(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:
Amy: 8, Ben: 3
Step-by-step explanation:
No explanation here
Answer:Amount = 10,002.21
Step-by-step explanation:4 x 5 = 20 times
2.-
Principal = 5,000
Interest rate per yr = 3%
Compounded times per yr = 4
Time in years = 5
The formula is amt = p*(1 + r/n) ^ (n*t),
thus
Amount = 5,805.92
3.-
If Time in years = 23.2
then
Amount = 10,002.56
4.-
Principal = 5,000.00
Interest rate per yr = 5.82%
Compounded times per yr = 4
Time in years = 12
yes because 6 x 2.49=14.49 and that's less than 20 so you'll have a little over 5 dollars to spare.
0.00100037227 will be your correct answer.
