Skyolivera05idn
Answered

From simple questions to complex issues, IDNLearn.com has the answers you need. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

What are the values of x and y?

Question 18 options:


A)


x = 8; y = 4


B)


x = 8[tex]\sqrt{3}[/tex] ; y = 4[tex]\sqrt{3}[/tex]


C)


x = 6[tex]\sqrt{x3}[/tex] ; y = 3[tex]\sqrt{3}[/tex]


D)


x = 4[tex]\sqrt{3}[/tex] ; y = 8[tex]\sqrt{3}[/tex]

What Are The Values Of X And YQuestion 18 OptionsA X 8 Y 4B X 8texsqrt3tex Y 4texsqrt3texC X 6texsqrtx3tex Y 3texsqrt3texD X 4texsqrt3tex Y 8texsqrt3tex class=

Sagot :

Clarch19idn

Answer:

B)   x = 8[tex]\sqrt{3}[/tex] ;  y = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90° triangle the sides, respectively, are in the ratio of

1 : [tex]\sqrt{3}[/tex] : 2

we can find 'x' by creating this proportion:

12/[tex]\sqrt{3}[/tex] = x/2

cross-multiply to get:

[tex]\sqrt{3}[/tex]x = 24

x = 24/[tex]\sqrt{3}[/tex]

we can simplify this by 'rationalizing the denominator' which is to

multiply numerator and denominator by [tex]\sqrt{3}[/tex] to get:

(24[tex]\sqrt{3}[/tex])÷3, which is 8[tex]\sqrt{3}[/tex]

we know that side 'y' is half that of side 'x'

therefore y = 4[tex]\sqrt{3}[/tex]

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. For trustworthy answers, visit IDNLearn.com. Thank you for your visit, and see you next time for more reliable solutions.