Answer:
42.86
Step-by-step explanation:
406 and 411 because there is at least 400 sheets because of the 4 boxes of 100 so there would have to be more than 400 because of the loose sheets
Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
The answer is option B
Hope I didn't mess up for your sake
Answer:
Diagonal Length =
inches
Step-by-step explanation:
The suitcase is a rectangle with one side being 24 and another side being 8.
The diagonal is the line through the middle connecting two opposite corners.
If we draw the diagonal, it creates a triangle with one leg being 24 and another being 8.
The diagonal is the "hypotenuse" of the triangle.
Now, the pythagorean theorem:
leg^2 + another leg^2 = hypotenuse^2
So, we substitute the values known and find the hypotenuse (which is length of the diagonal). Shown below:

We have written the answer in exact form (with radical in simplified term).
We also use the radical property 