Answer:
It's a positive 8.
Step-by-step explanation:
You can't have a negative amount of money.
If A, B and C are collinear, then
1) if B is between A and C:
AC = AB + BC
AC = 48 + 22 = 70
2) if C is between A and B:
AB = AC + BC
48 = AC + 22 |-22
AC = 26
3) if A is between B and C:
BC = AB + AC
22 = 48 + AC |-48
AC = - 26 < 0 FALSE
Answer:
if B is between A and C, then AC = 70
if C is between A and B, then AC = 26
Ok so this is a difference of 2 perfect squares
1=1^2
49c^2=(7c)^2
to factor you remember
a^2-b^2=(a+b)(a-b) so
1^2-(7c)^2=(1+7c)(1-7c)
Answer:
Radius =6.518 feet
Height = 26.074 feet
Step-by-step explanation:
The Volume of the Solid formed = Volume of the two Hemisphere + Volume of the Cylinder
Volume of a Hemisphere 
Volume of a Cylinder 
Therefore:
The Volume of the Solid formed
Area of the Hemisphere =
Curved Surface Area of the Cylinder =
Total Surface Area=
Cost of the Hemispherical Ends = 2 X Cost of the surface area of the sides.
Therefore total Cost, C
Recall: 
Therefore:
The minimum cost occurs at the point where the derivative equals zero.
![-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518](https://tex.z-dn.net/?f=-27840%2B32%5Cpi%20r%5E3%3D0%5C%5C27840%3D32%5Cpi%20r%5E3%5C%5Cr%5E3%3D27840%20%5Cdiv%2032%5Cpi%3D276.9296%5C%5Cr%3D%5Csqrt%5B3%5D%7B276.9296%7D%20%3D6.518)
Recall:
Therefore, the dimensions that will minimize the cost are:
Radius =6.518 feet
Height = 26.074 feet
97. The great wall is more than 20 000 kilometers long. And about ¾ of it is considered as properly preserved.
I guess you are asking about the value of ¾ which is properly preserved in the said length of the great wall.
=> ¾ = 0.75
Thus, the formula would be like this:
=> 20 000 * .75 = 15 000
Thus, the ¾ value of great wall that is preserved is equals to 15 000 kilometers long,
