<h2>52</h2>
Step-by-step explanation:
Let the number of fruit trees planted additionally be ![n](https://tex.z-dn.net/?f=n)
Initially it is given that there are
trees.
Number of trees after planting
additional trees is ![n+20](https://tex.z-dn.net/?f=n%2B20)
Let the yield due to each tree after planting
additional trees be ![y](https://tex.z-dn.net/?f=y)
Initially it is given that ![y=252](https://tex.z-dn.net/?f=y%3D252)
Yield due to each tree after planting
trees is ![y=252-(3\times n)](https://tex.z-dn.net/?f=y%3D252-%283%5Ctimes%20n%29)
![\text{total yield}=\text{yield for each tree}\times\text{total number of trees}](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20yield%7D%3D%5Ctext%7Byield%20for%20each%20tree%7D%5Ctimes%5Ctext%7Btotal%20number%20of%20trees%7D)
![\text{total yield}=(252-3n)(20+n)](https://tex.z-dn.net/?f=%5Ctext%7Btotal%20yield%7D%3D%28252-3n%29%2820%2Bn%29)
=![252\times 20-192n-3n^{2}](https://tex.z-dn.net/?f=252%5Ctimes%2020-192n-3n%5E%7B2%7D)
To maximise yield,we take that value of
for which ![\frac{d\text{total yield}}{dn}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5Ctext%7Btotal%20yield%7D%7D%7Bdn%7D)
![=0](https://tex.z-dn.net/?f=%3D0)
=![192-6n](https://tex.z-dn.net/?f=192-6n)
So,
and ![n=32](https://tex.z-dn.net/?f=n%3D32)
So,32 additional trees has to be planted to maximise yield.
So,there should be 52 trees in total
Answer:
△ABC is first reflected across the line y=x, then reflected across the x-axis. Since the transformations are rigid, △ABC ≅ △A''B''C''.
Step-by-step explanation:
Comparing △ABC and △A'B'C', we see that the x- and y-coordinates have been switched. This describes a reflection across the line y=x.
Comparing △A'B'C' and △A''B''C'', we see that the y-coordinates have been negated. This describes a reflection across the x-axis.
Reflections are called rigid transformations. This is because they preserve congruence and shape. Since congruence is preserved, △ABC ≅ △A''B''C''.
We have that
poster---------------- > 28 in X 32 in
1 in-------------------------------- >0.0833333 ft
28 in------------ > 28*.0833333=2.33 ft
32 in------------ > 32*.0833333=2.67 ft
Let
D---------------- >distance from the ceiling to the top of the poster
D=(9- <span>5 1/2 -2.67/2)=(9-5.5-1.335)=2.165 ft
the answer is 2.165 ft
</span>
Answer:
Two or more points are collinear, if there is one line, that connects all of them.
Step-by-step explanation:
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