Answer: The surface area of the planter will be 120.5 square feet.
Step-by-step explanation: in our shape, we will have 5 sides. The base and the four sides going up from each edge of the base.
The base will be 7 x 5 = 35 square feet.
The front and back side will each be 7 x 0.75 = 5.25 square feet.
The left and right side will each be 5 x 0.75 = 3.75 square feet.
If we add up the 5 faces we get:
35 + 5.25 + 5.25 + 3.75 + 3.75 = 120.5 square feet
For the first drain the equation you need would be: 2n = 108
for drain B your equation would be: 5n = 108
these are your equations because a number times the amount of water the drain drains per minute will equal 108
to solve use inverse operations and divide 108 by the amount of water the drain drains in one minutes
Drain A- 108/2 = 54
it takes 54 minutes for drain a to empty a pool with 108 gallons of water
Drain B- 108/5 = 21.6
it takes 21.6 minutes for drain b to empty a pool with 108 gallons of water in it<span />
Answer:
4 feet
Step-by-step explanation:
Since the whispering gallery is 15 feet high and 60 feet wide, it forms an ellipse with major axis along the width of the gallery and minor axis along the height of the gallery.
Using the equation of an ellipse with major axis along the x-axis, we have
x²/a² + y²/b² = 1 where a = midpoint of the width = 60/2 = 30 feet and b = 15 feet.
c² = a² - b² where c = focus of the ellipse.
So, c² = a² - b²
= 30² - 15²
= 900 - 225
= 675
c = ±√675 = ±25.98 feet
So, the coordinate of the focus is thus (0, ±c) = (0, ±25.98) and the coordinate of the vertex is (0, ±a) = (0, ±30)
So, the distance between the foci and the vertex is the distance from the wall at which each of them should be positioned at the foci.
So, d = a - c
= 30 ft - 25.98 ft
= 4.02 feet
≅ 4 feet
