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:
-15/6
Step-by-step explanation:
If you look at the first number in each point, the x coordinate, you see the 2nd point is 6 forward from the 1st point. Now the 2nd number is the y coordinate, and you can see it goes down 15 from the 1st coordinate. So y/x is the slope.
5x + 3y = - 53
the equation of a line in ' slope- intercept form ' is y = mx + c
where m is the slope and c the y-intercept
rearrange 3x - 5y = - 15 into this form to obtain m → (subtract 3x from both sides)
- 5y = - 3x - 15 → divide all terms by - 5 )
y = 
x + 3 → in slope-intercept form with m =
given a line with slope m then the slope m₁ of a line perpendicular to it is
m₁ = - 
= - 1 ÷ = - 
partial equation is y = - x + c
to find c substitute ( - 7, - 6) into the partial equation
- 6 = 
+ c ⇒ c = - 6 - = - 
y = - x - → in slope intercept form
multiply all terms by 3
3y = - 5x - 53 → ( add 5x to both sides )
5x + 3y = - 53 → in standard form
Answer:
x1= - 8/3 , x2= 8/3
Step-by-step explanation:
Answer:
Amy would have 2.15 left
Step-by-step explanation:
To find out how much she has left, subtract the cost of the items from 10.
10 - 0.75 - 5.50 - 1.60 = 2.15
