It was marked down $18.49.
I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]
cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1
cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1
cos^2 x - 0.5 cos x - 0.5 = 0
cos x = 1 , -0.5
giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)
because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.
The last 2 results dont fit so the answer is x = 0 , 2pi Answer
Answer:
Step-by-step explanation:
If student ticket = 215 then 215 x 3 = 645$
Remaining tickets = 522 - 215 = 307
So adult tickets = 307 x 4 = 1228$
Total amount = 1228 + 645 = $1873
Answer:
x =17.6
The three angles are
6x = 105.6
x-3 =14.6
3x+7 = 59.8
Step-by-step explanation:
The three angles of a triangle add to 180 degrees
6x + x-3 + 3x+7 = 180
Combine like terms
10x +4 = 180
Subtract 4 from each side
10x+4-4= 180-4
10x = 176
Divide each side by 10
10x/10 =176/10
x =17.6
The three angles are
6x = 6*17.6= 105.6
x-3 = 17.6-3 =14.6
and 3x+7 = 3(17.6)+7 =52.8+7 = 59.8
