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Daniel [21]
3 years ago
13

I NEED HELP PLEASE !!!!

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

See below

Step-by-step explanation:

So we have the following six values:

77.65488139\\\sqrt{0.156}\\368. 5468432...\\253,897,615.\bar3\\14.19274128...\\\\\sqrt{\frac{4}{9} }

And we want to determine which are irrational.

Recall what irrational numbers, are they are numbers that do not<em> </em>repeat nor terminate. In other words, they never end, and their digits never repeat.

So, let's go through each one.

77.65488139 is rational. Yes, it has a lot of decimal places but notice there are no ellipses after it. Thus, it terminates and is rational.

√(0.156) is about (use a calculator) 0.39496835... It is not repeating nor does it end. Thus, √(0.156) is irrational.

368.5468432... has the ellipses. Thus, it doesn't repeat and doesn't terminate. It's irrational.

253,897,615.3 has a bar over the 3 at the end. This means that this repeats. Therefore, while it doesn't terminate, it is rational.

14.19274128... has an ellipses. It doesn't repeat nor terminate. It's irrational.

Lastly, the square root can be simplified to 2/3. This is approximately .6666... While this doesn't terminate, it repeats, so it's rational.

Edit: Grammar

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Is a trinomial always a higher degree than a monomial explain why or why not
KatRina [158]

Answer:  NO

<u>Step-by-step explanation:</u>

Let's define some of the vocabulary words so we can understand what is being asked.

trinomial: 3 terms   → each term is separated by a plus or minus sign

                               Example: 5x² + 3x + 2

monomial: 1 term   →  no plus or minus sign exists in the term.

                               Example: 5x²

degree: the largest exponent → it can be in any of the terms.

                               Example: 5x² has a degree of 2

It is possible that a monomial has an exponent greater than that of a trinomial so the answer is NO!

trinomial:   5x² + 3x + 2      has a degree of 2

monomial: 5x⁴                    has a degree of 4

5 0
3 years ago
The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}&#10;
x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
D_{AB}= \sqrt{(2+1)^2+{(3-4)^2}
D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
3 years ago
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kumpel [21]
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3 years ago
Which of the following expressions is equivalent to the expression 2(7x+3)
Ira Lisetskai [31]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Explain how the number line can
DochEvi [55]

9514 1404 393

Answer:

  points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

  -1.75, 2.50, -3.25, -3.50, 4.75

5 0
3 years ago
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