(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:
OMGGGG WANNA WRK ON THIS TOGETHER I NEED THIS PROBLEM TOOOOO
<span>Step 1: 1.125 = 1 125⁄1000</span><span> </span>
<span>Step 2: Simplify 1 125⁄1000 = 1 1⁄8</span><span> </span>
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Answer:
6 millimeters
Step-by-step explanation:
A = L × W
A ÷ L = W
42 ÷ 7 = 6
A) x - 7 > 3 |add 7 to both sides
x > 10
b) x - 7 > 3 |add 7 to both sides
x > 10
