Let x be he length of middle piece.
3x = length of longer piece.
x-5 = length of shortest piece.
x + 3x + x-5 = 40
5x - 5 = 40
5x = 45
x = 45/5
x = 9. ( Size of middle piece )
Given that the longer piece is 3 times the size of middle piece,
Longest piece = 3 x 9 = 27.
Size of longest piece = 27 feet
Size of middle piece = 9 feet
Size of smaller piece = 40 - (27+9)
= 40 - 36
= 4 feet.
Thank you.
Answer:
B). 32
Step-by-step explanation:
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By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
(Arc) QPT = (13.5) * (240) * ((2 * pi) / 360)
(Arc) QPT = 56.55 units
Answer:
(Arc) QPT = 56.55 units
