Hello!
In our triangle, c is the hypotenuse. We are given an adjacent side length to our angle. This means we will use the cosine. Let's find it first.
cos54≈0.59
This gives us the equation below.
0.59=9/c
0.59c=9
c≈15.25
Therefore, c is equal to about 15.25
I hope this helps!
The total number of ways the study can be selected is: 637065
Given,
Total number of women in a group= 13
Total number of men in a group = 12
Number of women chosen = 8
Number of men chosen = 8
∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.
This in the form of combination factor = nCr
∴ nCr = n!/(n₋r)! r!
13C₈ = 13!/(13 ₋ 8)! 8!
= 13!/5!.8!
= 1287
12C₈ = 12!/(12₋8)! 8!
= 12!/5! 8!
= 495
Now multiply both the combinations of men and women
= 1287 × 495
= 637065
Hence the total number of ways the study group is selected is 637065
Learn more about "Permutations and Combinations" here-
brainly.com/question/11732255
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Answer:
Very nice to see someone ambitious. You need to answer thouroghly in order to get brainliest. Explain every step, as tiring as it may seem.
Have a good day!
Answer:
38=7x-y
Step-by-step explanation:
standard form= Ax+By+C
(y-3=7(x-5))
(y-3=7x-35)+3 to both sides
(y=7x-38) +38 to both sides
(y+38=7x) -y to both sides
38=7x-y
you have to move the 38 and y because if you moved the x value, than A becomes negative and it can't be in standard form
204 is 10.2% of 2000
Working Out
204/2000 x 100 = 10.2%
