<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
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Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
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Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
line given slope = x coefficient = 1/3
Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
line slope (m) = -3
line equation formula = y = mx + b
y = -3x + b
from the point given
x = 3
y= 3
3 = -9 + b
b = 12
y = -3x + 12
It's -1 because if you set -3 to x-1, you get x=-2.
2(-2)+3 would get you -1.
Answer:
y + 8 = - 3(x - 5)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (5 - 8) , thus
y - (- 8) = - 3(x - 5) , that is
y + 8 = - 3(x - 5)
Let's say he took half an hour to make half a painting he required a quarter of an hour.
