Answer: 142506
Step-by-step explanation:
Given : The total number of choices for people in committee = 30
The number of people need to be chosen =5
Since , here order doesn't matter, so we use combination.
The combination of r things taking from n at a time is given by :-
Now, the number of possible combinations of 5 people be chosen from a total of 30 possible people :-
Hence, the committee can be made in 142506 ways.
Answer:
We have to prove
sin(α+β)-sin(α-β)=2 cos α sin β
We will take the left hand side to prove it equal to right hand side
So,
=sin(α+β)-sin(α-β) Eqn 1
We will use the following identities:
sin(α+β)=sin α cos β+cos α sin β
and
sin(α-β)=sin α cos β-cos α sin β
Putting the identities in eqn 1
=sin(α+β)-sin(α-β)
=[ sin α cos β+cos α sin β ]-[sin α cos β-cos α sin β ]
=sin α cos β+cos α sin β- sinα cos β+cos α sin β
sinα cosβ will be cancelled.
=cos α sin β+ cos α sin β
=2 cos α sin β
Hence,
sin(α+β)-sin(α-β)=2 cos α sin β
Answer:
Step-by-step explanation:
The total cost that farmer McHenry assumes to sell his tomatoes at the farmer´s market includes: the gas, the stand and the price tags. The expression is the following:
Total cost = $2,50 + $1 + $0.50
Total cost = $4
Farmer McHenry's revenue depends on the number of tomatoes he sells:
Revenue (t)= Price* t
Revenue (t)= $0.50(t)
To know how many tomatoes, he must sell so that the cost equals his revenue, you must equal both expressions and then find t:
$4=$0.50 (t)
t= $4/$0.50
t= 8
He must sell 8 tomatoes.
Place value of 4 is 4/100
Check the picture below
so.. hmm notice the center h,k and the major and minor axis components, thus just plug them in.
