Answer:
Step-by-step explanation:
=
=5.39(correct to nearest hundredth)
Answer: B. 3x
Step-by-step explanation:
Step-by-step explanation:
law of sine :
a/sinA = b/sinB = c/sinC
with the sides and correlating angles being always opposite to each other.
we are dealing with a right-angled triangle here.
the train track is the Hypotenuse (the side opposite of the 90° angle) : 1600 ft.
the horizontal level "connection" from beginning to the end of the track is one leg, and the elevation difference at the end of the track is the second leg.
the 2 legs enclose a 90° angle, as the elevation goes straight up from the horizontal level.
so, we have
1600/sin(90) = elevation difference / sin(1.6)
sin(90) = 1
1600 = elevation difference / sin(1.6)
elevation difference = 1600 × sin(1.6) =
= 1600 × 0.027921639... =
= 44.67462196... ft
≈ 44.7 ft
The first selection can be any one of the 8.
For each one ...
The second selection can be any one of the remaining 7.
For each one ...
The third selection can be any one of the remaining 6.
For each one ...
The fourth selection can be any one of the remaining 5.
Total number of ways to select four = (8 x 7 x 6 x 5) = 1,680 ways
BUT ... There are not 1,680 different groups of 4 .
Each group of 4 can be selected in (4 x 3 x 2) = 24 different ways.
So, although there are 1,680 different ways to select 4 singers,
there are only
(1,680 / 24) = 70 different groups of 4
that you can end up with.
Answer:
420
Step-by-step explanation:
35*24 1/2 base * height
