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:
or 
rounded to the nearest tenth
Step-by-step explanation:
1. Find the area of the base and the top, which are circles.
Area of circle : 
= 986.960440109
There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022
2. Find the rest of the area of the cylander.
So, we have to find the circumference of the circle.
Circumference :2
10 = 62.83
3. Multiply circumference by height.
62.83 x 7 = 439.81
4. Add all of the products.
439.81 + 1973.92088022 = or rounded to the nearest tenth
Bonn. H j j I in j.
Mmmmm
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Answer:
Answer:
t = 3.8 s
option 3
Step-by-step explanation:
For this case we have the following equation:
h (t) = at ^ 2 + v * t + h0
Substituting values we have:
h (t) = - 16 * t ^ 2 + 60 * t + 3
We equate the equation to zero:
-16 * t ^ 2 + 60 * t + 3 = 0
We look for the roots of the polynomial:
t1 = -0.04935053979258153
t2 = 3.7993505397925817
We are left with the positive root and round:
t2 = 3.8 s
