Hyp^2 = leg1^2 + leg2^2
hyp^2 -leg1^2 = leg2^2
17^2 - 8^2 = leg2^2
leg2^2 = 289 -64
leg2^2 = 225
leg2 = 15
Answer:
f(x) and g(x) are closed under multiplication because when multiplied, the result will be a polynomial.
Step-by-step explanation:
The set of all polynomials is <em>closed</em> under addition, subtraction, and <em>multiplication</em>, because performing any of these operations on a pair of polynomials will give a polynomial result.
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<em>Comment on the question</em>
The wording is a bit strange, because f(x) and g(x) are elements of a set (of polynomials), so cannot be said to be "closed." "Closed" is a property of a set with respect to some function, it is not a property of an element of the set.
Answer:
Step-by-step explanation:
The Law of Sines is
Filling in what we are given:
Cross multiply to get
and divide to solve for side c:
which gives you that
c = 8.45
We know that angle B has to be the difference between 180 and angle A and angle C, so
angle B = 51
Now we can solve for side b:
and
and
b = 21.03
We will need to find the perimeter here, since in this context we’re talking about fencing around a rectangular pool. The formula for perimeter is P = 2L + 2W. The L and W can stand for length/width which is the same as wide/long in this problem. I will now plug in the numbers. P = 2(38) + 2(20) which gives us 76 + 40. 76 + 40 is 116. Therefore, the perimeter is 116 ft.
I know that the fencing company charges $22 per foot. I can multiply 116 x 22 to give me $2552. The answer is $2552.