Answer:
Exact Form:
3√10
Decimal Form:
9.48683298
Step-by-step explanation:
Perimeter of a rectangle:
P = 2(l + w)
Plug in what we know:
P = 2(16 + 7)
Add:
P = 2(23)
Multiply:
P = 46
Now find the perimeter of the semi-circle.
Perimeter of a circle:
P = pi * d
Plug in what we know:
P = 3.14 * 16
Multiply:
P = 50.24
Divide by 2 since it's a semi-circle:
50.24 / 2 = 25.12
Add the two perimeters:
46 + 25.12 = 71.12
Find the volume of the cylinder, then the volume of the empty space. Finally, we subtract these.
V = pi * r^2 * h
V = 3.14 * 3^2 * 12
V = 339.12
So the volume of the bottle of lotion is 339.12.
V = pi * r^2 * h
V = 3.14 * 0.5^2 * 12
V = 9.42
So the volume of the empty space in the bottle of lotion is 9.42.
Subtract these:
339.12 - 9.42 = 329.7
Answer:
No, n is not parallel to m as the slopes are not equal;
Yes, m is perpendicular to k as slopes are negative reciprocals.