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sammy [17]
3 years ago
11

are the rational numbers a subset of all real numbers? are the rational numbers a subset of the irrational numbers? explain

Mathematics
1 answer:
Nastasia [14]3 years ago
8 0

Answer:

see below

Step-by-step explanation:

<u>are the rational numbers a subset of all real numbers?</u>

yes of course

by definition the real numbers is the union of the rational numbers and the irrational numbers

so we can say that the rational numbers are a subset

and every rational number is part of the real number

<u>are the rational numbers a subset of the irrational numbers?</u>

No

the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction

so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen

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4 years ago
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3 years ago
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                          Vote me brainliest :) please!

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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
mr_godi [17]

A circle is a <em>shape</em> formed by a <u>curved </u>side. Therefore, the required <em>answers</em> are:

1. An<em> example </em>of an <u>inscribed </u>angle is: <SQT or <QST or <QTS

2. An <u>example</u> of a <em>minor</em> arc is: arc QT or RS or QR

3. An <em>example</em> of a <u>semicircle</u> is: QRS or QTS

4. <QPR =  \frac{264600}{44r} degrees

An angle is said to be formed whenever <u>two</u> or <u>more</u> <em>straight</em> lines <u>intersect</u> or <u>mee</u>t. But an inscribed angle is an angle formed <u>within</u> a given circle.

A <em>circle</em> is a shape formed by a <u>curved</u> side. Some of its <u>parts</u> are semicircle, radius, diameter, chord, sector, segment, etc.

Thus the following can be <em>deduced</em> from the given question:

1. An example of an<em> inscribed</em> angle is: <SQT or <QST or <QTS

2. An example of a <u>minor</u> arc is: arc QT or RS or QR

3. An example of a <u>semicircle</u> is: QRS or QTS

4. <QPR.

length of an arc = \frac{x}{360} 2\pir

where r is the radius of the circle

105 =   \frac{x}{360} x 2 x \frac{22}{7} x r

      = \frac{44xr}{2520}

44 xr = 105 x 2520

44xr = 264600

x = \frac{264600}{44r}

Therefore the <em>measure</em> of angle QPR in terms of r is  \frac{264600}{44r} degrees.

5. The length of arc QTR can be determined by;

Arc QTR =  \frac{x}{360} 2\pir

                 

For more clarifications on parts of a circle and the length of an arc, visit: brainly.com/question/27128255

#SPJ1

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