Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
12 men and 18 women: x1; 14 days; y1
8 men and 16 women: x2; ?; y2
12/18 simplified is equal to 2/3
8/16 simplified is equal to 1/2
This is a direct proportion, thus we can say that:
(1/2*14)/(2/3)=y2
7/(2/3)=10.5 days
I hope this helped you get out of homework trouble :D
OwO
Answer:
56/65
Step-by-step explanation:
First, we know that cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
We know what sin(a) and sin(b) are, and to get cos(a), we can take the equation sin²a + cos²a = 1
Thus,
(12/13)² + cos²a = 1
1 - (12/13)² = cos²a
1- 144/169 = cos²a
cos²a = 25/169
cos(a) = 5/13
Similarly,
(3/5)² + cos²b = 1
1 - (3/5)² = cos²b
1 - 9/25 = cos²b
cos²b = 16/25
cos(b) = 4/5
Our answer is
cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
cos(a-b) = (5/13)(4/5) + (12/13)(3/5)
cos(a-b) = 20/65 + 36/65
cos(a-b) = 56/65
Answer:
48
Step-by-step explanation:
36 divided by 3 times 4.
Answer:
142 degrees
Step-by-step explanation:
The sum of angle in a quadrilateral is 360 degrees
33 + 20 + 165 + X =360
53 + 165 + X = 360
218 + X = 360
X = 360 - 218
X = 142
Hence the size of angle X is 142 degrees
