9514 1404 393
Answer:
- 160 ft (out from the river)
- 320 ft (parallel to the river)
Step-by-step explanation:
Let x represent the length of fence parallel to the river. Then the dimension of perpendicular to the river will be half the remaining fence: (640-x)/2. The total area will be ...
A = x(640-x)/2
This is the equation of a parabola that opens downward. It has zeros at x=0 and x=640, so its axis of symmetry is x = (0+640)/2 = 320. That is, the peak of the area curve is found when x=320.
The dimensions of the garden with the largest area are 160 ft wide by 320 ft long, where the long side is the river side.
Answer: v ≥ 6
This means that Adrian needs to do at least 6 visits.
Step-by-step explanation:
First, we know that he gets 20 points just for signing up, so he starts with 20 points.
Now, if he makes v visits, knowing that he gets 2.5 points per visit, he will have a total of:
20 + 2.5*v
points.
And he needs to get at least 35 points, then the total number of points must be such that:
points ≥ 35
and we know that:
points = 20 + 2.5*v
then we have the inequality:
20 + 2.5*v ≥ 35
Now we can solve this for v, so we need to isolate v in one side of the equation:
2.5*v ≥ 35 - 20 = 15
2.5*v ≥ 15
v ≥ 15/2.5 = 6
v ≥ 6
So he needs to make at least 6 visits.
Answer: 8 centimeters
Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².
To solve for <em>r</em>, we first divide both sides of the equation by π.
On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².
So we have 64 = r².
Next, we take the square root of both sides to get 8 = r.
So the radius of our circle is 8 centimeters.
Answer:
27.78585
Step-by-step explanation:
