Mathematics, 09.10.2021 16:00 isaacb6291

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

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I

Answers: 1

Show answers

Answers

Answer from: portedon8644

Hi there!

What we need to know:

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.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent 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 a by multiplying both sides by 13:

$13\displaystyle cos56=a$

Solve using a calculator:

a=7.3

Therefore, a is equal to 7.3 when rounded to 1 decimal place.

Other information you will need to know:

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!

Answer from: Fangflora3

This is what I did for the first one

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’

Answer from: Quest

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

Answer from: Quest

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Which of those sequences is a geometric sequence

Answers: 1

Answer

Mathematics, 21.06.2019 18:00

Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

Consider the function f(x)=-5x+3 what is f(-2)

Answers: 2

Answer

Mathematics, 21.06.2019 21:00

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Answers: 1

Answer

You know the right answer?

I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’...