Answer:
46 units
Step-by-step explanation:
The diagonals of a rectangle intersect at their midpoints, indicating AE = EC. Therefore, set the equations equal and solve for x:
6x - 55 = 3x - 16
3x = 39
x = 13
Additionally, another characteristic of rectangle diagonals is their equal lengths, hence AC = DB. Now, let’s assess the length of AC:
AC = AE + EC = (6 * 13 - 55) + (3 * 13 - 16) = 23 + 23 = 46
Since AC = DB, it follows that DB = 46 units.
I hope this clarifies your question!
6%=5,300 12%=5,600 18%=5,900 That summarizes my full response based on the provided details.
Answer: a) 1791 seconds
b) 29701 seconds
Step-by-step breakdown:
1 US gallon = 0.134 cubic feet
It takes 20 seconds to fill a 2-gallon watering can with the garden hose. Converting 2 gallons into cubic feet results in
2 × 0.134 = 0.268 cubic feet
a) The inflatable pool has dimensions of 3 feet wide, 8 feet long, and 1 foot deep.
Volume = 3 × 8 × 1 = 24 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 24 cubic feet = (24 × 20)/0.268
= 1791 seconds
b) The formula for the volume of a cylinder is πr²h
Diameter = 13 feet
Radius = diameter/2 = 13/2 = 6.5
The circular pool's volume calculates to
3.14 × 6.5² × 3 = 397.995 cubic feet
If it takes 0.268 cubic feet = 20 seconds
Then 397.995 cubic feet = (397.995 × 20)/0.268
= 29701 seconds
The correct choice is A. I hope this assists you.
The set encompasses 256 subsets. Step-by-step explanation: The elements in the set [a,b,c,d,e,f,h,i] total to 8. The total number of subsets is obtained using the formula
, where n signifies count of elements.
