Answer:
x =15 + 30n
Step-by-step explanation:
8cos(12x)+4=-4
Subtract 4 from each side
8cos(12x)+4-4=-4-4
8cos(12x)=-8
Divide by 8
8/8cos(12x)=-8/8
cos(12x) = -1
Take the arccos on each side
arccos(cos(12x)) = arccos(-1)
12x = 180 degrees
But we can go around in a circle of 360 and get the same result
12 x = 180+360n where n is an integer
Divide each side by 12
x = 180/12 +360n/12
x =15 + 30n
Answer:
A = π(14t)²
Step-by-step explanation:
The radius is increasing at the rate of 14 cm per second.
We need to find the formula for the area A of the circle as the function of time t.
Initial area of the circle,
A = πr², where r is the radius of the circle
Area as a function of t will be :
A = π(14t)²
Here, 14t is the radius of the wave.
Perimeter = 2L + 2W (where L = length and W = width)
And we are given that L = 3W
So substituting for L, we have the equation:-
2(3W) + 2W = 64
6W + 2W = 64
8W = 64
W = 8 meters
So the length = 3*8 = 24 meters
Answer:- Length = 24 m and Width = 8 m.
Essentially, the rule goes as so: odd + odd = even, even + even = even.
Although that may not be the answer you're looking for, it is a math rule that is never debunked and essentially the premises for why you get an even sum practically always depending on the numbers.
Hope this helps!