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1 year ago

Hi I need question 5 solved using SOH CAH TOA!

Mathematics

1 answer:

Bond [772]1 year ago

5 0

According to the trigonometric functions, we can see that angle x can be found through the one that involves the adjacent side and the hypotenuse, which in this case is the cos,

$cos(x)=\frac{27}{30}$

then, if we apply the inverse we can find the value of x,

$\begin{gathered} cos^{-1}(cos(x))=cos^{-1}(\frac{27}{30}) \\ x\cong25.8 \end{gathered}$

Answer:

$x\cong25.8$

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TiliK225 [7]

The descriptive answer of different part is described below.

<h3>What is Linear Equation?</h3>

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

150 -75 = 75t -50t, combine likes terms

75 = 25t, divide both sides by 25

3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C:

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Learn more about Linear equation from:

brainly.com/question/11897796

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