(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: a,b,d,e are all right beacuse they all relate to the question
Step-by-step explanation:
c how ever is no shown on the graph and is therefor wrong
Answer:
first x=2
second x=1
Step-by-step explanation:
Answer:
13 in³
Step-by-step explanation:
This is a skewed pyramid, but that doesn't change the way you find the volume of the figure.
The formula for the volume of a pyramid is 1/3(b)(h)
Multiply 6 by 6.5 to get 39, then divide it by 3 to get 13 in³
Answer:
First one is 25/2
Step-by-step explanation:
12×2+1=25/2
9×4+1=36/4
cross multiply and you get
100/
divide both by 2 and you get 50/4 then you divide both by 2 again and you get 25/2 because you can't reduce it anymore
