Help meeee i keep confusing myselffff
1 answer:
You might be interested in
Answer:
∠F = 42° to the nearest degree
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle.
Kindly note that since one of the angles we are dealing with in the triangle is 90°, this means that the triangle is a right-angled triangle
Please check attachment for the diagrammatic representation of the triangle
From the diagram, we can identify that the EF is the hypotenuse and the length FG is the adjacent. Thus , the appropriate trigonometric identity to use is the cosine
mathematically;
Cosine of an angle = length of adjacent/length of hypotenuse
F = 42.07
∠F = 42° to the nearest degree
Answer:
The correct option is C.
C) ellipse, -30°
Step-by-step explanation:
General form of equation for a conic section is:
(A)x² + (B)xy + (C)y² + (D)x + (E)y + F = 0
The equation of the conic section is given:
21x² - (8√3)xy + 13y² = 225
21x² - (8√3)xy + 13y² - 225 = 0
Which can be rewritten as:
(21)x² + (-8√3)xy + (13)y² + (0)x + (0)y + (-225) = 0
where
A = 21
B = -8√3
C = 13
D = 0
E = 0
F = -225
Consult the table below.
As A ≠ C and and AC > 0 , the equation represents an ellipse
The angle of rotation can be found by following equation:
cot(2θ) = (A - C)/B
cot(2θ) = (21 - 13)/(-8√3)
2θ = cot⁻¹(8/-8√3)
2θ = 120°
θ = 60° (from x-axis)
As the major axis of ellipse lies on y-axis, axis of rotation from y-axis is
θ = -30°
