Answer:100$
Step-by-step explanation: since the violin was 50 % off, that just means that the price it is is half of what it normally was , so you just multiple the fifty by 2 to get your answer which is that the violin cost 100$
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.
The perimeter of the entire rectangle is 12 cm.
2) EF is congruent to OP
3) angle P is congruent to angle F
4) angle G is congruent to angle Q (that weird upside down parentheses, I think that is a Q)
5) measure of angle O equals 110 degrees and it equals the measure of angle E
6)QO equals GE and it is 7km
7) triangle GFE is congruent to triangle QPO
Answer:A
Step-by-step explanation: