Answer:
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Step-by-step explanation:
Arc length of a parametric curve is:
L = ∫ₐᵇ √((dx/dt)² + (dy/dt)²) dt
x = t + cos t, dx/dt = 1 − sin t
y = t − sin t, dy/dt = 1 − cos t
L = ∫₀²ᵖⁱ √((1 − sin t)² + (1 − cos t)²) dt
Or, if you wish to simplify:
L = ∫₀²ᵖⁱ √(1 − 2 sin t + sin²t + 1 − 2 cos t + cos²t) dt
L = ∫₀²ᵖⁱ √(3 − 2 sin t − 2 cos t) dt
Answer:
Step-by-step explanation:
The formula for finding the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.
Where
n represents the number of sides of the polygon.
5a) The polygon has 11 sides. Therefore, sum of angles is
(11 - 2) × 180 = 1620
The measure of each angle is
1620/11 = 148.3°
b) n = 24
Therefore, sum of angles is
(24 - 2) × 180 = 3960
The measure of each angle is
3960/24 = 165°
5a) n = 7
Therefore, sum of angles is
(7 - 2) × 180 = 900
The measure of each angle is
900/7 = 128.6°
5b) n = 10
Therefore, sum of angles is
(10 - 2) × 180 = 1440
The measure of each angle is
1440/10 = 144°
Answer:
16
Step-by-step explanation:
draw a line from the equal and add 5 on each sided and x= 16
11+5=16
Answer:
Im so sorry po sorry
Step-by-step explanation:
sorry
Y = 9x + 47
and
xy = 18601860
substitute for y in second equation:-
x(9x + 47) = 18601860
9x^2 + 47x - 18601860 = 0
factoring 18601860 is a pain so we use the quadratic formula:-
x = [(-47 +/- sqrt (47^2 - 4*9*-18601860)] / 18
this gives x = 1435 , -1440 so we want x=1435 as its positive
this make y = 9(1435) + 47 = 12962
the 2 integers are 1435 and 12962