(1) Using trigonometric ratios:
(2) Using Pythagoras' Theorem:
(3) Using sine rule:
(2) Using Pythagoras' Theorem:
(3) Using sine rule:
for positive acute angles A and B it is known that cos A = 40/41 and tan B = 5/12. find the value of sin(A-B) in simplest form
1 answer:
You might be interested in
Step-by-step explanation:
This is a probability related problem.
Probability is the likelihood of an event to occur;
Pr =
The sample space here is from 1 to 25 which is 25
A.
Pr of a card marked 8; we have just 1 possible outcome;
Pr(8) =
B.
Pr of drawing a card that is a multiple of 5;
Multiples of 5 = 5, 10, 15 and 25
Pr (multiples of 5) =
C.
Pr of drawing a card with odd numbers:
Number of odd numbers between 1 and 25 = 13
Pr(odd numbers) =
D.
Pr of drawing a number with square number on it;
Square numbers between 1 and 25 = 1, 4, 9, 16 and 25
Pr(square numbers) = =
Answer:
The value of k is 5.
Step-by-step explanation:
Since we know we can convert function's quadratic form to vertex form by completing the square.
f(x)=x2?6x+14
We will add and subtract 9 to our equation in order to complete the square.
Upon completing the square and combining like terms we will get,
Upon comparing Willie's vertex form with our expression we can see that k is 5.
Therefore, the value of k is 5.