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timama [110]
4 years ago
11

List all rational numbersLet A={0,0.2222,√3,2,-2/3,-7,√7}

Mathematics
1 answer:
dezoksy [38]4 years ago
7 0
<h2>[0,0.2222,2,-2/3,-7]</h2>

Step-by-step explanation:

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

0 can be written as \frac{0}{1},so it is a rational number.

0.2222 can be written as \frac{2222}{10000},so it is a rational number.

\sqrt{3} cannot be written as a fraction,so it is not a rational number.

2 can be written as \frac{2}{1},so it is a rational number.

\frac{-2}{3} can be written as \frac{-2}{3},so it is a rational number.

-7 can be written as \frac{-7}{1},so it is a rational number.

\sqrt{7} cannot be written as a fraction,so it is not a rational number.

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What is the minimum angle of rotation (in degrees) that will carry the star onto itself?
sp2606 [1]

Answer:

Minimum angle = 108°

Step-by-step explanation:

From the figure attached,

Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.

Let the angle between A and B measure a°.

If we complete a star pentagon by joining the vertices of the star,

Formula to measure the internal angle of a polygon is,

Measure of internal angle = 180\times \frac{(n-2)}{n}

Measure of ∠ABC = \frac{(5-2)}{5}\times 180

                              = 108°

Since, one side star divides the interior angle into three equal parts,

Measure of interior angle = \frac{108}{3} = 36°

From ΔAOB,

m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]

36° + a + 36° = 180°

a + 72° = 180°

a = 180 - 72

a = 108°

Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.

7 0
4 years ago
If the starting time of a project is 11:25 and the finishing time if 13:40 , what is the duration.
antoniya [11.8K]

Answer:

The duration is 135 minutes ie. 2 hours and 15 minutes

3 0
2 years ago
2/5•35 what is the awnser plz help
diamong [38]
If (.) represent multplication the answer is
2/5×35=14
if (.) represent decimal the answer is
2/ 5.35= 40/107
7 0
4 years ago
Please help me i really need it i know that it is a lot but i could really use it
k0ka [10]

1. 1/49

2. 1/625

3. 1/8

4. 1/216

5. 1/64

6. 25/121?

7. 1/256

8. -1/531441?

9. a^4/9

10. 1/12t^3

11. 25/b^4

12. 7/r^7

13. 4x^5/y^3

14. 3g^3

I hope this is all right, if it's not I apologize.

7 0
3 years ago
the function f(x)= x1/3 is transformed to get function h. h(x)= (2x)1/3+5 which statements are true about function h
Bess [88]

The transformation of a function may involve any change. The function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

  • Left shift by c units, y=f(x+c) (same output, but c units earlier)
  • Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

  • Up by d units: y = f(x) + d
  • Down by d units: y = f(x) - d

Stretching:

  • Vertical stretch by a factor k: y = k \times f(x)
  • Horizontal stretch by a factor k: y = f(\dfrac{x}{k})

The function f(x)=x^(1/3) is transformed to form the function of  h(x)=(2x)^(1/3)+5. Therefore, the transformation made to the function is,

Vertically stretched by a factor of 2^(1/3) ⇒ 2^(1/3) × x^(1/3) = (2x)^(1/3)

Up by 5 units ⇒ (2x)^(1/3) + 5

Hence, the function f(x) is vertically stretched and shifted 5 units upwards to form h(x).

Learn more about Transforming functions:

brainly.com/question/17006186

#SPJ1

7 0
2 years ago
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