Find the value of x. Round to the nearest tenth. 3 Х 4 x = [?]
1 answer:
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Given : Two inequality is given to us . The inequality is v + 8 ≤ -4 and v - 6 ≥ 10 .
To Find : To write those two inequality as a compound inequality with integers .
Solution: First inequality given to us is v + 8 ≤ -4 . So let's simplify it ;
⇒ v + 8 ≤ -4 .
⇒ v ≤ -4 - 8.
⇒ v ≤ -12 .
Now , on simplifying the second inequality ,
⇒ v - 6 ≥ 10 .
⇒ v ≥ 10 + 6.
⇒ v ≥ 16 .
Hence the required answer will be :
First one implies that v is less than or equal to -12 whereas the second one implies that v is greater than or equal to 16 .
Answer:
The angular velocity is 6.72 π radians per second
Step-by-step explanation:
The formula of the angular velocity is ω = , where v is the linear velocity and r is the radius of the circle
The unit of the angular velocity is radians per second
∵ The diameter of the tire is 25 inches
∵ The linear velocity is 15 miles per hour
- We must change the mile to inch and the hour to seconds
∵ 1 mile = 63360 inches
∵ 1 hour = 3600 second
∴ 15 miles/hour = 15 ×
∴ 15 miles/hour = 264 inches per second
Now let us find the angular velocity
∵ ω =
∵ v = 264 in./sec.
∵ d = 25 in.
- The radius is one-half the diameter
∴ r = × 25 = 12.5 in.
- Substitute the values of v and r in the formula above to find ω
∴ ω =
∴ ω = 21.12 rad./sec.
- Divide it by π to give the answer in terms of π
∴ ω = 6.72 π radians per second
The angular velocity is 6.72 π radians per second