Task #2: ants and sloths
a common black worker ant can move around 3 inches per second and typically lives for 3-5
months. three-toed sloths typically live between 20-30 years and usually trek no more than 125
feet in a day.
would you expect a common black worker ant or a three-toed sloth to travel farther in their
lifetime?

The answer is that black worker ant travels farther than three-toed sloth.

Step-by-step explanation:

Step 1:

Calculate distance travel by ant in maximum life time that is 5 months:

Convert seconds into hour:

60*60=3,600 seconds in an hour

Find out how many seconds are there in an hour:

3,600*24 = 86,400 seconds in 24 hours/a day

Ant moves 3 inches in 1 second so below is the calculation for movement in a day:

3*86,400 = 259,200 inches/day

Convert inches to feet:

1 ft = 12 in

1 in = 1/12 ft

259,200 in = 259,200/12 ft

259,200 in = 21,600 ft

Hence, ant moves 21,600 ft in a day

Calculate for 5 months:

Days in 5 months = 30*5 = 150

Distance in 5 months = 150*21600

Distance covered by ant in a lifetime = 3,240,000 ft

Step 2:  

Calculate distance travel by sloth in maximum life time that is 30 years:

Covert years to months:

30*12 = 360 months

Convert months to days:

360*30 = 10800 days

Calculate distance for 30 years:

Sloth moves 125 ft in a day so below is the calculation for lifetime:

10800*125 = 1,350,000 ft

Since, 3,240,000 ft is greater than 1,350,000 ft, hence proved that black worker ant travels farther than three-toed sloth.

angle q= 92 degree

step-by-step explanation:

the solution is in the picture

when a quadrilateral is inscribed in a circle, the opposite angles are supplement to each other. in other words, the sum of the 2 angle is 180 degree

on your paper it doesn't say the answer but the the answer is altitude

step-by-step explanation: