Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
The number of goldfish in the pet store is equal to 60 fishes.
<u>Given the following data:</u>
- Total number of fishes = 150 fishes.
To calculate the number of goldfish that the pet store have:
<h3>What is ratio?</h3>
Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.
Mathematically, the number of goldfish in the pet store is given by this expression:

G = 60 fishes.
Read more on ratio here: brainly.com/question/13513438
<h3>
Answer: Check out the diagram below.</h3>
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
2(x - 2) = -4x + 44
First, expand. / Your problem should look like:
Second, add 4 to both sides. / Your problem should look like:
Third, simplify -4x + 44 + 4 to get -4x + 48. / Your problem should look like:
Fourth, add 4x to both sides. / Your problem should look like:
Fifth, add 2x + 4x to get 6x. / Your problem should look like:
Sixth, divide both sides by 6. / Your problem should look like:
Seventh, simplify

to 8. / Your problem should look like:

Answer:
x = 8
Answer:
About 11.299 hours.
Step-by-step explanation:
To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.


Taking the log x of both sides, you get

hours. Hope this helps!