The right answer is “The classroom has 5,180 seats “
Answer:
There are 77 more third graders than there are second graders.
Step-by-step explanation:
You just have to subtract 338 from 415 to get your answer.
Answer:
(- 5, 8 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 5)² + (y - 8)² = 1 ← is in standard form
with centre (h, k ) = (- 5, 8 )
It is around 400, if u see the world “of” is usually means multiply :)
Answer:
,
, ![y = 1250\,m](https://tex.z-dn.net/?f=y%20%3D%201250%5C%2Cm)
Step-by-step explanation:
The perimeter covered by the electric fence in meters is:
![2\cdot x + y = 2500](https://tex.z-dn.net/?f=2%5Ccdot%20x%20%2B%20y%20%3D%202500)
The area of the rectangle is:
![A = x\cdot y](https://tex.z-dn.net/?f=A%20%3D%20x%5Ccdot%20y)
![A = x \cdot (2500-2\cdot x)](https://tex.z-dn.net/?f=A%20%3D%20x%20%5Ccdot%20%282500-2%5Ccdot%20x%29)
Let differentiate the previous equation and equates to zero:
![2500-4\cdot x = 0](https://tex.z-dn.net/?f=2500-4%5Ccdot%20x%20%3D%200)
The critical point is:
![x = 625\,m](https://tex.z-dn.net/?f=x%20%3D%20625%5C%2Cm)
By the Second Derivative Text, it is proved that critical point lead to a maximum:
![\frac{d^{2}A}{dx^{2}} = -4](https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7DA%7D%7Bdx%5E%7B2%7D%7D%20%3D%20-4)
The other side of the rectangle is:
![y = 1250\,m](https://tex.z-dn.net/?f=y%20%3D%201250%5C%2Cm)
The largest area than can be enclosed is:
![A = (625\,m)\cdot (1250\,m)](https://tex.z-dn.net/?f=A%20%3D%20%28625%5C%2Cm%29%5Ccdot%20%281250%5C%2Cm%29)
![A = 781250\,m^{2}](https://tex.z-dn.net/?f=A%20%3D%20781250%5C%2Cm%5E%7B2%7D)
The dimensions of the triangle are:
![x = 625\,m](https://tex.z-dn.net/?f=x%20%3D%20625%5C%2Cm)
![y = 1250\,m](https://tex.z-dn.net/?f=y%20%3D%201250%5C%2Cm)