The correct answer is "all real numbers greater than or equal to 2".
The value of x will be equal to 4√6. The correct option is B.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The value of side x will be calculated by using the angle properties.
SIn( 45 ) = P / H
Sin (45) = 12 / H
H = 12 / ( 1 / √2) = 12√2
Again using the angle property for finding the value of x.
tan30 = P / B
x = tan30 x B
x = ( 1 / √3 ) x 12√2
x = 4√6
Therefore, the value of x will be equal to 4√6. The correct option is B.
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Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x<span>≤240</span>
