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Answer:
The correct answer is:
A. 27,465 +52,534 = 79,899
Step-by-step explanation:
Given are the options for addition
We have to check each addition one by one
So,
A. 27,465 +52,534 = 79,899
This option is the example of error of addition by one. The answer should have been 79,999. Hence there is an error in addition ..
Hence, option a: 27,465 +52,534 = 79,899 is the correct answer ..
Answer:
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?
Width =
Height =
Width =√10 and Height 
Step-by-step explanation:
Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)
are (h,k) and (-h,k).
Hence, the area of the rectangle will be (h + h) × k
Therefore, A = h²k ..... (2).
Now, from equation (1) we can write k = 5 - h² ....... (3)
So, from equation (2), we can write
![A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}](https://tex.z-dn.net/?f=A%20%3Dh%5E%7B2%7D%20%5B5-h%5E%7B2%7D%20%5D%3D5h%5E%7B2%7D%20-h%5E%7B4%7D)
For, A to be greatest ,

⇒ ![h[10-4h^{2} ]=0](https://tex.z-dn.net/?f=h%5B10-4h%5E%7B2%7D%20%5D%3D0)
⇒ 
⇒ 
Therefore, from equation (3), k = 5 - h²
⇒ 
Hence,
Width = 2h =√10 and
Height = 
X - 1/2 because difference is subtraction
Answer:

Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the volume of the sphere with V2
So, from the first statement: we have:

and

To solve for
, we simply substitute
for
in 




Hence, the volume of the sphere is 