Answer:
11.46°
Step-by-step explanation:
Let x be the angle that yields an arc length of 1 feet, if r= 5 feet, applying the circumference length equation and assuming that a full circumference has 360 degrees:
Rounding to the nearest hundredth, the angle should be 11.46°
Answer:
30240 number of ways are there to seat them
Step-by-step explanation:
Total number of ways of arranging 9 people on 9 chairs in circular manners = (9-1)! = 8! =
number of ways A sit always sit next to B = AB together makes a single and
therefore total number of arrangements for this = 7+(AB) = 8 that is 8 persons sitting in circular manner
number of ways = (8-1)! =7! = 5040
likewise number of arrangements for A and C will be = 5040
Total number of ways such that A cannot sit next to B or C = total ways of 9 persons - total number of A always sitting next to B - total number of ways always sitting next to C = 8! - 7!-7!
= 40320- 5040-5040
= 30240
=
Hello,
A)
cos 135°=- cos 45°=-√2/2
sin 135°=sin45°=√2/2
2(cos 135°+i sin 135°)=-√2 + i*√2
B)
cos 120°=-cos 30°=-√3 /2
sin 120°=sin 30°=1/2
3(cos 120° + i sin 120)=-3/2*√3 +i*3/2
C)
cos (5π/4)=-cos (π/4)=-√2 /2
sin (5π/4)= -sin(π/4)=-√2 /2
5(cos (5π/4)+i sin (5π/4))=-5/2*√2 +i *5/2*√2
D)
cos(5π/3)=cos(π/3)=√3 /2
sin (5π/3)=-sin(π/3)=-1/2
4(cos(5pi/3)+i sin (5pi/3))
=2√3- 2*i
If you were solving a system of equations and you come to a statement like 4 = 4 ( or 0 = 0 or 1 = 1 etc ) than you know that:
D ) There are infinitely many solutions.
