1/3 = 4/12
(4/12 + 11/12) * 2/3
= 15/12 * 2/3
15/ 12 can also be written as 5/4
5/4 * 2/3 = 10/12
10/12 can be simplified into 5/6
Therefore, the answer is 5/6
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer:
16 folders
Step-by-step explanation:
The first store has 1152 possible combinations. The second store has 72 combinations without the folders.
If we divide 1152 by 72, we have 16. Therefore the second store needs 16 folders to have the same number of combinations as the first store.
Answer:
um well if C would be the X then
Step-by-step explanation: 2 times 2 is four now you have to figure out which number minus 4 is 5 which would be nine then you go back to the 3x part and the only way to get nine from a 4-3 is it would have to be a negetive so then you see that 2 plus seven is 9 or 2- (-7) is 9 so you find three times -7 =-2.33333333
