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slega [8]
2 years ago
12

Find the length of side x in simplest radical form with a rational denominator​

Mathematics
1 answer:
HACTEHA [7]2 years ago
5 0

Answer:

x =  \sqrt{2}

Step-by-step explanation:

\tan 30 \degree =  \frac{x}{ \sqrt{6} }  \\  \\  \frac{1}{ \sqrt{3} } =  \frac{x}{ \sqrt{6} }    \\  \\ x =  \frac{ \sqrt{6} }{ \sqrt{3} }  \\  \\ x = \frac{ \:  \sqrt{3}  \times  \sqrt{2} }{ \sqrt{3} }  \\  \\ x =  \sqrt{2}

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a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?
PSYCHO15rus [73]

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

6 0
2 years ago
Which property is 5+ a = a + 5 ?
zheka24 [161]

Answer:

commutative \: property \: of \: addition \\ thank \: you

6 0
2 years ago
Find the value of x that makes ABCD a parallelogram.
olganol [36]

The angle 5x will be 50⁰. Then the correct option is D.

<h3>What is a parallelogram?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

The diagram is given below.

We know the sum of internal angles is 360 degrees.

Then we have

5x + 130 + 5x + 130 = 360

                         10x = 100

                             x = 10

Then the angle 5x will be

5x = 5(10)

5x = 50⁰

Then the correct option is D.

More about the parallelogram link is given below.

brainly.com/question/1563728

#SPJ1

4 0
1 year ago
Eileen collected 98 empty cans to recycle and Carl 82 cans. They packed a equal number of cans into each of three boxes. How man
Sonbull [250]

Answer: 60 cans in each box


Step-by-step explanation:

98+82=180

180/3=60

8 0
2 years ago
When constructing a graph that compares the land areas of the five largest countries, you choose to depict the five areas with s
Lera25 [3.4K]
Yes, the variable of interest is two-dimensional.

If you are making a graph about the area of a country, that is a two dimensional measurement. It would be ok to make a graph that is also 2 dimensional.
5 0
3 years ago
Read 2 more answers
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