(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:
x= 6
∠FGT = 55
∠GFE = 65
Step-by-step explanation:
Answer:
Midsegment of a Triangle Theorem
Step-by-step explanation:
Midsegment of a Triangle Theorem - is the right choice
- <em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>
<u></u>
Answer:
57.3333333333
Step-by-step explanation:
you set up a equation that looks like this
86
___ = ______
100 150
you mutiply 100 by 86 and get 8600 then you divide that by 150 and get 57.333333333 as your finally answer.
The question only supplied us with the mass of the new baby which is:

This mass is too bizzarre & unrealistic for