Let the n-th term be called 
We see that if we choose
then the other numbers follow the pattern 
(see :
)
Hence the sequence will be
We see that if we choose
Hence the sequence will be
A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
2 answers:
Answer:
Radius = 75 inches .
Step-by-step explanation:
Given : A circle has a central angle measuring 90° that intersects an arc of length 117.75 inches.
To find : what is the length of the radius of the circle.
Solution : We have given
Central angle = 90°
Arc of length = 117.75 inches.
Arc length = .
Plug the values
Theta = 90 , pi = 3.14 , arc length = 117.75 .
117 .75 = .
117 .75 =
On multiplying both sides 4
117.75 * 4 = 2 * 3.14 * radius .
471 = 6 .28 * radius .
On dividing both sides by 6.28
radius = .
Radius = 75 inches .
Therefore, Radius = 75 inches .
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W = P ( in case of potential energy height change)
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F = mg ( not just <m> as the force is mg (Newton) gravity effect)
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d = h
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</span>
Gravity : g
Mass : m
height : h
P = mgh = 3 x 9.8 x 0.45 = 13.23 Joule
Potential energy is work , from the known formula
W = Fd ( work = force x distance )
W = P ( in case of potential energy height change)
F is the force acting on the body in case of ideal ramp , the only force acting is the weight of the body
F = mg ( not just <m> as the force is mg (Newton) gravity effect)
d is the displacement in direction of force, as we have considered the force to be the weight not it's component in direction of the ramp , the change in displacement is the change in height so
d = h
W = Fd = (F = mg) x (d = h) = mgh
W = mgh = P
</span>