Answer:
C) -8cos 3xsin x
Step-by-step explanation:
To express -4(sin4x - sin2x) as a product, we use the formula sinA - sinB = 2cos[(A + B)/2]sin[(A - B)/2.
Comparing sin4x - sin2x with sinA - sinB, A = 4x and B = 2x.
Substituting these into the equation, we have
sin4x - sin2x = 2cos[(4x + 2x)/2]sin[(4x - 2x)/2
sin4x - sin2 x = 2cos[6x/2]sin[2x/2]
sin4x - sin2x = 2cos3xsinx
So, -4(sin4x - sin2x) = -4(2cos3xsinx) = -8cos3xsinx
So, -4(sin4x - sin2x) = -8cos3xsinx
Thus, the answer is C
Answer:
39
Step-by-step explanation:
(-1)²-8x(-1)+30
1+8+30
39
Answer:
Kaya rented the limo for 5 hours and 30 minutes.
Step-by-step explanation:
Answer:
The area of trapezoid is 32 inches^2
Step-by-step explanation:
Parallel base 1 = a = 3 inches
Parallel base 2 = b = 5 inches
Height of trapezoid = 8 inches
We need to find area of trapezoid
The formula used is: 
Now putting the values and finding area of trapezoid

So, the area of trapezoid is 32 inches^2
Answer:
Fencing = 95.03ft
Step-by-step explanation:
Since there is a path 3 ft wide around the garden, Ross needs to put a fence around the path.
To find that we need to find the circumference of the garden including the path.
Radius of garden = diameter/2 = 2.5
path = 3ft
new radius = 5.5
circumference = π
circumference = 95.03 ft