Answer:
Step 1:
✔ Cofunction identity
Step 5:
✔ Sine difference identity
Step 6:
✔ Cofunction Identity
Step 7:
✔ Cosine function is even, sine function is odd.
Step-by-step explanation:
Answer: 84
Step-by-step explanation:
When substituting this question into an algebraic equation you can write it as:
21=.25x
(x clearly represents the number you are trying to find)
When you divide both sides by .25 to isolate x you get x=84
Answer:
none
Step-by-step explanation:
All of the numbers in the set shown here have a finite number of digits, hence are rational.
There are no irrational numbers in the set.
Answer: $5100
Step-by-step explanation:
Given, The prize money starts at $20 for the first question.
Let a= 20,
Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.
i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....
That is its is an geometric progression with the common ratio r= 2,
Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100
Answer:
30
Step-by-step explanation:
62 = 2x + 2
62 - 2 = 2x
60 = 2x
x = 30