You are meeting with four other people. If each person shakes hands once with each other person, how many handshakes are given
1 answer:
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Answer:
6 cm
Step-by-step explanation:
Let the smaller square have side of x then the larger square has side 2x
Sum the areas of the 2 squares and equate to 45
x² + (2x)² = 45
x² + 4x² = 45
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = = 3
side of smaller square = 3 cm
side of larger square = 2 × 3 = 6 cm
check : 3² + 6² = 9 + 36 = 45 cm² ← correct
Answer:
The remainder would be 1 or 3
Step-by-step explanation:
Consider the 5 consecutive positive integers are,
x, x + 1, x + 2, x + 3, x + 4,
Since, the average of these 5 numbers =
= x + 2
If x + 2 = odd,
⇒ x = odd - 2 = odd - even = odd
⇒ x + 4 = odd + even = odd
∵ an odd number is represented by '2n + 1'
Where, n = 0, 1, 2, 3, ........
Now, 2n + 1 = 1( mod 4) if n = even
While, 2n + 1 = 3( mod 4) if n = odd,
Hence, when the largest of the five integers is divided by 4 remainder would be 1 or 3.