Answer:
3.44 cm
Step-by-step explanation:
When the pendulum is at its lowest point, the vertical length of the pendulum is L.
When the pendulum is at its highest point, the vertical length of the pendulum is L cos θ.
So the height difference of the pendulum between its lowest and highest points is h = L − L cos θ.
The pendulum swings 72° from right to left, or 36° from the vertical.
The length of the pendulum is 18 cm.
So the height is:
h = L − L cos θ
h = 18 − 18 cos 36°
h = 3.44
Answer:
B
Step-by-step explanation:
Sin 45 = y/(11√6)
1/√2 = y/(11√6)
y= (11√6)/√2
y= 11√3
tan 60 = x/y
√3 = x/y
x = y√3
= (11√3)√3
= 11(3)
= 33
Answer:
10.5 denarii
Step-by-step explanation:
Step 1: Initially Doubled his money in Lucca and spent 12 denarii
Let's assume the initial money he had before he did anything with it is x,
meaning if he doubled it in Lucca he would have (2×x)=2x, he then spent 12 denarii meaning he was left with (2x-12) denarii.
Step 2: In Florence he doubled what was left on leaving Lucca and spent 12
This is expressed as 2(2x-12)-12=4x-24-12=4x-36
(4x-36) denarii is what remained after he left Florence to Pisa
Step 3: In Pisa he doubled what was left on leaving Florence and spent 12 denarii
This is expressed as 2(4x-36)-12=8x-72-12=8x-84
Step 4: After getting back home in Pisa he was left with nothing
This is expressed as; 8x-84=0, 8x=84
solving for x by dividing both sides of the equation by 8
8x/8=84/8
x=10.5 denarii
Answer:
79.3833333333333333333333333333333333333333333333333333333333333333333333333333333333
Step-by-step explanation:
Answer:
Step-by-step explanation: