(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.
Answer:
h=6y/q∧3
Step-by-step explanation:
Rounding the number to the hundreds place, the answer would be 285.39.
Hope this helped!
Nate
Answer:
Given that:
Susan spent on supplies = $17.75
Earning of june = 24 * $3.25
Earning of June = $78
1/4 of earning = 1/4 * 78
1/4 of earning = $19.5
So Susan will set $19.5 aside for supplies of next month and remaining amount she will have is : 78 - 19.5 = $58.5
i hope it will help you!
