Answer:
49/81
Step-by-step explanation:
[cos(a) + sin(a)]^2 = (1/3)^2
(cos(a))^2 + 2sin(a)cos(a) + (sin(a))^2 = 1/9
(sin(a))^2 + (cos(a))^2 = 1
1 + 2sin(a)cos(a) = 1/9
2sin(a)cos(a) = -8/9
sin(a)cos(a) = -4/9
[cos(a) + sin(a)]^4 = (1/3)^4 = 1/81
(cos(a))^4 + 4sin(a)×(cos(a))^3 + 6×(sin(a))^2×(cos(a))^2 + 4(sin(a))^3×cos(a) + (sin(a))^4 = 1/81
(cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)((cos(a))^2 + (sin(a))^2) + 6(sin(a)cos(a))^2 = 1/81
cos(a))^4 + (sin(a))^4 + 4sin(a)cos(a)(1) + 6(sin(a)cos(a))^2 = 1/81
(cos(a))^4 + (sin(a))^4 + 4(-4/9) +6((-4/9)^2) = 1/81
(cos(a))^4 + (sin(a))^4 - 16/9 + 6(16/81) = 1/81
(cos(a))^4 + (sin(a))^4 = 1/81 + 16/9 - 6(16/81)
(cos(a))^4 + (sin(a))^4 = 49/81
B.6 because the length is equal to the length of the other 6
9514 1404 393
Answer:
see attached
Step-by-step explanation:
a) A system of equations has no solutions when the graphs of those equations do not intersect. If the equations are equations of a line, then the lines must be parallel in order for them not to intersect.
Any parallel line will do.
__
b) There is one solution when the graphs intersect in exactly one point.
Any line that crosses the one shown will do.
__
c) There are infinite solutions when the graphs describe the same curve.
A line overlapping the one shown is the one you want.
Answer:
D.32
Step-by-step explanation:
14 + 45 = 59
180 - 59 = 121
The oppisite angle in that shape will be equal
so, E= 121
121+27 = 148
180 - 148 = 32
