The volume is twice that of the cube of width, so the width of the original prism is
.. ∛(16 cm³/2) = 2 cm
Length = 4 cm
Width = 2 cm
Height = 2 cm
Answer:
Option (A).
Step-by-step explanation:
is a mixed fraction and can be written as,
[Combination of a whole number and a fraction]
When we multiply this mixed fraction by 7,
[Distributive property → a(b + c) = a×b + a×c]
Therefore, 
will be the answer.
Option (A) will be the correct option.
Answer: B
Step-by-step explanation:
∠a and ∠b are complementary angles. Complementary angles are two angles adjacent to each other that add up to 90°. We know this is true because of the 90° angle that is labelled.
Vertical angles are not adjacent to each other. They are across from each other, connected by the angle. They are equal in angles. It is clear that ∠a and ∠b are not equal in angles. Therefore, they are complementary angles.
Answer:
I think that what you are trying to show is: If 
is irrational and 
is rational, then 
is rational. If so, a proof can be as follows:
Step-by-step explanation:
Suppose that is a rational number. Then and can be written as follows
Hence we have that
Then
This is a contradiction because we assumed that is an irrational number.
Then must be an irrational number.
