Answer:
The answer to your question is 1/8
Step-by-step explanation:
Data
Total volume = 1 gallon
Water drank by the hiker = 1/2
Water drank by each of his friends = ?
Process
1.- Calculate the water that he gave to his friends
Water gave to his friends = 1 - 1/2
= 1/2
2.- Calculate the amount of water each friend received.
1/2 ÷ 4 = 1/8
3.- Conclusion
Each of the friends received 1/8 of the gallon.
We need to get the limits first. When y = 0
0 = 64x - 8x^2
x = 0 and x = 8
The volume is
V = ∫ y dx from 0 to 8
V = ∫ (64x - 8x^2) dx from 0 to 8
V = 32x^2 - 8x^3/3 from 0 to 8
V = 682.67<span />
Answer:
hold on i'm abt to answer it
Step-by-step explanation:
Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
If you want the height of the crate it's volume / base area = 48/16 = 3 feet.
