How many squares would have to be shaded so that 1/6 of the shape is shaded?
1 answer:
Answer:
3 squares
Step-by-step explanation:
The question given is not complete, the diagram of the shape is supposed to be attached. But I would provide you with a diagram and show you how to solve this type of problem.
The diagram of the shape is attached below. Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).
Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares
Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded
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Option C:
The coefficient of is 40.
Solution:
Given expression:
Using binomial theorem:
Here
Substitute in the binomial formula, we get
Now to expand the summation, substitute i = 0, 1, 2, 3, 4 and 5.
Let us solve the term one by one.
Substitute these into the above expansion.
The coefficient of is 40.
Option C is the correct answer.