Answer:
see explanation
Step-by-step explanation:
Given
x + y + z = π
let
x = A , y = B , z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
= - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
To get the equivalent fractions, you simply have to multiply
the fraction with another fraction that would equal to 1.
2/8 x 2/2 (this is equal to 1) = 4/16; 1/4
3/8 x 2/2 = 6/16; 9/24
4/8 x 2/2 = 8/16; 1/2
Answer:
There are total 5 layers.
Step-by-step explanation:
A multi-layer cake is in the shape of a right cylinder.
Height of the cake is = 20 cm
Radius is = 10 cm
Each of the cake layers has a volume of approximately 1,250 cm³.
Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.
Volume of the cylinder is given as:
h = 3.98 or approximately height of 1 layer is 4 cm.
As the cake's height is 20 cm so, there are 
layers in the cake.
Answer: There are 5 layers in the cake.
Answer: 8
Reason: Mode means most frequently used number
