Answer:
C
Step-by-step explanation:
Calculate the values of both r and s, that is
= 7 ( multiply both sides by 2 )
5 + r = 14 ( subtract 5 from both sides )
r = 9
and
= 3 ( multiply both sides by 2 )
3 + s = 6 ( subtract 3 from both sides )
s = 3
Hence
= 
= 6 → C
Smallest 1/4 5/12 1/2 2/3 3/4 biggest
Law of sines can be used to solve this problem:
(note - let x represent the missing side length.)
1. set up proportion.
sin 90°/25 = sin 55<span>°/x
2. solve.
(x) sin 90</span>° = (25) sin 55<span>°
(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5
The probability of getting the correct order in the spelling bee is 1 chance in 362,880.
This is a permutation problem. Our goals is to find the total number of ways that the 9 students can be ordered.
For the first spot there are 9 choices, then 8 choices, then 7 choices....
We need to evaluate:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880
Another way to write this is: 9!
Hello,
Answer D: 4.30 in
The circomference is 27 in=2*π*R
==>R=27/(2π)=4.291834... ≈4.30 (in)
