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kifflom [539]
2 years ago
10

Solve for the variable! 4 questions! Need to turn it in soon so ASAP!

Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
6 0

Answer:

Step-by-step explanation:

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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
What’s the correct answer for this question?
Paladinen [302]

The second option.

Basically, you can use SAS.

3 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 128°. Find the value of x.
denis23 [38]

Answer:

x = 104

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

24+x = 128

Subtract 24 from each side

24+x-24 =128 -24

x =104

3 0
3 years ago
The equation d = d equals StartFraction m Over V EndFraction. can be used to calculate the density, d, of an object with mass, m
Alisiya [41]

Answer:

m/d = V

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How do you do this? I'll give brainliest, please help.
Dmitriy789 [7]

Answer:

Domain is all values of X or (-∞,∞)

Range is all the possible values of Y. Since it goes up to 3, and then it goes down, it's all values less than or equal to y, or (-∞,3] or y ≤ 3 (depending on how you need to enter the response.

Step-by-step explanation:

6 0
3 years ago
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