Answer: The answer is (a) sec A = 11 over 3.
Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,
i.e.,
And we need to find which one of the given four options is correct.
We have the following relations between cosine, secant and cosecant of an angle from trigonometry.
Therefore,
and
Thus, the correct option is (a) sec A = 11 over 3.
Answer:
Exact Form: 2√26
Decimal Form: 10.19803902 …
Step-by-step explanation:
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So, (Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.