The triangular sail on Esther's sailboat measures 10.5 feet, 14 feet and 17.5 feet on its three
1 answer:
Answer:
The sail is a right triangle.
Step-by-step explanation:
We are given the following in the question.
Measure of triangular sales are:
10.5 feet, 14 feet and 17.5 feet
We have to check whether it is a right angled triangle or not.
Pythagoras theorem:
According to this theorem the sum of of squares of two sides of triangle is equal to the square of hypotenuse of triangle. The hypotenuse is the longest side of the triangle.
Verifying:
Thus, the measurement of sail follows the Pythagoras theorem.
Hence, the sail is a right triangle.
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Answer:
Only function (a) is one-to-one.
Step-by-step explanation:
If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.
The elements of a function are
A = {a,b,c,d}
We need to check whether is one to one or not.
(a)
f (a) = b, f (b) = a, f (c) = c, f (d) = d
Here, for each value of x, there exist exactly one value of y.
Therefore, this function is one-to-one.
(b)
f (a) = b, f (b) = b, f (c) = d, f (d) = c
Here, the value of function is b for x=a and x=b. For two domains the functions has same range.
Therefore, this function is not one-to-one.
(c)
f (a) = d, f (b) = b, f (c) = c, f (d) = d
Here, the value of function is d for x=a and x=d. For two domains the functions has same range.
Therefore, this function is not one-to-one.