Area of 3/4 circle = 3/4 x π x r²
= 3/4 x 22/7 x 6²
= 84.86cm²
That should be the correct answer
Hope this helps!!
Answer:
Option 3 ⇒ 210.08 rpm
Step-by-step explanation:
The relation between the angular velocity ω and the linear velocity v is v=ωr
Where r is the radius of the tire.
Given that a diameter of 24 inches. If he rides at 15 miles per hour.
∴ r = diameter/2 = 24/2 = 12 in.
And v = 15 miles/hour
Converting the speed to inches per minutes where mile = 63,360 inches and hour = 60 minuted
∴ v = 15 * 63,360/60 = 15,840 inches/minute
∴ ω = v/r = 15,840/12 = 1,320 rad/minute
Converting ω from rad per minutes to revolutions per minute
Where 1 revolution = 2π
∴ ω = 1,320 / (2π) = 210.08 rpm
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6x + 7 = 8x - 17
6x- 8x = -17 - 7
-2x = -24 • divide both sides by -2
Thefore x = 12