From my research, the image attached supports the problem. Since only the outer curve is to be solved for, the formula for arcs can be used.
s = theta*radius
where s = arc length = outer curve
theta = 70 (pi/180)
radius = 70
s = 70 * (70*pi/180)
s = 85.52 feet
Therefore, the outer curve is 85.52 feet long
Answer:

Step-by-step explanation:
The volume V of the fountain is equal to:
V = L*W*h
Where L is the lenght of the fountain, W is the width of the fountain and h is the high of the fountain
We already know that h is equal to x. On the other hand, if we cut a square with side of length x, L and W are calculated as:
L = 18 - 2x
W = 12 - 2x
So, replacing L, W and h on the equation of the volume, we get:
V = (18-2x)*(12-2x)*x
Finally, simplifying the function we get:


Given
One month julia collected 8.4 gallons of rainwater.
she used 5.2 gallons of rainwater to water her garden
6.5 gallons of rainwater to water flowers
Find out how much was the supply of rainwater increased or decreased by the end of the month.
To proof
As given in the question
One month julia collected 8.4 gallons of rainwater
she used 5.2 gallons of rainwater to water her garden and 6.5 gallons of rainwater to water flowers
Total water she used in the month = 5.2 gallons + 6.5gallons
= 11.7 gallons
Let the supply of rainwater increased or decreased by the end of the month
be x .
Than the equation become in the form
x + 8.4 = 11.7
x = 3.3 gallons
Therefore the supply of rainwater increased or decreased by the end of the month is 3.3 gallons.
Hence proved
Answer:
C
Step-by-step explanation:
Obviously this a log function. What you have to know about the parent graph of a log function is that it goes through the origin (0, 0). Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units. The parent graph for the log function in standard form is
f(x) = log(x - h) + k.
where h indicates the side to side movement, and k represents the up and down movement. In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1). Because our function has moved up 3 units, our k is a positive 3. So the translation of the parent graph to what we see is
g(x) = log(x + 1) + 3, choice C