Cos(A - B) = cos(A)cos(B) - sin(A)sin(B)
Thus,
cos(8x)cos(2x) - sin(8x)sin(2x)
= cos(8x - 2x)
= cos(6x)
Step-by-step explanation:
Simplifying 40 = 15 + -9x + -2
Reorder the terms: 40 = 15 + -2 + -9x
Combine like terms: 15 + -2 = 13 40 = 13 + -9x
Solving 40 = 13 + -9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9x' to each side of the equation. 40 + 9x = 13 + -9x + 9x
Combine like terms: -9x + 9x = 0 40 + 9x = 13 + 0 40 + 9x = 13
Add '-40' to each side of the equation. 40 + -40 + 9x = 13 + -40
Combine like terms: 40 + -40 = 0 0 + 9x = 13 + -40 9x = 13 + -40
Combine like terms: 13 + -40 = -27 9x = -27
Divide each side by '9'. x = -3
Simplifying x = -3
Answer:
86
Step-by-step explanation:
First, we find the area of each individual polygon:
Starting with C for the half circle:
Since it's a half circle, we divide the final product by 2:
Next, the trapezoid:
Last, since we combined the triangle with the trapezoid, we add all the areas we've found to find the area of the entire shape:
<em>Hope this helped! Have a good day.</em>
Answer:
41 litters to gallons is 10.8311
3.5 gallons to litters is 13.2489
Answer:
190π (not part of the answer choices)
Step-by-step explanation:
The surface area of a cylinder can be found using the formula below:
where is the radius of the base, is the diameter of the base and is the height of the cylinder.
Plug in the given values
Therefore, although this answer isn't one of the choices, the surface area of the cylinder is 190π.
I hope this helps!