The circumference of pool is 25.12 feet
<em><u>Solution:</u></em>
Given that round wading pool at the Greenville Community Center has a diameter of 8 feet
Therefore,
Diameter = 8 feet
We know that,
![Radius = \frac{diameter}{2}\\\\Radius = \frac{8}{2}\\\\Radius = 4](https://tex.z-dn.net/?f=Radius%20%3D%20%5Cfrac%7Bdiameter%7D%7B2%7D%5C%5C%5C%5CRadius%20%3D%20%5Cfrac%7B8%7D%7B2%7D%5C%5C%5C%5CRadius%20%3D%204)
Thus radius is 4 feet
<em><u>The circumference of circle is given by formula:</u></em>
![C = 2 \pi r](https://tex.z-dn.net/?f=C%20%3D%202%20%5Cpi%20r)
Where, "r" is the radius of circle
Substitute r = 4
![C = 2 \times 3.14 \times 4\\\\C = 25.12](https://tex.z-dn.net/?f=C%20%3D%202%20%5Ctimes%203.14%20%5Ctimes%204%5C%5C%5C%5CC%20%3D%2025.12)
Thus circumference of pool is 25.12 feet
Distribute 2/3 to the parentheses on the left side, combine like terms. 1 1/3 x= -2 2/3. Final answer is -2
Answer:
The rock will take about 4.5 seconds to reach the river
Step-by-step explanation:
* lets study the situation of the rock
- The rock is dropped means the initial velocity is zero
- The motion is free fall under earth gravity
- The rock dropped from a bridge 320 feet above the river
- The equation of the pathway is h = -16t² + 320
- When the rock reach to the ground the height will be zero
* Now lets substitute h by zero in the equation to find t
∵ h = -16t² + 320
∵ h = 0
∴ 0 = -16t² + 320 ⇒ add 16t² to both sides
∴ 16t² = 320 ⇒ divide both sides by 16
∴ t² = 320/16 = 20
∴ t² = 20 ⇒ take √ for both sides
∴ t = √20 = 2√5 ≅ 4.5 seconds
* The rock will take about 4.5 seconds to reach the river
Answer:
37 miles per hour
Step-by-step explanation:
To find the average rate (average speed) of Latoya in miles per hour, you would divide the distance traveled (in miles) by the time taken to travel (in hours).
So we know that Latoya traveled 8 miles in 13 minutes. We cannot divide 8 by 13, because 13 is in minutes, not hours. We must convert 13 minutes to hours before dividing.
There are 60 minutes in one hour, so to covert minutes into hours, we would divide the minutes (13) by 60. Doing this would give you 13/60. You cannot simplify the fraction 13/60, because 13 is a prime number. It would be best to just leave it as it is for now. So Latoya traveled for 13/60 hours.
Now, to find her average rate in miles per hour, you divide the distance traveled in miles (8 miles) by the time it took to travel in hours (13/60):
8 ÷ 13/60
Remember, a ÷ b/c = a × c/b. Using this:
8 ÷ 13/60 = 8 × 60/13 = 480/13 ≈ 37 rounded to the nearest whole number.
Latoya had an average rate of about 37 miles per hour.
I hope this helps. :)