(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.
2) 25/48 All you do is multiply both.
1) she sold 5 children and 10 adult. 5 *5 equals 25. You double 5 to get twice as many tickets for adults and get 10. 8 *10 equals 80. 80 + 25= $105
Answer is 4 so C for you. I just did this with my brother! Hope this helped.
Answer:
C
Step-by-step explanation:
point-slope equation is y-y1=m(x-x1)
y1=2
x1=6
m=(-5/7)
so the equation is y-2=-5/7(x-6)
hope this helps :3
<h2>Hope it is helpfully.</h2><h3>Have a nice day.</h3>
