The linear equation that has a slope-angle of 150° and goes through (4,0) is given by:
y = -0.577x + 2.308.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The line has a slope-angle of 150°, hence the slope is:
m = tan(150º) = -0.577.
Hence:
y = -0.577x + b.
It goes through (4,0), hence:
0 = -0.577 x 4 + b
b = 2.308.
Hence the equation is:
y = -0.577x + 2.308.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
D. 2
Step-by-step explanation:
soh cah toa rule
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
csc is 1/sin which is hypotenuse over opposite
if csc is -√5/2 then
hypotenuse is -√5
opposite is 2
3rd quadrant on a graph is bottom left
both x and y values are negative
hypotenuse means its a triangle
pythagorean theorem
a^2 + b^2 = c^2
a^2 + 2^2 = (-√5)^2
a^2 + 4 = 5
a = 1 = adjacent
tangent equals opposite over adjacent
tan is 2 / 1 which is 2
third quadrant means it's still positive
because tan is positive in quadrant 3
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Answer: 36.11 Ft
Step-by-step explanation:
Circumference formula
C = 2 • pie,3.14 • R
C = 2 • 3.14 • 4.75 = 36.11
