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:
Based off of my calculations, I got 126
Step-by-step explanation:
The formula for area would be: A = L * W
So, when finding the width (W), you would need to divide the area (A) by the length (L).
Equation: W = A / L
Now you know the equation, all you need to do is plug in the numbers:
[84 divided by 2/3]
W = 84 / 2/3
After solving this, you would get: 126
So, W = 126.
To check if we got the correct answer, we could just multiply the length times the width:
126 * 2/3
Since this equation gives us 84 as the answer, 126 is the correct width.
Answer: the amount of interest that Alyssa will pay on her loan is $1320
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
From the information given,
P = $22000
R = 4.5%
T = 4 years
Therefore,
I = (22000 × 1.5 × 4)/ 100
I = 132000/100 = $1320
Answer:
I assume you meant 4x^2
So the answer in simplified form is -4x^2-11x+3
Answer:
A
Step-by-step explanation:
