Answer:
Step-by-step explanation:
tan Θ + tan 2Θ + √3 tan Θ tan 2Θ = √3
tan Θ + tan 2Θ = √3 - √3 tan Θ tan 2Θ
tan Θ + tan 2Θ = √3 ( 1 - tan Θ tan 2Θ)
(tan Θ + tan 2Θ) / (1 - tanΘ tan 2Θ) = √3
tan(Θ + 2Θ) = √3
tan 3Θ = tan (
) we know tan Θ = tan α; Θ = nΠ + α, n belongs to z
3Θ = nΠ + Π/3
Θ = nπ/3 + Π/9 for all n in Z
Answer:
1a: 6.283
b: 51.313
c: 285.1
Step-by-step explanation:
Area of a sector = (angle/360)πr²
1a
Area=(45/360)π(4²)=6.283
b
Area=(120/360)π(7²)=51.313
c
Area=(270/360)π(11²)=285.1
We first must find the value of angle z.
Angle z = 90° - 42°
Angle z = 48°
We now use the sine function to find y.
sin(48°) = 35/y
y = 35/sin(48°)
y = 47.0971455362
We now round off to two decimal places.
y = 47.10
I hope this helps....
Answer:
13.7
Step-by-step explanation:
Mx + 4y = 3t
mx = -4y + 3t
x = (-4y + 3t) / m or x = -4y/m + 3t/m
