smoshfor
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.


a.
x = 10/3, y = 30
b. x= 10, y = 30-3
c. x= 30/3, y=10
d. x = 30, y = 10.73

A X 103 Y 30 B X 10 Y 303 C X 303 Y10 D X 30 Y 1073 class=

Sagot :

BasketballEinstein

Answer:

d. [tex]\displaystyle x = 30, y = 10\sqrt{3}[/tex]

Step-by-step explanation:

In a 30°-60°-90° triangle, the shorter leg is represented by [tex]\displaystyle x,[/tex]the longer leg is represented by [tex]\displaystyle x\sqrt{3},[/tex]and the hypotenuse is represented by [tex]\displaystyle 2x.[/tex] So, evaluate:

[tex]\displaystyle hypotenuse \hookleftarrow 2x \\ long\:leg \hookleftarrow x\sqrt{3} \\ short\:leg \hookleftarrow x \\ \\ 20\sqrt{3} = 2x\:[x\:is\:'y'\:in\:this\:case]; 10\sqrt{3} \\ \\ \\ x\sqrt{3} = x \\ \\ 30 = 10\sqrt{3}[\sqrt{3}][/tex]

In the end, you arrive at this:

[tex]\displaystyle x = 30, y = 10\sqrt{3}[/tex]

I am joyous to assist you at any time.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.