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ahrayia [7]
3 years ago
9

What formula should be used when factoring the expressionn x^3+27

Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

x³ + 27 which can be written as x³ + 3³

It is in the form of a³ + b³ = ( a + b) ( a² - ab + b²)

so

x³ + 3³

= (x+ 3) (x² - x * 3 + 3²)

= ( x + 3 ) ( x² - 3x + 9)

Hope this helps you.

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Find the length of LM. Show your work.
kicyunya [14]

Answer:

<h2>20</h2>

<em>Solution</em><em>,</em>

<em><</em><em>N=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>5</em><em>3</em><em>-</em><em>4</em><em>4</em>

<em> </em><em> </em><em> </em><em> </em><em>=</em><em>8</em><em>3</em>

<h3><em>Apply </em><em>sines </em><em>rule,</em></h3>

<em>\frac{lm}{sin \: 83}  =  \frac{14}{sin44}  \\ lm =  \frac{14 \: sin \: 83}{sin \: 44}  \\ lm = 20</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em>

4 0
2 years ago
Read 2 more answers
Is there a fast trick to convert centimeters to feet?
ElenaW [278]

Answer:

Step-by-step explanation:

The only way I know is to divide the centimeters by 30.48

4 0
2 years ago
Need help with these math questions please.
Bas_tet [7]

Answer:

8 - 2π square units.

π/16 - 1/8 square units.

6π - 9√3 square units.

Step-by-step explanation:

The area of the square = 2√2 * 2√2

= 2*2*2

= 8.

The area of the circle = πr^2

= π * [ ( 2√2)/ 2) ]^2

=  π (√2)^2

=  2π.

Second Question:

The area of the circle = π(1/2)^2 = π/4.

Finding the area of the square:

1^2 = 2x^2

x^2 = 1/2

So the area of the square = 1/2

So the area of the red part = 1/4 ( π/4 - 1/2).

= π/16 - 1/8.

Third question

Area of the circle = 6^2 * π = 36π.

Now 60 degrees is 1/6 of 360 degrees so the are of the sector is 6π.

The area of the segment = 6π -  0.5 * 6^2 sin 60

= 6π - 18√3/2

= 6π - 9√3 square units.

6 0
2 years ago
If N = f(x) and f(x) = 3x^2 −x−5
harina [27]

Answer:

I really don't know so sorry

8 0
3 years ago
Suppose that a simulation with a six-sided number cube provided these results during testing.
lyudmila [28]
Theoretical probability:
1 ... (16 and 2/3) %
2 ... (16 and 2/3) %
3 ... (16 and 2/3) %
4 ... (16 and 2/3) %
5 ... (16 and 2/3) %
6 ... (16 and 2/3) %

Experimental results:
1 ... 18
2 ... 16
3 ... 16
4 ... 17
5 ... 16
6 ... 17

The total number of rolls in the experiment was

         (18 + 16 + 16 + 17 + 16 + 17)  =  100

so the expected frequency for each outcome was 16-2/3 times,
and the SIMULATION probabilities were

1 ... 18%
2 ... 16%
3 ... 16%
4 ... 17%
5 ... 16%
6 ... 17%

To me, this looks fantastically close.  The cube
could hardly be more fair than it actually is.










8 0
3 years ago
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