For the following question, find the value of the variable(s). if your answer is not an integer, leave it in simplest radical form.

option(D)

x= 30 , y = 10√3

Step-by-step explanation:

Given in the question, a right angle triangle whose

hypotenuse = 20√3

We will use pythagorus theorem and trigonometry identities to find the value of x and y

Formula to use

sin(30) = y /  20√3

y = sin(30) x 20√3

y = 10√3

(20√3)² =  (10√3)² + x²

(20√3)² - (10√3)² = x²

x² = 900

x = √900

x = 30

so, the value of x = 30 and y = 10√3

Step-by-step explanation:

Recall the mnemonics SOH CAH TOA.

We use the cosine ratio to find the value of .

This implies that;

Cross multiply to get;

Using the sine ratio

Tis implies that;

The correct choice is D.

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!