n = 4
n = 5
n = 6
Answer:
n = 3
Step-by-step explanation:
The terminal side of an angle fall along the positive portion of the y-axis,
If it can written in the form of (90°)a
Where a is any positive odd integer,
Here, the given angle is,
(870n)°,
For n = 3,
Our angle will be 2610°
Its terminal side fall along the positive portion of the y-axis,
If 2610° = (90°)a ⇒ a = 29 ( Positive odd integer )
Thus, for n = 3, the terminal side of the angle (870n)° falls along the positive portion of the y-axis,
For n = 4,
Our angle will be 3480°
Its terminal side fall along the positive portion of the y-axis,
If 3480° = (90°)a ⇒ a = 38.6667 ( Not possible )
Thus, for n = 4, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis
For n = 5,
Our angle will be 4350°
Its terminal side fall along the positive portion of the y-axis,
If 4350° = (90°)a ⇒ a = 48.333.. ( Not possible )
Thus, for n = 5, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis,
For n = 6,
Our angle will be 5220°
Its terminal side fall along the positive portion of the y-axis,
If 5220° = (90°)a ⇒ a = 58 ( Not possible )
Thus, for n = 6, the terminal side of the angle (870n)° does not fall along the positive portion of the y-axis.
Answer:
B: $1450
Step-by-step explanation:
Answer: Up to 140 quarts.
Step-by-step explanation: There are 4 quarts in one gallon so you just multiply 35 by 4.
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
D. (-3x-4i)(x-3i)
Answer:
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
Since they are the same answer choice. Should be (-3x-6i)(x-2i) should be the correct answer.
Step-by-step explanation:
The polynomial -3x^2-12 can be factored using GCF into -3(x^2+4).
x^2+4 is a sum of squares and factors into the form (x+ai)(x-ai).
x^2+4 factors into (x+2i)(x-2i).
We put them together and have -3(x+2i)(x-2i) = (-3x-6i)(x-2i)
b.1500 cm3
c.150 cm3
d.25 cm3
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that ∠NSM,
we need to find is vertical angles of ∠NSM,
1) ∠OSL is a vertical angle of ∠NSM as it has one common vertex and all other are collinear points.
2) ∠SMN can't be vertical angle as vertical angles must be equal at common vertex but it does not do that it forms angle on M rather than on S.
3) ∠SNM can't be vertical angles as vertical angles must be equal at common vertex but it does not do that it forms angle on N rather than on S.
4) ∠OSN can't be vertical angle as vertical angles must have only one common vertex but in this case it has two common vertex i.e. S and N. so it will be linear pair.
Hence, Option 'a' is correct.