krystal won 57 lollipops playing basketball for the county fair. She gave three she only has nine remaining. How many students w
1 answer:
You might be interested in
Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
Answer:
10β
Step-by-step explanation:
We can find this two ways, first by seeing in the step after it, cosines are canceled out. Since you already have 10β
on the next step, you can assume that (since only the cosines changed and the cosine next ot the blank was removed), the value is 10
β
.
You can also use double angle formulas from the previous step:
(sin(2β) = 2 sin(β) cos(β))and find that:
5 sin (2β) sin(β) = 5 * (2 sin(β) cos(β)) sin(β)) = (10 sin(β) sin(β)) cos(β) =
10β
cos(β)
But since cos(β) is already present, we can see that the answer is 10β