Answer:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Step-by-step explanation:
The volume of a rectangular prism of length L, depth W and height H is
V = L * W * H.
Thus,
in this case,
V = (2x + 1)(x - 2)(3x).
The order in which we multiply these quantities together is immaterial.
Working from left to right, we get:
V = (2x^2 - 3x - 2)(3x), and then:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Answer:
θ = 60°
Step-by-step explanation:
The cross sectional area of the trapezoid shape will be that of a trapezoid with bases of 10 cm and (10 cm + 2·(10 cm)·cos(θ)) and height (10 cm)·sin(θ).
That area in cm² is ...
A = (1/2)(b1 +b2)h = (1/2)(10 + (10 +20cos(θ))(10sin(θ)
A = 100sin(θ)(1 +cos(θ))
A graphing calculator shows this area to be maximized when ...
θ = π/3 radians = 60°
_____
<em>A</em> will be maximized when its derivative with respect to θ is zero. That derivative can be found to be 2cos(θ)² +cos(θ) -1, so the solution reduces to ...
cos(θ) = 1/2
θ = arccos(1/2) = π/3
Answer:<1=120<2=60
Step-by-step explanation:
15^2 + 7^2 = 225 + 45 = 274
WX = √274 = 16.55
Answer
WX = 16.55 units
Answer:
A
Step-by-step explanation:
5*10^1=5*10=50
5*10^2=5*100=500