Answer:
2
Step-by-step explanation:
(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:
let's see what to do...
Step-by-step explanation:
H is between G and I.
G I = G H + H I
38 = 8 x + 7 + 3x - 2
38 = 11 x + 5
subtract the sides of equation minus 5
38 - 5 = 11 x + 5 - 5
33 = 11 x
divided the sides of equation by 11
33 ÷ 11 = 11 x ÷ 11
3 = x
So the lenght of (G H) is :
8 x + 7 -----¢ 8 (3) + 7 = 24 + 7 = 31
And we're done.
Thanks for watching buddy good luck.
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Answer:
Step-by-step explanation:
3x-2y= 100
3x= 10 +2y
x =(10+2y)/
Twenty-five times two = fifty