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Sliva [168]
2 years ago
9

PLEASEE HELPP !! WILL HELP W SS OR HISTORY IF ANSWER

Mathematics
2 answers:
12345 [234]2 years ago
4 0

Answer:

5x-3p

Step-by-step explanation:

(1/3)(3x-6p) + 4x - p

Distribute the 1/3 to the variables in parenthesis.

x - 2p +4x - p

Combine the like variables.

5x - 3p

Hope this helps!

lara [203]2 years ago
3 0

Answer:

5x - 3p

Step-by-step explanation:

Simplify

3x-6p/3 +4x-p

Factor out the common term 3.

3(x-2p)/3 +4x-p

Cancel 3

x-2p+4x-p

Combine like terms

(x+4x) + (-2p-p)

and boom

5x - 3p

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Assoli18 [71]

Answer:  6\sqrt{3}

======================================================

Explanation:

Method 1

We can use the pythagorean theorem to find x.

a^2+b^2 = c^2\\\\6^2+x^2 = 12^2\\\\36+x^2 = 144\\\\x^2 = 144-36\\\\x^2 = 108\\\\x = \sqrt{108}\\\\x = \sqrt{36*3}\\\\x = \sqrt{36}*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

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

Method 2

Use the sine ratio to find x. You'll need a reference sheet or the unit circle, or simply memorize that sin(60) = sqrt(3)/2

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(60^{\circ}) = \frac{x}{12}\\\\\frac{\sqrt{3}}{2} = \frac{x}{12}\\\\x = 12*\frac{\sqrt{3}}{2}\\\\x = 6\sqrt{3}\\\\

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

Method 3

Similar to the previous method, but we'll use tangent this time.

Use a reference sheet, unit circle, or memorize that tan(60) = sqrt(3)

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(60^{\circ}) = \frac{x}{6}\\\\\sqrt{3} = \frac{x}{6}\\\\x = 6\sqrt{3}\\\\

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

Method 4

This is a 30-60-90 triangle. In other words, the angles are 30 degrees, 60 degrees, and 90 degrees.

Because of this special type of triangle, we know that the long leg is exactly sqrt(3) times that of the short leg.

\text{long leg} = (\text{short leg})*\sqrt{3}\\\\x = 6\sqrt{3}\\\\

The short leg is always opposite the smallest angle (30 degrees).

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2 years ago
If you need to talk to someone I'm here for you!
Mashcka [7]

Answer:

thank you so much i really need someone right now

Step-by-step explanation:

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2 years ago
Read 2 more answers
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