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blsea [12.9K]
3 years ago
11

Simplify 1/3 - 1/2 + 2/5

Mathematics
2 answers:
Digiron [165]3 years ago
6 0

Answer:

\frac{1}{3}  -  \frac{1}{2}  +  \frac{2}{5}

=  \frac{10 - 15 + 2×6}{30}

=  \frac{10 - 15 + 12}{30}

\frac{-5 +12}{30}

= 7 /30

fenix001 [56]3 years ago
3 0

Answer:

\frac{1}{3}  -  \frac{1}{2}  +  \frac{2}{5}

=  \frac{10 - 15 + 2 \times 6}{30}

=  \frac{10 - 15 + 12}{30}

=   \frac{ - 5 + 12}{30}

=  \frac{7}{30}

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If 0 lies in the quadrant IV. What can be the value of cos 0?
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Answer:

Positive one

Step-by-step explanation:

The angle 0 does not lie in any of the four quadrants, it lands directly in between quadrants I and IV. The value of cos 0 is always 1.

4 0
3 years ago
What is the solution to the equation below?<br> log7+log(x-4)= 1
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Answer: x=38/7

Step-by-step explanation:

8 0
2 years ago
The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,
igor_vitrenko [27]

Answer:

2x

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4 0
2 years ago
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What must be true for lines a and b to be parallel lines? Check all that apply.
Dima020 [189]

Answer:

Option (1), (2) , (7) and (8) is correct.

Step-by-step explanation:

Given: a║b  and d and c be transversal , We have to find the value of x and measure of angle 1 and 2.

Since, a║b  and d be a transversal  then ,

∠BXZ = ∠AZP = 58° ( corresponding angles )

Thus, m∠2 = 58°

∠BYC = ∠XYZ = (4X-10)° (vertically opposite angles)

Since, a║b  and c be a transversal  then,

  ∠XYZ = ∠QZU = (4X-10)°  (Corresponding angles)

Thus, m∠1 =  (4X-10)°

Also, Since, 'a' is a straight line.

Sum of angles on a straight line is 180°.

⇒ ∠PZA + ∠PZQ + ∠QZU = 180°

⇒ 58° +(3X-1)°+(4X-10)° = 180°

⇒ 58° + 7x - 11 = 180°

⇒ 47° + 7x  = 180°

⇒  7x  = 180°- 47°

⇒  7x  = 133°

⇒  x  = 19°

Put x = 19 in (3X-1)° and (4X-10)° , we get

(3X-1)° = (3(19)-1)° = 56°

(4X-10)° = (4(19)-10)°= 66

Thus, (3X-1)° ≠ (4X-10)°

Thus, option (1), (2) , (7) and (8) is correct.


5 0
3 years ago
Read 2 more answers
Write an equation of a line passing through the point (4,-9) and parallel to the line 3x-6y=30
sesenic [268]

The equation of a line in the slope intercept form is expressed as

y = mx + c

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m represents slope

c represents y intercept

The equation of the given line is expressed as

3x - 6y = 30

Rearranging it so that it will look like the slope intercept form, it becomes

6y = 3x - 30

Dividing both sides by 6, it becomes

6y/6 = 3x/6 - 30/6

y = x/2 - 5

Looking at the equation, slope, m = 1/2

If two lines are parallel, it means that they have equal slope. This means that the slope of the line parallel to the given line is 1/2

To determine the y intercept, c of the line passing through the point (4, - 9), we would substitute

x = 4, y = - 9 and m = 1/2 into the slope intercept equation. It becomes

- 9 = 1/2 * 4 + c

- 9 = 2 + c

c = - 9 - 2

c = - 11

By substtuting m = 1/2 and c = - 11 into the slope intercept equation, the equation of the line would be

y = x/2 - 11

7 0
9 months ago
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