First we use sin(a+b)= sinacosb+sinbcosa
and cos(a+b)=cosa cosb -sinasinb
tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)
and sin(x+pi/2) = sinxcospi/2 + sinpi/2cosx =cosx,
<span>cos(x+pi/2) = cosxcospi/2- sinxsinpi/2= - sinx,
</span> because <span>cospi/2 =0, </span>and <span>sinpi/2=1
</span><span>=tan(x+pi/2)= sin(x+pi/2) / cos(x+pi/2)= cosx / -sinx = -1/tanx = -cotx
</span>from where <span>tan(x+pi/2)=-cotx</span>
Answer:
<u><em>26/3 is your answer as a improper fraction </em></u>
<u><em>8.6 is your answer as a decimal </em></u>
<u><em>8 2/3 is your answer as a mixed number </em></u>
How to add mixed numbers Step-by-step:
1) find the least common denominator
2) find the equivalent fractions
3) add the the fractions, add the whole numbers
4) write your answer in lowest terms
Answer: The 2nd option is correct.
Step-by-step explanation:
Since you have started off with 4 players, the number line needs to start at 5, because 9 - 4 = 5. This gives us the answer of the second option, because it starts at 5 and goes to the positive side.
Answer:
6 is most directly associated with the flow rate of customers
Step-by-step explanation:
Reason:
0.25 is the number of customers in the gift shop at a given point of time is WIP inventory
7.5 is the average time spent by customer in the shop and it is the throughput time.
Flow rate = WIP inventory/Throughput time
=0.25/7.5
= 0.0333 per minute = 2 per hour or 6 per 3 hour as given in question.
