Answer:
91 short stories
Step-by-step explanation:
You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and then stopped afterwards.
For this problem, we just have to use the values we're given to calculate the approximate value of pi.
The formula presented is
When you have a negative exponent, we can use the following property
Using this property, our problem turns out to be
Now, we just need to plug the given values on this equation
The approximated value for pi is 3.142.
The answer is 0.9 if z is in the numerator and if it is in the denominator it is 1/9
Answer:
0, π, 7π/6, 11π/6 on the interval 0 ≤ ø <2π.
Step-by-step explanation:
sinø + 1 = cos2ø
Use the identity cos 2o = 1 - 2 sin^2 o:
sin o + 1 = 1 - 2 sin^2 o
2sin^2 o + sin o + 1 - 1 = 0
2 sin^2 o + sin o = 0
sin o (2 sin 0 + 1) = 0
Therefore sin o = 0 or sin o = -1/2.
For sin o = 0 , o = 0, π radians.
For sin o = - 1/2, o = 7π/6, 11π/6 radians.
The greatest common factor of two numbers is, as the name suggests, the greatest integer that divides both numbers.
You number are already factored in product of primes, so it is obvious that the first number 133 = 19x7 is divisible by 1, 7, 19 and 133.
The same goes for 15 = 3x5: it is divisible by 1, 3, 5 and 15.
As you can see, there is no non-trivial divisor which is common to both number, so the answer is 1
