That'd be 3 / (3+1) times 4811 students, or 3608 students who are female.
The other fourth of the students are male.
A is incorrect. The identity is for the Sin( A - B). It is not for the Cos(A - B)
B is closer, but NOT the answer. The sign in the middle is incorrect, for one thing. For another Cos(pi/2) = 0,, so the answer would be cos(theta) using this formula.
C The sign is correct in C. The problem is that it is the wrong formula for Cos(theta - pi/2). C should go
Cos(theta - pi/2) = cos(theta) cos(pi/2) + sin(theta)*sin(pi/2)
D. Looks like it's the correct answer. See the comment for C: The identity for C is actually correct for D.
Cos(theta)cos(pi/2) = 0 because cos(pi/2) =0
Sin(theta)*sin(pi/2) = Sin(theta) because Sin(pi/2) = 1
Answer D <<<<<< answer.
Let x be the first number:
1st number: = x
2nd consecutive multiple of 6 = x+6
3rd consecutive multiple of 6 = x+12
4rth consecutive multiple of 6 = x+18
Their sum = 156 → x+(x+6)+(x+12)+(x+18) = 156
4x +30 = 156
4x = 120 and x = 30
The numbers are: 30,36,42,48
Answer: x= 5-y/2
y= 5-2x
Step-by-step explanation:
2x + y= 5
4x + 2y=10
Addition of the two equations gives:
6x + 3y = 15
6x= 15- 3y
x= 15-3y/6 or simplified to x = 5-y/2
3y= 15- 6x
y= 15-6×/3 or simplified to y= 5-2x
