(3 cos x-4 sin x)+(3sin x+4 cos x)=5
(3cos x+4cos x)+(-4sin x+3 sin x)=5
7 cos x-sin x=5
7cos x=5+sin x
(7 cos x)²=(5+sinx)²
49 cos²x=25+10 sinx+sin²x
49(1-sin²x)=25+10 sinx+sin²x
49-49sin²x=25+10sinx+sin²x
50 sin² x+10sinx-24=0
Sin x=[-10⁺₋√(100+4800)]/100=(-10⁺₋70)/100
We have two possible solutions:
sinx =(-10-70)/100=-0.8
x=sin⁻¹ (-0.8)=-53.13º (360º-53.13º=306.87)
sinx=(-10+70)/100=0.6
x=sin⁻¹ 0.6=36.87º
The solutions when 0≤x≤360º are: 36.87º and 306.87º.
1, 24; 2, 12; 3, 8; 4, 6. mix and match for the codes but that's like 100+ combinations and I don't have that kind of time sorry
Answer:
I think this is a probability problem.
Step-by-step explanation:
201*0.9 the divide by 179??
40 total spins
it landed on H 15 times which equals 15/40
15/40 reduces to 3/8
the answer is C 3/8
Answer:
25x = - 1820
x = -72.8
The truck drove 72.8 miles at 45mph and 100-72.8 = 27.2 miles at 20mph
Step-by-step explanation:
