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
Answer: 14x^5 + 17x^4 - 87x^3 + 60x^2 + 15x - 18
Step-by-step explanation: You would need to simplify the expression by using distributive property.
To solve this, I would just find what two adult tickets and one child ticket wold be worth.
To find that, just do:
5.20 + 9.90 * 2, which makes 25.
So now you just find how many 25s are in 900, or 36.
So 36 children's tickets were sold that day.
Hope I helped :)
Answer:
24 to 34? = 41.67%.
Step-by-step explanation:
<em>To convert decimal number 1</em><em>2</em><em>3</em><em> to quinary, follow these steps:</em>
<em>1</em><em>.</em><em> </em><em>Divide 1</em><em>2</em><em>3</em><em> </em><em>by 5 keeping notice of the quotient and the remainder.</em>
<em>2</em><em>.</em><em>Continue dividing the quotient by 5 until you get a quotient of zero.</em>
<em>3</em><em>.</em><em> </em><em>Then just write out the remainders in the reverse order to get quinary equivalent of decimal number 1</em><em>2</em><em>3</em><em>.</em>