It can be -2254/10
or -225 4/10
Statement:
1. RS tangent to Circle A and Circle B at points R and S
2. AR ⊥ RS, BS ⊥ RS
3. AR ║ BS
Reason:
1. Given
2. Radius ⊥ to tangent
3. 2 lines ⊥ to same line are ║
100% Correct
~Hope it helps~ :)
Answer: 11
Step-by-step explanation:
48+4=52
5×11=55
She needs 11 boxes to cover all expenses.
(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.
