Answer:
V=75pi ft^3 or 235.619 ft^3
Step-by-step explanation:
area of base times length
area of circle = pi * r^2 where r = 1/2 * diameter
A = pi * 2.5^2
A= 6.25pi ft^2
multiply by length
V= 6.25pi*12
V=75 pi
Answer: 5y + 4x = - 10
Step-by-step explanation:
Two lines are said to be perpendicular if the product of their gradients = -1.
If the gradient of the first line is 
and the gradient of the second line is 
, if the lines are perpendicular, them
x = -1 , that is
= 
The equation of the line given is 5x - 4y = -3 , we need to write this equation in slope - intercept form in order to find the slope.
The equation in slope -intercept form is given as :
y =mx + c , where m is the slope and c is the y - intercept.
Writing the equation in this form , we have
5x - 4y = + 3
4y = 5x -+3
y = 5x/4 + 3/4
comparing with the equation y = mx + c , then = 5/4
Which means that = -4/5 and the line passes through the point ( -5 , 2 ).
Using the equation of line in slope - point form to find the equation of the line;
y - 
= m ( x - )
y - 2 = -4/5 ( x +5)
5(y - 2 ) = -4 ( x + 5 )
5y - 10 = -4x - 20
5y + 4x = - 10
Parallelogram so
CD = AB
18x - 5 = 15x + 4
3x = 9
x = 3
answer
x = 3
Answer:
1312.5 cubic feet
Step-by-step explanation:
Let the swimming pool be a rectangular prism
The volume of a rectangular prism is:
Volume = length * width * depth
Length = 25 (given)
Width = 15 (given)
The depth is 4ft, but they want the volume when water is 6 inches FROM THE TOP, that is, out of 4 feet, 6 inches (1/2 feet) IS NOT FILLED. So the depth of water is
4 - 1/2 = 3.5 feet
So, we can say
Depth = 3.5 (found)
Hence, the volume would be:
Volume = 25 * 15 * 3.5 = 1312.5 cubic feet
So far, this is shaping up to be a very interesting and engaging exercise. Now, what do you want done with the model ? To put it in other words, what is the question ? ? (Other than the fact that no real flight can fit this model.)
