Answer:

Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by
, where
is the radius of the circle and
is the angle of the arc.
In this problem, we're given:

Substituting given values, we get:

Answer:
8.0
Step-by-step explanation:
Answer:
-1875
Step-by-step explanation:
An arithmetic sequence has a common difference as a sequence. Here the common differnece is -11.
So our sequence so far looks like,
(57,46,35,24....). We know the last term of the sequence is -207 and we need to find the nth term of that series so we use arithmetic sequence

where a1 is the inital value,
d is the common differnece and n is the nth term.
We need to find the nth term so




So the 25th term of a arithmetic sequence is last term, now we can use the sum of arithmetic sequence
which is




Answer:
You just need to multiply everything in the correct square
So,
2x + 6 - 6x = 30
Collect Like Terms.
-4x + 6 = 30
Subtract 6 from both sides.
-4x = 24
Divide both sides by -4.
x = -6
Check.
2x + 6 - 6x = 30
2(-6) + 6 - 6(-6) = 30
-12 + 6 + 36 = 30
-6 + 36 = 30
30 = 30 This checks.
S = {-6}
That is option A.