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REY [17]
3 years ago
5

In △JKL, solve for x. (A)74.89 (B)30.29 (C)38.16 (D)66.73

Mathematics
2 answers:
Stels [109]3 years ago
4 0

ANSWER

(C)38.16

EXPLANATION

The acute angle given in the right triangle is 27°.

The side length adjacent to the 27° angle is 34 units.

The side length we want to find is x units, which is the hypotenuse of the right triangle.

We use the cosine ratio to obtain:

\cos(27 \degree)  =  \frac{adjacent}{hypotenuse}

\cos(27 \degree)  =  \frac{34}{x}

Solve for x,

x  =  \frac{34}{\cos(27 \degree)}

x = 38.16

to the nearest hundredth.

Vlad [161]3 years ago
3 0

Answer:

The correct answer is option C.  38.16

Step-by-step explanation:

<u>Points to remember</u>

<u>Trigonometric ratios</u>

Sin θ  = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

<u>To find the value of x</u>

From the figure we can see a right angled triangle. △JKL

Cos 27 = Adjacent side/Hypotenuse

 = KL/JL

 = 34/x

x = 34 / Cos 27

 = 34 / 0.891

 = 38.16

Therefore the correct answer is option C.  38.16

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3 years ago
Kaylee and Olivia go to the movie theater and purchase refreshments for their friends.
KatRina [158]

The price of one bag of popcorn is $3.75

Step-by-step explanation:

Let,

x represent the cost of a bag of popcorn

y represent the cost of a drink.

According to given statement;

4x+12y=30      Eqn 1

x+6y=11.25      Eqn 2

Multplying Eqn 2 by 2

2(x+6y=11.25)\\2x+12y=22.50\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 1

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Dividing both sides by 2

\frac{2x}{2}=\frac{7.50}{2}\\x=3.75

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.

The price of one bag of popcorn is $3.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11821063
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#LearnwithBrainly

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{a}^{ \frac{m}{n} }  =  \sqrt[n]{ {a}^{m} }

If 14^x = ¹³√14, what value of <em>x </em>makes this equation true?

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So, the value of <em>x</em> is 1/13 (4th choice)

<em>Hope</em><em> </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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Take the square root of 100 and you get c=10

5 0
3 years ago
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