Answer:
Perimeter = 24 + 8π /3 m.
Step-by-step explanation:
Arc length = rC where r = radius and C = angle in radians.
40 degrees = 40 π / 180
= 2π /9 radians.
Arc length = 12 * 2π /9
= 8π /3 m.
Perimeter of the sector = 2*12 + 8π /3
= 24 + 8π /3 m.
Answer:
the answer to a is $75.14
the answer for B is $5,773
Step-by-step explanation:
Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have
f'(x) = 2ax + b
and
f''(x) = 2a
Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.
(i) f is concave up when f'' > 0, which occurs when a > 0.
(ii) f is concave down when f'' < 0, and this is the case if a < 0.
In Mathematica, define f by entering
f[x_] := a*x^2 + b*x + c
Then solve for intervals over which the second derivative is positive or negative, respectively, using
Reduce[f''[x] > 0, x]
Reduce[f''[x] < 0, x]
265/99, is what I think but I’m not sure
Answer:
300 < d < 700
Step-by-step explanation:
on edgenuity 2020
