(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:
A) 20%
Step-by-step explanation:
A) ✅
500000(0.2) = 100,000
500000 - 100,000 = 400,000
B) ❌
500000(0.25) = 125,000
500000 - 125,000 = 375,000
C) ❌
500000(0.3) = 150,000
500000 - 150,000 = 350,000
D) ❌
500000(0.35) = 175,000
500000 - 175,000 = 325,000
Answer:
it is 10,000
Step-by-step explanation:
The answer is 2 and a half. Because 18 + 6 + 6 + 3 is 33. This is because $18 to get in then $6 for one hour another $6 for an hour and $3 for an half hour.
