Cot(3x)=3^(1/2)
cot(x)= cos(x)/sin(x)
cot(3x)= cos(3x)/sin(3x)
look at a unit circle chart
find a value for cos that has sqrt(3) in it
which one will reduce so that the cos/sin will equal sqrt(3)?
pi/6 radians
now cot(3x) implies that x is one third this value
pi/18 is the answer
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0
The answer is A because 75 + 15 is 90
Answer:
$6,506.51
Step-by-step explanation:
Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)
As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12
<u>Month 0</u> (first payment)
$250
Month 1

<u>Month 2</u>

<u>Month 3</u>

<u>Month 24 (2 years)</u>

The sum

is the sum of the first 24 terms of a geometric sequence with common ratio
which is

so, after 2 years the saving balance is
250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.
Answer:
There are 15 halves in 7 1/2.