Answer:
Very last choice is the answer.
Step-by-step explanation:
Remark
The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.
Solution
- So what you have is a circle when that line goes around that part of the sphere.
- To find the length of that line, use the Pythagorean Theorem. Call the line r1.
- r1 ^2 = r^2 - h^2
- So the area is pi * r1^2
- Area = pi (r^2 - h^2)
- The very last one is the answer.
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Answer:
-9(2p+1)
Step-by-step explanation:
-18p - 9
find the GCF (greatest common factor) for the expression.
-9
then, divide each term by the GCF
-18p / -9 -9 / -9
= 2p = 1
next, put the two terms you get when dividing into the final form of the answer:
GCF on the outside and quotients on the inside
-9(2p+1)
hope this helped! ;)
I am assuming you want to solve for x:-
Now cosec^2 2x = 1 - cot^2 2x so the equation becomes
3 cosec^2(2x) + 2 cosec 2x = cosec^2 2x
2 cosec^2 2x + 2 cosec 2x = 0
2 cosec 2x ( cosec 2x + 1) = 0
so 2 cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 or cosec 2x = -1
cosec 2x = 0 is indeterminate so we ignore the first one
cosec 2x = -1 can be written as 1 / sin 2x = -1
so sin 2x = -1
giving 2x = 270 degrees
Therefore x = 135 degrees answer
Answer:
Side length =
cm , Height =
cm , Volume =
cm³
Step-by-step explanation:
Assume
Side length of base = x
Height of box = y
total material required to construct box = A ( given in question)
So it can be written as
A = x² + 4xy
4xy = A - x²

Volume of box = Area x height
V = x² ₓ y
V = x² ₓ (
)
V = 
To find max volume put V' = 0
So taking derivative equation becomes

A = 3 
= 
x = 
put value of x in equation 1
y =
y = 
y = 
So the volume will be
V =
× y
Put values of x and y from equation 2 & 3
V = 
V = 
Answer:
-1/2
Step-by-step explanation:
The slope of a perpendicular line is opposite reciprocal. So the opposite of 2 is -2, and the reciprocal of 2 is 1/2.