Pls pls pls help me I will give brainlist pls

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!

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!

3 0

3 years ago

Which of the following radical expressions is equivalent to √27 - 5√3?

Step2247 [10]

Answer:hate math brother

Step-by-step explanation:

6 0

3 years ago

F(x)=(x−7)2−64 Find the zeros of the function. Enter the solutions from least to greatest.

postnew [5]

The zeros are f(z)=(z-

6 0

3 years ago

Help pls it is my homework Can y'all help me?

Hitman42 [59]

Answer:

A

Step-by-step explanation:

the mean is what occurs most often

4 0

3 years ago

Complete the point-slope equation of the line through (-5,4) and (1,6) y-6=????

elena-s [515]

$\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{4})\qquad 
(\stackrel{x_2}{1}~,~\stackrel{y_2}{6})
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-4}{1-(-5)}\implies \cfrac{6-4}{1+5}\implies \cfrac{2}{6}\implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_2= m(x- x_2)}\implies y-6=\cfrac{1}{3}(x-1)$

bearing in mnd that for the point-slope form, you can always fill it in with either x₁, y₁, or x₂, y₂, either one will do.

5 0

3 years ago