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kumpel [21]
3 years ago
14

What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

Mathematics
1 answer:
kifflom [539]3 years ago
6 0
Good night, 

<span>Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: </span>\frac{1289}{100}

\frac{12}{144}= \frac{1}{12}

<span>The above numbers can be expressed as a fraction, then the logical answer is: </span>\sqrt{12}

But we will check the answer: 

\sqrt{12}= \sqrt{2^{2}*3 }  =2* \sqrt{3} =3.4641016...

As you can see we can't express that number as a fraction, so that is te correct answer.

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What is the distance between (-5, 5) and (1, -2)
Murrr4er [49]

Answer:

\displaystyle d=\sqrt{85}\text{, or about 9.22 units}

Step-by-step explanation:

          We will use the distance formula to solve.

\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}

\displaystyle d=\sqrt{(1--5)^2 +(-2-5)^2}

\displaystyle d=\sqrt{(6)^2 +(-7)^2}

\displaystyle d=\sqrt{36+49}

\displaystyle d=\sqrt{85}\text{, or about 9.22 units}

<em>Read more about using the </em><em>distance formula</em><em> here: brainly.com/question/15691280</em>

6 0
1 year ago
A rectangle has a length of (3.2a + 0.18b)centimeters.The width is half the length. Sasha writes the expression (12.8a + 0.72b)
jeka94
The width is half the length, so is
  width = (1/2)*length
  width = (1/2)*(<span>3.2a + 0.18b) cm
  width = (1.6a +0.09b) cm

The perimeter of the rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
  perimeter = 2*((3.2a +0.18b) cm + (1.6a +0.09b) cm)
  perimeter = 2*(4.8a +0.27b) cm)
  perimeter = (9.6a +0.54b) cm

Sasha did not get this answer, so apparently ...
  her reasoning was not correct.</span>
8 0
3 years ago
The price s of a pair of shoes plus 5% sales tax
zzz [600]

An expression for that would be s + 0.05s, or 1.05s.

3 0
3 years ago
Solve the system of equations by graphing where f(x)=5-2x and g(x)=(2/3)x-2. What is the value of x? 0 1 2 3 4
vfiekz [6]

Answer:

The graph is uploaded in the attachment.

The value of x is 2.625.

Step-by-step explanation:

  • let us plot f(x), g(x) on y-axis

so, f(x)=y and g(x)=y.

  • the first equation can be written as y=5-2x
  • the general equation of a straight is y=mx+c

( where m is the slope and c is the y-intercept )

  • now comparing given equation with the general equation mentioned above, the slope of first line is -2 and its y-intercept is 5
  • the slope of second equation i.e, y=(2/3)x-2 is 2/3 and its y-intercept is -2.
  • now plot the graph using above information.

(y-intercept is the the coordinate of a point where the line intersects y-axis)

(slope is the angle made by the line with the x-axis)

  • by seeing the graph, the value of x is 2.625.

3 0
2 years ago
A building casts a 21 foot shadow along the ground. A person 5 feet 3 inches casts a shadow 7 feet long.
Sonja [21]

Answer:

~28

Step-by-step explanation:

5 feet 3 inches is 5.25 feet.

We divide 7/5.25 which equals 1.3333333333333 (repeating)

That means we multiply 21 by 1.333333333333 which would round up to 28 feet. (the exact answer is 27.99999999999999999)

6 0
2 years ago
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