Answer
A. XY and ST
B. VU and TW
D.TX and WX
Step-by-step explanation:
The question is on volume of a hexagonal right pyramid
The formula for volume of hexagonal right pyramid is

where a is the base length and h is the height of the pyramid.
So to get the volume, you need to find the base area then multiply it by the height.
Let observe the lengths that can help you in calculating the volume.
Length XY is important because it is a base length
Length st is important because it is the height of the pyramid
Length VU/YZ is important because it is a base length
Length TW/TX is important because it could help you determine the slant height and if the apothem length is given, you can determine the height TS
Length XW is important because it is a base length
Length XS is not important because it is not the apothem length.Apothem length is a perpendicular bisector of the base length originating from the center of the pyramid
Therefore the correct pairs of lengths are ;
A. XY and ST
B. VU and TW
D.TX and WX
Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
They are length and width. the only thing is that they do not have volume
6- neither of the treatments helped dispel the green lime.
7-control group- water
8-independent variable- coconut juice
9-dependent variable- green slime
10- homers conclusion would be that neither coconut juice nor water would treat the green slime that had been in his shower.