X = 45 is the answer
180-x = 3(90-x)
=> 180-x = 270 - 3x
=> -x+3x = 270-180
=> 2x = 90
=> x = 90/2
=> x = 45
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Step-by-step explanation:
lim(n→∞) |aₙ₊₁ / aₙ|
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) / (4ⁿ / n!) |
lim(n→∞) | (4ⁿ⁺¹ / (n+1)!) × (n! / 4ⁿ) |
lim(n→∞) | 4 / (n+1) |
0
Since the limit is less than 1, the series converges.
3

x
You can put that on a number line. Be sure that the dot you use is closed.
Answer:
2i√5
Step-by-step explanation:
√-20 = √-1 × √20
√-1 = i
√20 = 2√5
i × 2√5 = 2i√5
Answer:
The circumference is 14 and the area of this circle would be close to 153.94.
Step-by-step explanation:
The circumference of a circle is the measure of it from one side to another. In this case it is 14.
The radius on the other hand is half of the circumference and only extends from the middle of the circle out. Half of 14 is 7.
In order to find the area, you will need the formula.
A =
Plug in the numbers:
A =
(
)
You solve and get approximately 153.94