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Elena L [17]
2 years ago
5

How do you write 0.4 as a fraction?

Mathematics
2 answers:
kari74 [83]2 years ago
7 0

Answer:

Step-by-Step Solution

0.4 = 2/5 as a fraction

To convert the decimal 0.4 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.4 = 0.41

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

0.41 = (0.4 × 10)(1 × 10) = 410.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,

(4÷2)(10÷2) = 2/5 when reduced to the simplest form.

Ivenika [448]2 years ago
3 0

Answer:

Step-by-step explanation:

/4

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The diameter of a circle is 14 in. Find its area in terms of
Luda [366]

Answer:

Given - Diameter of circle = 14 in

To find - Area of circle

Solution -

Diameter= 2 × Radius

14 = 2 × R

14/2 = R

7 = R

Area of circle= π r^²

22/7 × 7 × 7

22 × 7

154

7 0
2 years ago
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0). Whi
madreJ [45]

Answer:

The Transformations are R(O , -90°) & R(O , 270)

Step-by-step explanation:

* Lets revise the rotation of a point

- If point (x , y) rotated about the origin by angle 90° anti-clock wise

∴ Its image is (-y , x)

- If point (x , y) rotated about the origin by angle 90° clock wise

 (270° anti-clockwise or -90°)

∴ Its image is (y , -x)

- If point (x , y) rotated about the origin by angle 180°

∴ Its image is (-x , -y)

* There is no difference between rotating 180° clockwise (-180°) or  

anti-clockwise (180°) around the origin

* Lets solve the problem

∵ One vertex of a triangle is located at (0, 5) on a coordinate grid

∵ The image of the point after the transformation is (5 , 0)

- The coordinates are switched with each other

∴ There is no rotation with 180° or -180° because in the rotation with

 180° and -180° around the origin we change only the signs of the

 coordinates without switch them

∴ There is a rotation with 90° are 270° or -90°

- The zero has no sign

- When we rotate the point (0 , 5) by -90° or 270° around the origin

 we will change the sign of x-coordinate and switch the two

 coordinates

∴ The image of the point is (y , -x)

∵ x = 0 and y = 5

- There is no sign for zero, so we switch the coordinates only

∴ The vertex is located at (5, 0)

∴ The Transformations are R(O , -90°) & R(O , 270)

3 0
2 years ago
Read 2 more answers
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Scilla [17]
It should go between the 8 and the 10.
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2 years ago
Is it always true that multiplying a negative factor by a positive factor results in a negative? If yes, provide an example. If
Fed [463]

Answer:

yes because -3x4 would be negative 3 four times, reseulting in a negative number

Step-by-step explanation:

hope this helped

3 0
2 years ago
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Find the partial fraction decomposition of x-3/x(x^2+3)
Setler [38]

Answer:

-1 / x + (x + 1) / (x² + 3)

Step-by-step explanation:

(x − 3) / (x (x² + 3))

There are two factors in the denominator, so split this into two fractions with unknown numerators:

A / x + (Bx + C) / (x² + 3)

Combine back into one fraction:

(A (x² + 3) + (Bx + C) x) / (x (x² + 3))

Now equate this numerator with the original:

A (x² + 3) + (Bx + C) x = x − 3

Ax² + 3A + Bx² + Cx = x − 3

(A + B) x² + Cx + 3A = x − 3

Match the coefficients:

A + B = 0

C = 1

3A = -3

Solve:

A = -1

B = 1

C = 1

Therefore, the partial fraction decomposition is:

-1 / x + (x + 1) / (x² + 3)

Here's a graph showing that the two are the same:

desmos.com/calculator/hrxfnijewh

3 0
3 years ago
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