Answer: The length of the arc is: L=4π/3 cm
Length of arc: L=?
<span>
L=r Θ
</span>
Central angle: Θ=<span>π/3
Radius: r=?
Area of the circle: A=</span><span>16π cm^2
A=</span>π r^2
Replacing A=16π cm2 in the equation above:
16π cm^2=π r^2
Solving for r: Dividing both sides of the formula by π:
(16π cm^2)/π=(π r^2)/π
16 cm^2=r^2
Square root both sides of the formula:
sqrt( 16 cm^2)=sqrt(r^2)
4 cm=r
r=4 cm
L=r Θ
L=(4 cm)π/3
L=4π/3 cm
The law of cosines is:
c² = a² + b² - 2abCos(C)
Therefore, in order to apply this law, we must know the value of two adjacent sides, represented by a and b here, and the value of their subtended angle, represented by C.
Answer:
k=2.5
Step-by-step explanation:
7.6/2 = 3.8
9.5/3.8 = 2.5
Answer:
The range is −5≤y≤−1 - 5 ≤ y ≤ - 1 .