1st: A pendulum is connected to a rope 3 m long, which is connected to a ceiling 4 m high. The angle between its widest swing and vertical hanging position is . If the pendulum swings out to its widest position in 2 seconds, model the height of the pendulum from the ground using a cosine function, considering vertical to bet = 0.Tonight a full moon is out. The percentage of moon that is visible,

so far, i think i got that the period is 4 and the minimum is 1. i can't find anything else. please help.

2nd:v, according to the number of days from now,d, is modelled by the equation .

a) How many days is there until the new moon (no moon visible)?

b) Including tonight, how many full moons will there be in the next 100 days?

c) How many days will it be until there are five full moons, including tonight’s?

d) Without using trigonometric ratios, write a simple equation that tells how many days away the nextxfull moons are. Why can the equation be so simple and consistent?

Verify my work please? let me know if i'm right or wrong.