The answer is A because the two lines are equal
Answer:
f(x) = 2π (11 + sin x) √(1 + cos²x)
Step-by-step explanation:
Surface area of a curve rotated about y = a is:
S = ∫ 2π (y − a) ds,
where ds = √(1 + (dy/dx)²) dx.
y = 6 + sin x, and a = -5. dy/dx = cos x. Plugging in:
S = ∫₀²ᵖⁱ 2π (6 + sin x − -5) √(1 + cos²x) dx
S = ∫₀²ᵖⁱ 2π (11 + sin x) √(1 + cos²x) dx
Therefore, f(x) = 2π (11 + sin x) √(1 + cos²x).
If a:b=c:d then a/b=c/d and ad=bc
so
if 16:14=64:60 then 16/14=64/60 and (16)(60)=(14)(64)
(16)(60)=960
(14)(64)=896
960≠896
not equivilent
the easiest way is to simplify them
16/14=8/7
64/60=32/30=16/15
not equal
not equivilent
You could buy 6 keychains spending 4 dollars each. 6 * 4 = $24.
Answer:
x=28
Step-by-step explanation:
180= 38 + (4x+30)
142= (4x+30)
112=4x
x=28