I thinks is the first one
Answer:
3 sin(41t) - 3 sin(t)
Step-by-step explanation:
The general formula to convert the product of the form cos(a)sin(b) into sum is:
cos(a) sin(b) = 0.5 [ sin(a+b) - sin (a-b) ]
The given product is:
6 cos(21t) sin(20t) = 6 [ cos(21t) sin(20t) ]
Comparing the given product with general product mentioned above, we get:
a = 21t and b = 20t
Using these values in the formula we get:
6 cos(21t) sin(20t) = 6 x 0.5 [ sin(21t+20t) - sin(21t-20t)]
= 3 [sin(41t) - sin(t)]
= 3 sin(41t) - 3 sin(t)
Therefore, second option gives the correct answer
Answer:
the sum of two numbers is 27. their difference is 5. find the number
Step-by-step explanation:
Let x be the first number and y be the second number ... so we have
x + y = 27
x - y = 5 Adding the equations, we have
2x = 32 Dividing through by 2, we have
x = 16 And substituting or x in the first equation, we have
16 + y = 27 Subtract 16 from both sides
y = 11
Martha’s new weight is 77.25. 3% of 75 is 2.25 and you can find that by multiplying 75 by .03 and adding that number to 75. hope this helps!
Answer:
JL = 52
Step-by-step explanation:
It is given in the question that K is the midpoint of JL.
So, JK = KL ......... (1)
Now, given that, JK =3x - 1 and KL = 2x + 8
Therefore, from equation (1), we can write
3x - 1 = 2x + 8
⇒ x = 9
So, JK = 3x - 1 = 3(9) -1 = 26 and KL = 2x + 8 = 2(9) + 8 = 26
Hence, JL = JK + KL = 26 + 26 = 52. (Answer)
