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mr Goodwill [35]
3 years ago
9

If the lengths of two sides of a triangle are 6 and 7, the length of the third side may be

Mathematics
1 answer:
Ghella [55]3 years ago
5 0

Answer:

  • The third side may be between 1 and 13 units

Step-by-step explanation:

Let the missing side is x.

According to the triangle inequality theorem, the sum of any two sides of a triangle is greater than  the third side.

<u>We have inequalities:</u>

  • 6 + 7 > x ⇒ x < 13
  • 6 + x > 7 ⇒ x > 1
  • 7 + x > 6 ⇒ x > - 1

<u>The common solution is:</u>

  • 1 < x < 13
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MATH, PLEASE HELP ASAP!
Ymorist [56]

The polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

<h3>What is polar coordinate?</h3>

A two-dimensional coordinate system in which a distance from a reference point and an angle from a reference direction identify each point on a plane is as the polar coordinate.

The polar coordinate standard form is;

\rm x = rcos \theta \\\\\ y= rsin \theta

The value of the r is the resultant of the coordinate;

\rm r= \sqrt{2^2+(-2\sqrt{3})^2 } \\\\r= 4

The angle is found as ;

\theta = tan^{-1}(\frac{y}{x}) \\\\ \theta = tan^{-1} \frac{-2\sqrt{3} }{2} \\\\ \theta = -60^0

x= rcos \theta \\\\ x= 4 cos(-60) \\\\ x= rcos \theta \\\\ x= 4 cos [-\frac{\pi}{3} ]\\\\ \rm y = r sin \theta \\\\ y= 4 sin [-\frac{-\pi}{6}]

Hence the polar coordinates of the rectangular coordinates are  (4,5π/3)Option D is correct.

To learn more about the polar coordinate, refer to the link;

brainly.com/question/11657509

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8 0
2 years ago
What is the slope of the line represented by this equation?<br> -3x+8y=12
rewona [7]
Make slope form: y = mx + b
8y = 3x + 12
Divide by 8
Y = 3/8x + 12/8
The slope is 3/8
4 0
3 years ago
Read 2 more answers
Subtract (2xy-2y) from the sum of (10x-2y) and (-3y)<br><br> -8x-3y<br> -8x+3y<br> 8x-3y<br> 8x+3y
marysya [2.9K]

Answer:

I think its C

Step-by-step explanation:

Step-by-step explanation:

8x-3y

3 0
3 years ago
X increased by 61% i really need hep and show me how you got it :))))
Harrizon [31]
The answer would me x + 6.01
And increase means to add so x + 61% = x + 6.01

Hope this helps

Have a great day/night
7 0
3 years ago
Explain 3(x - 2)= 3x -2 using words numbers and symbols
Shalnov [3]

Answer:

x=.3

Step-by-step explanation:

3(x-2)=3x -2

(1x-2)=3(-1x)=3x -2

3(-1x)=3x -2

+3x  +3x

3*2x=2

6x=2

6x/6=2/6

x=.3


4 0
3 years ago
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