Answer:
2.25 radians
Step-by-step explanation:
First we need to find the length of the circunference, using the formula:
C = 2 * pi * r
Where r is the radius. Using r = 8, we have:
C = 2 * pi * 8 = 50.2655 cm
Now, to find the measure of the central angle related to that arc of 18 cm, we can use a rule of three, knowing that the whole circunference has a central angle of 2pi radians:
2pi rad -> 50.2655 cm
x -> 18 cm
x = 18 * 2pi / 50.2655
x = 2.25 rad
If it decreases at 4% every year, then its value becomes:
100% - 4% = 96% = 96/100 = 0.96
At the end of the 1 year its value becomes: 150*(0.96)
At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²
At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³
So similarly at the end of 12 years, its value becomes 150*(0.96)¹²
=50*(0.96)¹² simplify with calculator.
<span>≈ 91.91
Value at the end of 12 years becomes ≈ $</span><span>91.91
I hope this helps.
</span>
Answer:
131.41 degrees
Step-by-step explanation:
Given the equation
5(sinθ+3) = sinθ+12
5sinθ+15 = sinθ+12
5sinθ-sinθ = 12 - 15
4sinθ = -3
sinθ = -3/4
θ = arcsin(-0.75)
θ = -48.59 degrees
Since sin is negative in the 3rd quadrant
α = 180 + θ
α = 180 - 48.59
α = 131.41degrees
Hence the required angle is 131.41 degrees
The answer is true, false, true, and false
