Simplify. 8.16mn + 6V8mn 2-12mn 4/3 + 6 6./3 + 4 6.16 + 3

Mathematics

2 answers:

Olenka [21]4 years ago

7 0

Answer:

$4\sqrt{3}+6$

Step-by-step explanation:

$\dfrac{8\sqrt{6mn}+6\sqrt{8mn}}{2\sqrt{2mn}}=\dfrac{(8\sqrt{6})\sqrt{mn}}{(2\sqrt{2})\sqrt{mn}}+\dfrac{(6\sqrt{8})\sqrt{mn}}{(2\sqrt{2})\sqrt{mn}}\\\\=\dfrac{8}{2}\sqrt{\dfrac{6}{2}}+\dfrac{6}{2}\sqrt{\dfrac{8}{2}}=4\sqrt{3}+3\sqrt{4}\\\\=4\sqrt{3}+6$

pashok25 [27]4 years ago

3 0

Answer:

4*squareroot* 3 + 6 (A)

Step-by-step explanation:

decimal version: 12.929

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A right triangle has side lengths a, b, and c as shown below.

Musya8 [376]

Answer:

$\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}$

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

Side a is the adjacent (A)
Side b is the opposite (O)
Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

$\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}$

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

$\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}$

Hope it will find you well