Answer:
First choice.
Step-by-step explanation:
cos 11π/6 = cos π/6 = √3/2
So cos 11π/12 = √(1 + cos 11π/6) / √2
= √(1 + √3/2) / √2
= √(2 + √3) / 2.
Answer:
3
Step-by-step explanation:
It seems like your question is not complete.
So I will asume that it is like the one in the image.
But probably the answer is not 3 if the range is different from (1-2), eventhough, you just have to follow the same steps.
Answer:
6075
Step-by-step explanation:
- Given series is: 25 + 30 + 35 + ⋯ + 245.
- Here, first term (a) = 25
- Common difference (d) = 5
- Last term

- First we find the number of terms that this series has by the following formula:
- Plugging the values of a, d and
, we find.
- Thus, the given series contains 45 terms.
- Next, we find the sum of the given series using the formula given below.
Answer:
x=-6
Step-by-step explanation:
(8x-15)=(3x-45)
Answer:
C. Correct, because for the work to be carried out in 5 days, 40 workers are required.
Step-by-step explanation:
The job requires 10 people to work for 20 days. That's 200 worker-days.
In other words,
days × workers = 200 or
workers = 200/days
To get the work done in five days,
workers = 200/5 = 40.
You must hire 40 workers.
B. and D. are wrong. To get the job done in seven days. you must hire 200/7 = 29 workers.