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
Answer:
d = 15.8 m
Step-by-step explanation:
Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is
d = √(9² + 13²) = √250 = √25·√10 = 5√10
To the nearest tenth, this comes to d = 15.8 m
Answer:Add 44 liters blue
Step-by-step explanation:Mary has 20 liters of paint mixed white:blue in the ratio 2:3. So two fifths of that paint is white and three fifths is blue. So that's 8 liters white, 12 liters blue.
We want to add paint to get white:blue = 1:7. Clearly we need to add blue. We have our 8 liters of white, so we need a total of 7(8)=56 liters of blue. We already have 12, so we have to add 56-12=44 liters of blue paint:
Answer:
0, 6
Step-by-step explanation:
Answer:
14/18 =0.7778
Step-by-step explanation:
14/18 =0.7777.........=0.7778 rounded to the nearest thousandth
