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3 years ago

Directions: Use the Law of Sines to find each missing side or angle. Please help

Mathematics

1 answer:

nlexa [21]3 years ago

5 0

Answer:86.59

Step-by-step explanation:

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What is the value of x?

adell [148]

again, we're assuming that both triangles are similar, and thus using proportions.

$\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}$

we do not use the -10, because whatever value "x" may be, can't be negative or even 0.

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2 years ago

What is the direct linear variation equation for the relationship?

defon

$\bf \begin{array}{cccccclllll}
\textit{something}&&\textit{varies directly to}&&\textit{something else}\\ \quad \\
\textit{something}&=&{{ \textit{some value}}}&\cdot &\textit{something else}\\ \quad \\
y&=&{{ K}}&\cdot&x
\\ \\
&& y={{ K }}x
\end{array}
\\ \quad \\

\begin{cases}
y=4\\
x=12
\end{cases}\implies y=Kx\implies 4=K\cdot 12$

solve for "K", to see what "K" is, or the "constant of variation",
once you found K, plug it back in y=Kx, and that's the equation

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3 years ago

What type of correlation is suggested by the scatter plot?

Anarel [89]

Answer:

Step-by-step explanation:

The dots are pretty close to each other and are going negatively so there is a correlation ( so C and D can't be right) and the dots are going negative ( so A can't be right) meaning B is right :)

5 0

3 years ago

Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than $15,000. The

Nadya [2.5K]

The possibilities of the price of car B are values greater than $146645 and values less than $116645

<h3>Write an absolute value inequality that describes this situation. Use x for the price of car B.</h3>

The price of car A is given as:

Car A = 131645

The price difference is given as;

Difference = 15000

The absolute value inequality is represented as:

|x - Car A| > Difference

So, we have:

|x - 131645| > 15000

Hence, the absolute value inequality is |x - 131645| > 15000

<h3>b. What are the possibilities for the price of car B?</h3>

In (a), we have:

|x - 131645| > 15000

Remove the absolute bracket

x - 131645 > 15000 and x - 131645 < -15000

Add 131645 to both sides of the inequality

x > 146645 and x < 116645

Hence, the possibilities of the price of car B are values greater than $146645 and values less than $116645