Answer:
- cos(θ) = -(√3)/2
- tan(θ) = -(√3)/3
Step-by-step explanation:
Referring to the attached short table of trig functions, we see that the reference angle with sin(θ) = 1/2 is π/6. The table also shows cosine and tangent values for that angle.
In the second quadrant, where π/2 < θ < π, the cosine and tangent are both negative. The values you seek are ...
cos(θ) = -(√3)/2
tan(θ) = -1/√3 = -(√3)/3
75 watch balloons filled in 40 mins
Answer:
x = 24.0
y = 46.4
Step-by-step explanation:
Let opposite side = z
Using trigonometry :
Sin 30 = z / 34
z = 0.5 * 34
z = 17
We find x :
Sin 45 = 17 / x
x * sin45 = 17
x = 17 / sin 45
x = 24.04
Let y = y1 + y2
y1 = 17 / tan45
y1 = 17
y2 = 17/tan30
y2 = 29.44
y = 17 + 29.44
y = 46.44
Answer:
(x + 6)(x + 8)
Step-by-step explanation:
Consider the factors of the constant term (48 ) which sum to give the coefficient of the x- term (14 )
The factors are + 6 and + 8
since 6 × 8 = 48 and 6 + 8 = 14
x² + 14x + 48 = (x + 6)(x + 8) ← in factored form