Answer:
Option A. -(
)
Step-by-step explanation:
Equation of a given line is a + 4b = 0 or b = -
This in the form of y = mx + b, which is slope-intercept form.
Here slope of the line is (
).
Or tanθ = 
This line coincides with the terminal side of the angle in standard position where cosθ > 0
Since tanθ = 
and sinθ = 
Hypotenuse = 
= 
= 
Since tanθ is negative and cosθ > 0 that means θ lie in fourth quadrant.
Therefore, sinθ will be negative.
[
]
sinθ = -
= -
Answer will be option A.
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3. The correct option is D.
<h3>What is the equation of the circle with radius r units, centered at (x,y)?</h3>
If a circle O has a radius of r units length and it has got its center positioned at (h, k) point of the coordinate plane,
then, its equation is given as:

The equation of unit circle is

Thus, x = √2/ 3
If the point ( x, √3/ 3) is on the unit circle, then the value of x will be √2/ 3.
The correct option is D.
Learn more about the equation of a circle here:
brainly.com/question/10165274
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Answer:
The dimensions of the park is 18yd by 18yd
Step-by-step explanation:
A square-shaped park has an area of 324 yd.
A square is composed of equal length dimensions so if the area is 324 yd² ,the dimensions or length if one side of the square will be the root of 324 yd².
Length= √324
Length= 18 yd
Dimensions of the park is 18 yd by 18 yd