Answer:
D. 5
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by it's reciprocal
Answer:
34 would be a Rational number
Step-by-step explanation:
it's clean number and not sloppy like 0.888883
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = = = - 1
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
<span>49x^2+28x+4
= (7x + 2)^2
= (7x + 2)(7x + 2)</span>