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2 years ago

I need help solving this

Mathematics

1 answer:

Gemiola [76]2 years ago

7 0

Since the graphic shows you that both angles across from both of the sides are equal we can tell that both sides are equal.
Now to solve for the variable all you need to do is make an equation where both of the sides are equal to each other.
So...8x - 12 = 12x - 18
Now to solve you need to get rid of the constants, or regular numbers. To do this, add 12 to both sides.
So...8x = 12x - 6
Next, you need to move the variable to one side, do this by subtracting 12x from both sides.
So... -6x = -6
Finally, divide both sides by -6 to get what the variable equals.
So...x = 1
Your final answer is both sides equal 1 in.

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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

2 years ago

The area of a rectangle is 35 ft2 , and the length of the rectangle is 8 ft less than three times the width. find the dimensions

atroni [7]

The width is five feet and the length is seven feet.

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2 years ago

How many numbers of possible live card hands (hands in five-card poker) drawn without replacement from a standard deck of 52 pla

makkiz [27]

The combination shows that the numbers of possible live card hands drawn without replacement from a standard deck of 52 playing cards is 2,598,960.

<h3>How to explain the information?</h3>

A permutation is the act of arranging the objects or numbers in order while combinations are the way of selecting the objects from a group of objects or collection such that the order of the objects does not matter.

Since the order does not matter, it means that each hand is a combination of five cards from a total of 52.

We use the formula for combinations and see that there are a total number of C( 52, 5 ) = 2,598,960 possible hands.

Learn more about permutations and combination on:

brainly.com/question/4658834

#SPJ1

3 0

1 year ago

To the nearest hundredth, what is the value of x?

Anna [14]

Answer:

1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:

sin53° = x/45 => x = sin53° · 45 ≈35.94

2. We already have one out of two legs of the triangle and one acute angle so we know that:

tan27° = 48/x => x = 48/tan27° ≈ 94.21

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2 years ago

Of the 48 oranges in a carton, one-third of them were rotten. Ben and David took the remaining good oranges. If Ben took 8 more

kow [346]

First you need to find out what is 1/3 of 48 which is 16
Then 48-16 which is 32
so now you know there are 32 oranges left
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2 years ago

Read 2 more answers