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zloy xaker [14]

3 years ago

11

Factor by using GCF: 8n3 + 2n2

1 answer:

tensa zangetsu [6.8K]3 years ago

7 0

Answer: 2n^2. let me know if you need the explanation :).

Step-by-step explanation:

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Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

Determine the translation

arsen [322]

Answer:

<em>1 unit left and 7 units up</em>

Step-by-step explanation:

|3 - 2| = |1| = 1

The x-coordinate when from 3 to 2, so it is 1 unit left.

|-4 - 3| = |7| = 7

The y-coordinate when from -4 to 3, so it is 7 units up.

7 0

3 years ago

What is the value of c in the equation? 15.3 = StartFraction c Over 2.1 EndFraction 13.2 17.4 32.13 321.3

harina [27]

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

3 0

3 years ago

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Which equation represents a proportional relationship?

notsponge [240]

Which equation represents a proportional relationship?

C. y=1/2x+3

5 0

3 years ago

Tim found a new jacket on sale. The original price was $96. The tag said that it was 25% off. What was the sale price?

Korolek [52]

$71 because you subtract $96 and the 25 percent off.

4 0

3 years ago