Answer:
PR=8
ST=5
Step-by-step explanation:
2x=8
x=4
PR=2x=8
5z=2z+3
3z=3
z=1
ST=5z=5
Answer:
0.5kg per foot
Step-by-step explanation:
1/3 : 2/3
1 : 2
1 kg is 2 feet
0.5 kg/foot
55 miles per hour, to answer questions like these you need to calculate the time (T=D/R) for each individual portion of the trip, add the time together to get total time, and then divide the total distance by the total time in order to get the average velocity in mph.
Hello there! the winning time is 59.625 seconds.
This is the person who completed the lowest amount of time, meaning they finished first. The others too longer so they finished later, meaning they didn't win.
I hope this was helpful and have a great day! :)
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :

where;
a = 12; b = -144 and c = 299






Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.