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3 years ago

Try It for Example 3: Is 3.14144144414444... a rational number? Explain your reasoning. *

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

5 0

it's irrational

A rational number can be put over a fraction, while this number continues forever

attashe74 [19]3 years ago

4 0

I will try to make this as simple as possible.

First off, we need to know what a rational number is: A rational number is any number that can be made by dividing 2 integers. For example:

1.5 would be a rational number because 1.5 = 3/2 (3 and 2 are both integers)

With that being said, let's begin.

First off, let's start with -0.3, let's ask ourselves, can we make this number by dividing 2 integers, the answer is yes, we can, by doing we have the equivalent of -0.3, so now we know it's a rational number.

As for the second one, it can't be a rational number because it can't be made by dividing to integers, so the answer is:

-0.3 is a rational number, but 3.14144144414444 is not.

Hope this helped! c:

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Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each s

Margaret [11]

Answer:

$QR = 6.0033$

$QS = 8.22$

$RS = 6.0033$

QRS is isosceles

Step-by-step explanation:

Given

See attachment for complete question

From the attachment, we have the following parameters $QR = \sqrt{(-3-0)^2+(-5.2-0)^2}$

$QR = \sqrt{9+27.04}$

$QS = \sqrt{(-3-5)^2+(-5.2-(-3.322))^2}$

$QS = \sqrt{64+3.53} = \sqrt{67.53$

$RS = \sqrt{(0-5)^2 + (0 - (-3.322))^2}$

$RS = \sqrt{(25 + 11.04}$

Solving further, we have:

$QR = \sqrt{9+27.04}$

$QR = \sqrt{36.04}$

$QR = 6.0033$

$QS = \sqrt{64+3.53} = \sqrt{67.53}$

$QS = 8.22$

$RS = \sqrt{25 + 11.04}$

$RS = \sqrt{36.04}$

$RS = 6.0033$

From the calculations;

$RS = QR = 6.0033$

<em>This means that: QRS is isosceles</em>

8 0

3 years ago

For the function defined by:

Eva8 [605]

The first function is represented by the green line, while the second is represented by the orange line

<h3>What are piecewise functions?</h3>

Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals

The function is defined by

$f(x) = \left \{ {{x^2,\ x\le1} \atop {2x + 1,\ x > 1}} \right.$

<h3>(a) Graph the first function</h3>

The first function in f(x) is defined by

$f(x) = x^2, \ x \le 1$

See attachment for the graph of the first function

<h3>(b) Graph the second function</h3>

The second function in f(x) is defined by

$f(x) = 2x + 1, \ x > 1$

See attachment for the graph of the second function

Read more about piecewise functions at:

brainly.com/question/18859540

7 0

2 years ago

Marat540 [252]

Answer:

21,595

:D :D :D :D

8 0

3 years ago

A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?

marta [7]

Answer:

The area of the circle is $9\pi \ units^{2}$

Step-by-step explanation:

we know that

A circle has a sector with area $3\pi/2$ and central angle of 60 degrees

The area of a complete circle subtends a central angle of $360\°$

using proportion

Find the area of the circle

$\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}$

4 0

3 years ago

Read 2 more answers

at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers an

torisob [31]

Answer:

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

Step-by-step explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the price of a burger.

y is the price of a gatorade.

6 burgers and 4 gatorades for $14.10

This means that $6x + 4y = 14.10$

3 burgers and 4 gatorades for $9.15.

This means that $3x + 4y = 9.15$

Will write 4y as a function of x.

$4y = 9.15 - 3x$

Replacing in the first equation:

$6x + 4y = 14.10$

$6x + 9.15 - 3x = 14.10$

$3x = 4.95$

$x = \frac{4.95}{3}$

$x = 1.65$

And

$4y = 9.15 - 3x$

$4y = 9.15 - 3*1.65$

$4y = 4.2$

$y = \frac{4.2}{4}$

$y = 1.05$

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

6 0

3 years ago