Is 1/8 rational or irrational?

Mathematics

2 answers:

Naily [24]2 years ago

6 0

Answer: Rational

Step-by-step explanation: To determine whether 1/8 is rational or irrational, remember that all fractions positive or negative are rational numbers.

Therefore, 1/8 must be a rational number

dlinn [17]2 years ago

3 0

A number is rational if it can be written as the ratio of two integers.
The ratio of two integers is a fraction, and you just did it. Your number
is the ratio of 1 to 8 . It's about as rational as you can get.

Here's a fun fact that's easy to remember:
ANY number that you can write down on paper, completely, with digits
and a decimal point or a fraction bar if you need them, is rational.

You might be interested in

What is the measure of arc CD?

CaHeK987 [17]

Option C:

The measure of arc CD is 40°.

Solution:

Given data:

m∠X = 11° and m(arc AB) = 18°

To find the measure of arc CD:

We know that,

Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.

$$m \angle X =\frac{1}{2}({arc \ CD}-{arc} \ AB)$

$$ 11^\circ =\frac{1}{2}({arc} \ CD-{18^\circ})$

Multiply by 2 on both sides.

22° = arc CD - 18°

Add 18° from both sides.

40° = arc CD

Switch the sides.

arc CD = 40°

Hence the measure of arc CD is 40°.

Option B is the correct answer.

7 0

2 years ago

Help center of circle

Lelu [443]

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

${x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3$