<span>Part A: Area = length * width = (6x^2 + 3x - 2) * (x^3 - 2x + 5)
Multiply it out and simplify.
part B: </span><span>Take the first term 6x^2 and multiply each of the term x^3, -2x & 5. Then take 3x and multiply each of the term x^3, -2x & 5. Do the same with -2.
Then add like terms and simplify.</span>
Answer:320
Explanation:
20 days times 13 pages= 260pages
10 days times 6 pages = 60pages
Total for the 30 days:
260+60= 320 pages total
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
There are 2 ways of measuring angle. It is either by radians or by degree. Radians is unitless or we just call it rad. A pi is equivalent to 180 degrees. A pi is equal to 3.14. So when we answer this we multiply 216 by pi/180 or 2pi/360. The answer is 3.7699 or 3.8 rad.
