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3 years ago

PLEASE HELP

Mathematics

1 answer:

hram777 [196]3 years ago

3 0

Answer:

answer; a)5√11/11

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If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago

Rationalise the denominator.

grin007 [14]

Let's see what to do buddy...

_________________________________

To do this, we have to multiply the face and denominator of the fraction by the denominator conjunction, which is :

$(5 -\sqrt{2})$

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

Reminder :

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

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

$\frac{1}{ 5-\sqrt{2} } \times \frac{ 5+\sqrt{2} }{ 5 +\sqrt{2} } = \frac{1 \times ( 5 +\sqrt{2}) }{(5- \sqrt{2} )( 5 +\sqrt{2}) } = \\$

The other is in the photo.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0

3 years ago

If you have 2 pounds of grapes and there $6 how much is 1 pound grapes?

Vikki [24]

Answer:

Step-by-step explanation:

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I need help finding the angles. The answer Isn't even

mart [117]

The 3 inside angles of a triangle equal 180.

Add the 3 angles together to equal 180:

X + (5x-20) + 4x = 180

Simplify the left side by adding like terms:

10x-20 = 180

Add 20 to each side:

10x = 200

Divide both sides by 10:

x = 20

Angle A = x = 20

Angle B = 4X = 4(20) = 80

Angle C = 5x-20 = 5(20) -20 = 100-20 = 80

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3 years ago

CAn someone help with this question

polet [3.4K]

Answer: if the blue rectangles are x, then x = 1/2

1/2 + 1/2 = 1

the green shapes each = 1

so you have 1 + 1 + 1 = 3 which is true so

x = 1/2

Step-by-step explanation:

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