Answer:
A
Step-by-step explanation:
cuz if you pay attention to the y coordinate on f(x) it's 4 instead of 1 as in g(x). this means that y-coordinate is multiplied to 4 therefore 4g(x) and it is vertically shifted up 1 unit and therefore the equation would be
f(x) = 4g(x) + 1
as g(x) = x²
.:
f(x) = 4x² + 1
Total surface area = lateral area of cone + lateral area of cylinder + area of base of cylinder:
cone: πrL = π(5cm)(13cm) = 65πcm²
cylinder: 2πrh = 2π(5cm)(12cm) = 120πcm²
base: πr² = π(5cm)² = 25πcm²
total surface area = 65πcm² + 120πcm² + 25πcm² = 210πcm²
RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)
Proving LHS = RHS:
LHS = [a tan(u) + b]² + [b tan(u) - a]²
= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS
Answer:
144 students in 9 years
Step-by-step explanation:
2%=0.02. 800×0.02=16
16×9=144
