A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. Th
e barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
1 answer:
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
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Dada una ecuación de la forma
<h3>y = A sin(B(x + C)) + D</h3>Tenemos que:
- la amplitud es A
- el periodo es 2π/B
- el desfase es C (a la izquierda es positivo)
- el desplazamiento vertical es D
Sabemos que:
f(x)=1+6Sen(2x+π/3)
Y podemos reescribirla como:
f(x)=6Sen(2(x+π/6))+1
Siendo:
- A = 6 → Amplitud
- T = 2π/B = 2π/2 = π → Período
- C = π/6 → Desfase
- El dominio de un a función trigonométrica es todo el conjunto de los números reales (x ∈ R ).
La imagen de una función trigonométrica de esta forma es:
y ∈ [-A+D,A+D]
y ∈ [-6+1, 6+1]
y ∈ [-5,7]
La gráfica se adjunta.
