The vertex is the highest point on a downward-opening parabola or the lowest point on an upward-opening parabola.
The solution would be like this for this specific problem:
Volume of a cylinder = pi * r^2 * h
Volume of a cone = 1/3 * pi * r^2 * h
Total Height = 47
Height of the cone = 12
Height of the cylinder = 35
If the top half is filled with sand, then:
volume (sand) = pi * 4^2 * 36
volume (cone) = 1/3 * pi * 4^2 * 12
Total volume = 1960.353816 cubic millimeters
353816 / (10 * pi) = 62.4 seconds.
It will take 62.4 seconds until all of the sand has dripped to the bottom of the hourglass.
Answer:
Joey has 18 nickles and 27 dimes in his piggy bank.
Step-by-step explanation:
1 nickle = 5 cents
1 dime = 10 cents
$1 = 100 cents
$3.15 = 135 cents
Let
n represent the number of nickles, n>=0
d represent the number of dimes, d>=0
Joey counted a total of 45 coins that added up to $3.15:
n + d = 45
5n + 10d = 315
n = 18 nickles
d = 27 dimes
<span>3<span>x^2</span></span>−<span>16 I think that's the answer. Hope that helps!</span>
