By definition we have to:
Sin (x) = C.O / h
Where,
x = angle
C.O = opposite leg
h: hypotenuse.
Substituting values we have:
Sin (C) = AB / 82
We should look for AB. For this, we use the following relationship:
AB ^ 2 + 80 ^ 2 = 82 ^ 2
Clearing AB:
AB = root ((82 ^ 2) - (80 ^ 2))
AB = 18
Substituting we have:
Sin (C) = 18/82
Simplifying:
Sin (C) = 9/41
Answer:
the trigonometric ratio for sin C is:
Sin (C) = 9/41
Steps
38 + 7k = 8k + 32
38 + 7k - 38 = 8k + 32 - 38
7k = 8k - 6
7k - 8k = 8k - 6 - 8k
-k = -6
-k/-1 = -6/-1
k = 6
Answer
k = 6
For the first blank, the answer should be the total weight of the solution which is derived from adding 5 grams and 20 grams. The answer would be,
T = 5 + 20 = 25 grams
For the second blank, the % solution is derived by dividing the amount of salt initially by the total amount of the resulting solution. This is as shown below.
C = ((20 x 0.5) / 25) x (100%)
Simplifying,
C = 40%
Answers:
a. 25 grams
b. 40%
The correct answer is B.9
Hope it helps!
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