(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:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
Answer:
A
Step-by-step explanation:
6 friends
Mean - 10
Median - 9.5
Range - 14
3 friends watched 12, 13, and 18 movies.
Let's find the sum, this will help us find the total number of movies the other 3 friends watched.
12 + 13 + 18 = 43
The mean is all their movies added toether, divided by the number of friends.
m = number of movies the other friends watched.
(43 + m) / 6 = 10 Multiply each side by 6
43 + m = 10 * 6
43 + m = 60 Subtract 43 from each side
m = 60 - 43
m = 17
So we know the total movies the other friends watched is 3.
A. 4+6+7 = 17
B. 4+4+7 = 15
C. 5+8+9 = 22
D. 2+3+5 = 10
We know the answer is A.
We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.
4, 6, 7, 12, 13, 18
So 7+12 = 19
19/2 = 9.5
So we know for sure A is correct!
Answer:
The one you selected is right
Step-by-step explanation:
Answer:
Personal Identification Number
