Using trigonometric relations, we will see that:
sin(θ ) = -0.8
<h3>
How to get the sine of the angle?</h3>
For any point (x, y), the angle between the positive x-axis and the ray that connects the origin with the point (x, y) is:
θ = Atan(y/x)
In this case, the point is (3, -4), then the angle is:
θ = Atan(-4/3) = -53.13°
Then the sine of theta is:
sin(θ = -53.13°) = -0.8
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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Answer:
w =4 ft and l =10 ft
Step-by-step explanation:
Let w = width
l = 2w+2
A = l*w
A = (2w+2)(w)
40 = (2w+2) w
Distribute
40 = 2w^2 +2w
Subtract 40
0 = 2w^2 +2w - 40
Dividing each side by 2
0 = w^2 +w -20
Factor
0 = (w+5) (w-4)
Using the zero product property
w+5 =0 w-4=0
w= -5 w=4
Since we cant have a negative length
w=4
l = 2w+2 = 2(4)+2 = 8+2 =10
Easy and fast way to do it:
Go to google and type, " volume of a cone calculator" and type in the radius and height.
Https://www.khanacademy.org/math/in-sixth-grade-math/ratio-and-proportion/unitary-method/v/finding-unit-rates
