Hope you found this answer very useful

7 0
2 years ago
Which number is composite<br> 5,2,9,11
horrorfan [7]

Answer:

9 number is composite is answer

Step-by-step explanation:

1,3,9 can be exactly divided by

I hope this is helpful!

7 0
3 years ago
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