5 People can be chosen in 1287 ways if the order in which they are chosen is not important.
Step-by-step explanation:
Given:
Total number of students= 13
Number of Students to be selected= 5
To Find :
The number of ways in which the 5 people can be selected=?
Solution:
Let us use the permutation and combination to solve this problem

So here , n =13 and r=5 ,
So after putting the value of n and r , the equation will be





Answer:
Step-by-step explanation:
Answer:
216π in²
Step-by-step explanation:
Base area = π × r²
36 π = π × r²
r² = 36
r = 6
Volume = base area × height
432 π = 36 π × height
height = 12
Surface area:
2 × π × r × (r + h)
2π × 6 × (6 + 12)
216π
Let the total bill be x. We have:
<span>0.15x > 21 <-- Since 15% is 0.15 using inequality calc. x </span>>$140
There exists a trigonometric identity which states that,
sin (A - B) = sin A cos B - cos A sin B
This is very similar to the given expression with A equal to 57° and B equal to 13°. The simplified form of the angle is,
sin (57° - 13°) = sin 44°