4 red marbles
6 blue marbles
8 green marbles
Add:
4 + 6 = 10
10 + 8 = 18
18 total marbles
Green marbles/total marbles
8/18
Simplify:
8 ÷ 2 = 4
18 ÷ 2 = 9
Simplest form = 4/9
8/18 = 4/9
D. 4/9
Answer:
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
Step-by-step explanation:
(18q5 – 17q3 + 9 – 15q6) – (–2q3 – q2 + 13q4)
(18q5 – 17q3 + 9 – 15q6) +2q3 + q2 - 13q4
18q5 – 17q3 + 9 – 15q6 +2q3 + q2 - 13q4
18q5 - 15q3 – 15q6 + q2 - 13q4 + 9
– 15q6 + 18q5 - 13q4 - 15q3 + q2 + 9
Answer:
Cos(2115°) =1/√2
Sin(2115°) = -1/√2
Step-by-step explanation:
We have to find the values of Cos (2115°) and Sin (2115°).
Now, 2115° can be written as (23×90°+ 45°).
Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.
Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)
Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)
Now, the required reference angle is 45°. (Answer)
a reflexion across the x axis
vertical stretch by a factor of 2
a horizontal shift 3 units left
a vertical shift 4 units down
