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const2013 [10]
3 years ago
12

Find the value of x. write your answer in simplest radical form

Mathematics
2 answers:
BartSMP [9]3 years ago
8 0

Answer:

<h2>x = 4 \sqrt{2}</h2>

Step-by-step explanation:

To find the value of x we can use either sine or cosine

Using cosine we have

<h3>\cos(\theta)  =  \frac{adjacent}{hypotenuse}</h3>

From the question

x is the hypotenuse

4 is the adjacent

We have

<h3>\cos45=  \frac{4}{x}  \\ x \cos45 = 4 \\ x =  \frac{4}{ \cos(45) }</h3>

We have the final answer as

<h3>x = 4 \sqrt{2}</h3>

Hope this helps you

Vitek1552 [10]3 years ago
4 0

Step-by-step explanation:

Sinø=opp/hyp

Sin45=4/x. (× b.s by x)

xSin45=4. (÷ b.s by Sin 45)

x=4/Sin45

x=4.7

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