The length of the hypotenuse is 3√3 units.
It is given that the length of the legs of a right triangle are 5 units and √2 units.
According to the Pythagoras theorem, in a right angled triangle
Substitute leg₁=5 and leg₂=√2 in the above formula.
Taking square root both the sides.
Therefore the length of the hypotenuse is 3√3 units.
Answer: c.the set of all integers, the set of all rational numbers, and the set of all real numbers
The given number is .
We know that and
Therefore, the value of does not belongs to the set of natural numbers since -3 does not belongs to it.
Since 3,-3 belongs to the set of integers.
Thus, the value of belongs to the set of integers the set of all rational numbers, and the set of all real numbers because the set of integers is contained in the set of rationals and the set of rational is contained in the set of real numbers.
Answer: The correct option is (A)
Step-by-step explanation: We are given the following two functions :
We are to find the value of
We know that
for any two functions p(x) and q(x), we have
Therefore, we get
Thus, option (A) is CORRECT.