Answer:
3.1415926535 8979323846 2643383279 50288419716939937510 5820974944 5923078164 06286208998628034825 3421170679 8214808651 32823066470938446095 5058223172 5359408128 48111745028410270193 8521105559 6446229489 54930381964428810975 6659334461 2847564823 37867831652712019091 4564856692 3460348610 4543266482.
Step-by-step explanation:
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This question has this set of answer choices:
a) when the plane cuts three faces of the cube, separating one corner from the others
b) when the plane passes through a pair of vertices that do not share a common face
c) when the plane is perpendicular to the base and intersects two adjacent vertical faces
d) when the plane makes an acute angle to the base and intersects three vertical faces
e) not enough information to answer the question
The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others
You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.
Answer:
≈ 15.08 units²
Step-by-step explanation:
The area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² ×
( r is the radius )
= π × 6² × 
= 36π ×
= π ×
=
≈ 15.08
I don't see the steps, but the steps that I use are:
1. Multiply the denominator by the whole number
2. Then you add the numerator to your sum.
3. The number that you just got by doing those steps is now going to be your numerator and your old denominator is going to stay your denominator.
Example:
2 2/3
3*2=6
6+2=8
8/3 is your new answer.