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astraxan [27]
3 years ago
15

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit

number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?
Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer:  

The Original Number is 36 :)

explanation:

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Find the rectangular coordinates of the point (squareroot3, pi/6)
svet-max [94.6K]

Answer:

The rectangular coordinates of the point are (3/2 , √3/2)

Step-by-step explanation:

* Lets study how to change from polar form to rectangular coordinates

- To convert from polar form (r , Ф) to rectangular coordinates (x , y)

 use these rules

# x = r cos Ф

# y = r sin Ф

* Now lets solve the problem

∵ The point in the rectangular coordinates is (√3 , π/6)

∴ r = √3 and Ф = π/6

- Lets find the x-coordinates

∵ x = r cos Ф

∵ r = √3

∵ Ф = π/6

∴ x = √3 cos π/6

∵ cos π/6 = √3/2

∴ x = √3 (√3/2) = 3/2

* The x-coordinate of the point is 3/2

- Lets find the y-coordinates

∵ y = r sin Ф

∵ r = √3

∵ Ф = π/6

∴ y = √3 sin π/6

∵ sin π/6 = 1/2

∴ y = √3 (1/2) = √3/2

* The y-coordinate of the point is √3/2

∴ The rectangular coordinates of the point are (3/2 , √3/2)

6 0
3 years ago
Which inequality has no solution?<br> 6(x+2) &gt; x-3<br> 3+4x2(1+ 2x)<br> -2(x+6) X-9 &lt;3(x-3)
Juli2301 [7.4K]

Answer:

6(x + 2) > x - 3

6x + 12 >  x - 3

6x - x >  - 12 - 3

5x >  - 9

3 + 4 \times 2(1 + 2x)

3 + 8(1 + 2x)

3 + 8 + 16x

11 + 16x

- 2(x + 6)x - 9 < 3(x - 3)

- 2( {x}^{2}  + 6x) - 9 < 3x - 9

- 2 {x}^{2}  - 12x - 9 < 3x - 9

5 0
3 years ago
eleanor was curious if triangles DEF and GHI were similiar so she tried to map one figure onto the other using rigid transformat
luda_lava [24]

Answer:

Eleanor was curious if triangles DEF and GHI were similar, so he tried to map one figure onto the other using rigid transformations Eleanor concluded "It's not possible to map triangle DEF on GHI using a sequence of rigid transformations, so the triangles are not similar. ... So the triangles are similar.

Step-by-step explanation:

4 0
3 years ago
Can someone pleaseeee help if you’re correct I’ll give u brainlist
nadezda [96]

Answer:

4

Step-by-step explanation:

this is an equilateral triangle, meaning all sides and angles are the same

5 0
2 years ago
3x-5y&gt;20 what's the inequality for y
Alexeev081 [22]

X<20-5y (the whole expression divided by 3)


7 0
3 years ago
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