(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.
There are 64 people in the room.
Since the ratio for women increases 1 when 8 women enter the room, for every time there is 1 in the ratio there are 8 people. That means that originally you have to do 3x8 and 4x8. You get 24 and 32 which equals 56. Then when 8 more women enter the room, you get 64.
Answer:
Please check explanation
Step-by-step explanation:
Here, we want to do a matching.
We shall be matching the given statements with the features we have on the graph
Hence we shall be looking closely at the graph to answer the questions.
The y-intercept is the point at which the graph touches the y-axis
And it was at -3 degrees celsius at the beginning of the day.
The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval
We can see that the graph rose from 8am before it finally comes to zero at 8pm
Positive or negative interval matches with it was getting warmer between 2am and 2pm.
While temperature was lowest at 2am, we can see a peak at 2pm.
I think that date has been changed...but it used to be the deadline to file ur taxes
Answer:
4(4x1-16)
Hope this helps
Have a good day :)
PS I disibuted 4 to 4x1 to get 16 and 4 to -16 to get -64
Step-by-step explanation:
