Answer:
x = 10
y = 6
Step-by-step explanation:
<u>Vertical Angle Theorem</u>: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
<u>Linear pair:</u> Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
There are 7 keys in each octave (C,D,E,F,G,A and B) so it would make sense to divide 52 to 7.
52/7=7 octaves and 3 extra kets
Answer:
1.25 seconds
Step-by-step explanation:
Cosine is a maximum at cos(0) = 1, and a minimum at cos(π) = -1.
At the maximum:
8π/5 t = 0
t = 0
At the minimum:
8π/5 t = π
t = 5/8
t = 0.625
The time from maximum to minimum is 0.625 seconds. Therefore, the time from minimum back to maximum is also 0.625 seconds. So the total time is:
0.625 + 0.625 = 1.25
