I believe it is 72 because there is a right angle so thats 90 the known angle is 18 so thats 18-90-18=72
We Know that
For a function to have an inverse function, it must be one-to-one—that
is, it must pass the Horizontal Line Test.
1. On the interval [–pi/2, pi/2], the function
y = sin x is
increasing
2. On the interval [–pi/2, pi/2], y = sin x takes on its full
range of values, [–1, 1]
3. On the interval [–pi/2, pi/2], y = sin x is
one-to-one
sin x has an inverse function
on this interval [–pi/2, pi/2]
On the restricted domain [–pi/2, pi/2] y = sin x has a
unique inverse function called the inverse sine function. <span>f(x) = sin−1(x)
</span>the range of y=sin x in the domain [–pi/2, pi/2] is [-1,1]
the range of y=sin-1 x in the domain [-1,1] is [–pi/2, pi/2]
1. On the interval [0, pi], the function y = cos x is decreasing
2. On the interval [0, pi], y = cos x takes on its full range of values, [–1, 1]
3. On the interval [0, pi], y = cos x is one-to-one
cos x has an inverse function on this interval [0, pi]
On the restricted domain [0, pi] y = cos x has a unique inverse function called the inverse sine function. f(x) = cos−1(x)
the range of y=cos x in the domain [0, pi] is [-1,1]
the range of y=cos-1 x in the domain [-1,1] is [0, pi]
the answer is
<span>the values of the range are different because the domain in which the inverse function exists are different</span>
Answer:
Large furniture = 110 and Small furniture = 40
Step-by-step explanation:
Let, the number of pieces of large furniture = x and the number of small furniture = y.
As, it is given that Alex makes 150 pieces of the furniture.
We get the relation x + y = 150.
Moreover, the cost to make large furniture is $500 and the cost to make small furniture is $300.
Since, they have $57,000 as the total amount.
Thus, we get, 500x + 300y = 57000 i.e. 5x + 3y = 570.
Hence, we get the system of equations as,
5x + 3y = 570
x + y = 150
Now, we will solve these equations.
As, x + y = 150 ⇒ x = 150 - y
So, 5x + 3y = 570 ⇒ 5(150-y) + 3y = 570 ⇒ 650 - 5y + 3y = 570 ⇒ -2y = -80 ⇒ y = 40
Thus, x = 150 - 40 = 110 ⇒ x = 110
Hence, the number of large furniture can be made is 110 and the number of small furniture can be made is 40.
We need to compare the slopes....
CS
(1,12)(5,4)
slope = (4 - 12) / (5 - 1) = -8/4 = -2...so the slope of CS is - 2
KP
(1,9)(6,-6)
slope = (-6 - 9) / (6 - 1) = - 15/5 = -3...so the slope is -3
if the slopes would have been the same, it would be parallel because parallel lines have the same slope. if the slopes would have had negative reciprocal slopes, then it would be perpendicular. But since the slopes are neither of those...ur answer is neither.
