Alarge grandfather clock strikes its bell once at 1: 00, twice at 2: 00, three times at 3: 00, etcetera. what is the total number of times the bell will be struck in a day? use an arithmetic series to solve the problem and show how you arrived at your answer.

Step-by-step explanation:

Basically, to solve this problem we just have to sum:

But, using an arithmetic series, we have to use this formula:

Where, is the total number of elements (in this case is 24), is the first element (1) and is the last element (24), because a day has 24 hours.

So, replacing all variables, we have:

Therefore, the bell will be struck 300 times per day.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet