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katen-ka-za [31]
2 years ago
9

middle" class="latex-formula">
​
Mathematics
2 answers:
fgiga [73]2 years ago
6 0

Answer:

50.35

Step-by-step explanation:

aleksandr82 [10.1K]2 years ago
3 0
50.35 STEP bsnsnakkskskskskkss
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I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
lisov135 [29]

Hi there!

<u>What we need to know:</u>

The three main trigonometric ratios are sine, cosine and tangent:

\displaystyle sin\theta=\frac{opposite}{hypotenuse}     \displaystyle cos\theta=\frac{adjacent}{hypotenuse}    \displaystyle tan\theta=\frac{opposite}{adjacent}

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

\displaystyle cos\theta=\frac{adjacent}{hypotenuse}

Plug in the given information:

\displaystyle cos56=\frac{a}{13}

Isolate <em>a</em> by multiplying both sides by 13:

13\displaystyle cos56=a

Solve using a calculator:

a=7.3

Therefore, <em>a</em> is equal to 7.3 when rounded to 1 decimal place.

<u>Other information you will need to know:</u>

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

\displaystyle sin\theta=\frac{5}{8}

In this case, we will use the inverse sine ratio:

\displaystyle \theta=sin^-^1(\frac{5}{8})

Solve using a calculator:

\displaystyle \theta=39

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0
2 years ago
Help Please 20 POINTS <br> Which expressions are equivalent to the following?
o-na [289]

Answer:

\large\boxed{5x(6x-x-2)}\\\\\boxed{-5(-6x^2+x+2)}\\\\\boxed{5(2x+1)(3x-2)}

Step-by-step explanation:

30x^2-5x-10=5(6x^2-x-2)=5(-1)(-6x^2+x+2)=-5(-6x^2+x+2)\\\\30x^2-5x-10=30x^2+15x-20x-10=15x(2x+1)-10(2x+1)\\\\=(2x+1)(15x-10)=(2x+1)(5)(3x-2)=5(2x-1)(3x-2)

4 0
3 years ago
I need a quick good conclusion thank you
Debora [2.8K]
You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data
8 0
3 years ago
If you follow me you get 10 points.
Bad White [126]

Answer:

OK!!!

Have a nice day!!!!

5 0
3 years ago
How to solve a system of three equations with substitution
zloy xaker [14]

Answer:

Usually there are the variables x y z but it doesn't matter what they are.

Step-by-step explanation:

First choose your first variable to solve. Find x by putting all the numbers and variables to one side.

once you found x substitute the answer for x in all the equations. Next find y and substitute your answer in all the equations again.

Once you have solved 2 variables then you are able to solve z.  

If you have questions please feel free to ask in the comments below.

4 0
3 years ago
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