Element of Circle
the central angle (α) = (the length of the arc x 360°)/2πr (r = radius)
convert to rad:
Step-by-step explanation:
1) given
2) 2 non - common sides in 1 ray
3) supplemental
5) opposite angles are congruent
Answer:
V ≈ 2011 cm³
Step-by-step explanation:
The volume (V) of a cylinder is calculated as
V = area of base × perpendicular height
V = πr²h ( r is the radius and h the height )
Here r = 8 and h = 10, thus
V = π × 8² × 10
= π × 64 × 10 = 640π ≈ 2011 cm³ ( to nearest whole number )
Answer:
Line A
Step-by-step explanation:
Line A has a constant of proportionality (slope) of 4.
We need to expand the square binomial and then multiply:
<span>3x(x + 3)^2
= 3x(x + 3)</span>(x + 3<span>)
= 3x(x^2 + 6x + 9)
= 3x^3 + 18x^2 + 27x</span>
