Answer:
θ = 36.9°, 90°, 216.9°, or 270°
Step-by-step explanation:
4 sin 2θ − 3 cos 2θ = 3
Use double angle formulas:
4 (2 sin θ cos θ) − 3 (cos²θ − sin²θ) = 3
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3
Use Pythagorean identity:
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 (sin²θ + cos²θ)
8 sin θ cos θ − 3 cos²θ + 3 sin²θ = 3 sin²θ + 3 cos²θ
8 sin θ cos θ − 6 cos²θ = 0
2 cos θ (4 sin θ − 3 cos θ) = 0
2 cos θ = 0
θ = 90° or 270°
4 sin θ − 3 cos θ = 0
4 sin θ = 3 cos θ
tan θ = 3/4
θ = 36.9° or 216.9°
Answer:
Correct answer: x = 1/6
Step-by-step explanation:
5/12 = x + 1/4 => x = 5/12 - 1/4 = 5/12 - 3/12 = 2/12 = 1/6
God is with you!!
Answer:
0.212 sq-m
Step-by-step explanation:
(refer to attached)
Volume of a cylinder is given by
V = πr² h, where 3 is the radius and h is the height
in this case, h is given as the length of the cylinder of 3 m
r is given to be (3/20)m
hence,
V = πr² h
V = π(3/20)² (3)
V = π (9/400) (3)
V = π (27/400) (assuming π = 3.142)
V = 3.142 (27/400) = 0.212 sq-m
Answer:
-3
Step-by-step explanation:
put into the form y=mx+b
y= -3x + 18
"m" is the slope so -3 is the slope