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1 answer:
Answer:
Total distance covered by the maintenance worker = 9189.16 feet
Step-by-step explanation:
An amusement park has a diameter = 975 feet
Radius of the park =
r =
r = 487.5 feet
Since a maintenance worker walks around the park three times, that means he covers the circumference of the circle thrice.
Circumference = 2πr
C = 2π(487.5)
C = 975π feet
He covers this distance thrice,
So total distance covered by him = 3 × (975π)
= 2925π
= 9189.16 feet
Therefore, he walks 9189.16 feet per day.
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Answer:
Given : BRDG is a kite that is inscribed in a circle,
With BR = RD and BG = DG
To prove : RG is a diameter
Proof:
Since, RG is the major diagonal of the kite BRDG,
By the property of kite,
∠ RBG = ∠ RDG
Also, BRDG is a cyclic quadrilateral,
Therefore, By the property of cyclic quadrilateral,
∠ RBG + ∠ RDG = 180°
⇒ ∠ RBG + ∠ RBG = 180°
⇒ 2∠ RBG = 180°
⇒ ∠ RBG = 90°
⇒ ∠ RDG = 90°
Since, Angle subtended by a diameter or semicircle on any point of circle is right angle.
⇒ RG is the diameter of the circle.
Hence, proved.
The sequence is incrementing by
Therefore, the sixth number is
Which is 64.
Therefore, the sixth number is
Which is 64.