Answer:
V_rocket = 44
ft^3 = 138.2 ft^3
Step-by-step explanation:
Volume of cone
V_cone = (1/3)*(*(radius^2))*h
radius = 2ft
h = height of the cone = 3 ft
pi = 3.1416
V_cone = 4 ft^3
Volume cylinder
V_cylin = (*(radius^2))*h_cyl
h_cyl = height of the cylinder = 10 ft
V_cylin = 40 ft^3
Volume rocket
V_rocket = V_cone + V_cylin = 4 ft^3 + 40 ft^3
V_rocket = 44 ft^3 = 138.2 ft^3
Answer:
1,040kg/m³
Step-by-step explanation:
1g/cm³ =1,000kg/m³
1.04g/cm³=?
= 1.04×1000
Density =1,040kg/m³
Answer:
Step-by-step explanation:
The genral form of a complex number in rectangular plane is expressed as z = x+iy
In polar coordinate, z =rcos ∅+irsin∅ where;
r is the modulus = √x²+y²
∅ is teh argument = arctan y/x
Given thr complex number z = 6+6√(3)i
r = √6²+(6√3)²
r = √36+108
r = √144
r = 12
∅ = arctan 6√3/6
∅ = arctan √3
∅ = 60°
In polar form, z = 12(cos60°+isin60°)
z = 12(cosπ/3+isinπ/3)
To get the fourth root of the equation, we will use the de moivres theorem; zⁿ = rⁿ(cosn∅+isinn∅)
z^1/4 = 12^1/4(cosπ/12+isinπ/12)
When n = 1;
z1 = 12^1/4(cosπ/3+isinn/3)
z1 = 12^1/4cis(π/3)
when n = 2;
z2 = 12^1/4(cos2π/3+isin2π/3)
z2 = 12^1/4cis(2π/3)
when n = 3;
z2 = 12^1/4(cosπ+isinπ)
z2 = 12^1/4cis(π)
when n = 4;
z2 = 12^1/4(cos4π/3+isin4π/3)
z2 = 12^1/4cis(4π/3)
<span>The rectangle with the largest area with a given perimeter will be a square - so the sides will be equal. So we need to find length of side, L, such that 4*L=168.
L = 168/4
L=42.
So the dimensions of the rectangle that maximizes the area with a perimiter of 168 feet are: 42 feet by 24 feet.</span>
