Answer:
Part 5) The length of the ski lift is 
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have
----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees
substitute
Applying the law of sines
substitute
Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees
-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees
-----> equation B
Equate equation A and equation B and solve for x
<u><em>Find the value of BC</em></u>
therefore
The height of the tree is 18.12 m
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>
Carl is incorrect. Dave ate a higher fraction of snack bars, by 0.2 snack bars.
Carl had .5 left of a snack bar.
Dave had .3 left of a snack bar.
Tony had .5 left of a snack bar.
Gary had .0 left of a snack bar.
Tryone had .7 left of a snack bar.
If we add the above snack bars, there is a total of two remaining snack bars, meaning they only ate 12 of 14 snack bars.
Answer:
1/2
Step-by-step explanation:
rise/run, it goes up one (1/) and then right 2 (1/2)
