9514 1404 393
Answer:
9.404 cm
Step-by-step explanation:
A regular polygon with n sides inscribed in a circle of radius r will have a side length given by ...
s = 2r·sin(180°/n)
For r = 8 and n = 5, this gives a side length of ...
s = 2·8·sin(180°/5) = 16·sin(36°) ≈ 9.404 . . . cm
Answer:
(x - 2)² - 30
Step-by-step explanation:
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 4x
f(x) = x² + 2(- 2)x + 4 - 4 - 26 = (x - 2)² - 30
V=πr²h
V=(3)(2²)(8)
V=96
V=(πr²h)/3
V=(3)(2²)(3)/3
V=12
V=96+12
V=108
It's the last option again. You have 1 linear factor (3<em>x</em>) and 2 copies of a quadratic factor (<em>x</em>² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.