Answer:
The answer would be X=24
Step-by-step explanation:
Y is multiplied by 3 to get the answer 30. Because they are varied directly you have to multiply the 8 by 3 to get your answer!
-Hope this helps-
~Bai~
Answer:
D. 
Step-by-step explanation:
we are given
Firstly, it is reflected over x-axis
we know that for reflection about x-axis , we can replace y as -y
we get
now, it is vertical shift up by 4 units
so, we can add 4 to y-value
we get
(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:
53 degrees to the nearest degree.
Step-by-step explanation:
Sine H = opposite / hypotenuse
= 8/10
= 0.8
H = 53 degrees.
