2. Joe's heart beats 70 beats per minute. a. How many times will his heart beat in 20 years? Ignore leap years. Show your work. b. If Joe's heart beats 1,200,703 times, how much time has elapsed? Show your work.

a) Joel's heart will be 735,840,000 times in 20 years

b) = 11.91 days

=12 days Appropriately

Step-by-step explanation:

Let's recall our nursery rhymes to help us here...

60 seconds = 1 minutes

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

4 weeks = 1 month

30 /31 days = 1 month

12 months = 1 year

240 months = 20 years

Let's kick further to the question now:

To know the number of times Joe's heart beats in 20 years,we must know how many minutes are in 20 years, since the question said his heart beats 70 times per minutes.

60 minutes = 1 hour

1440 minutes i.e (60 * 24) = 1 day

525600 minutes = 1 year

Therefore, in 20 years there will be

525600 * 20 minutes

= 10512000 minutes.

a: Joel's heart beat

70 times = 1 minutes

X times = 20 years (10512000 minutes)

Cross Multiply...

70 * 1051200 minutes

= 735,840,000

Joel's heart will be 735,840,000 times in 20 years

b) If Joel's heart beats for 1,200,703 times ,

It means that it beaten for:

1,200,703 / 70 times

= 17152.9 minutes

= 17152.9/ 1440 days

= 11.91

=12 days Appropriately

Step-by-step explanation:

Joe's heart beats 70 beats per minute.

a) There are 60 minutes in an hour.

It means that the number of heart beats per hour is

70 × 60 = 4200 times

There are 24 hours in a day. It means that the number of heart beats in a day is

24 × 4200 = 100800 times

Assuming there are 365 days in a year, then the number of times that his heart will beat in a year is

100800 × 365 = 36792000 times

Therefore, the number of times his heart will beat in 20 years is

20 × 36792000 = 735840000 times

b) If Joe's heart beats 1200703 times, the time that would have elapsed is

36792000/1200703 = 30.6 years

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

b. b < 1 might be the correct answer