Answer:
Step-by-step explanation:
The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:
where theta is the central angle that cuts off the arc we are finding the length of. That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:
Simplifying a bit gives us:
Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches. The first choice.
Answer: Evan's family drove 150 miles on the third day.
Explanation:
Because they had driven the same speed throughout the trip, dividing the miles driven by the hours would result in the miles that they drove per hour. 300/6 and 250/5 = 50. So, Evan's family drove 50 miles per hour. To solve for the hours driven on the third day, you need to multiply the hours driven by the miles that were driven per hour.
3 hrs. x mph (miles per hour) = miles driven on the third day
Hope this helps! Sorry, I don't have the time to reread my answer, but I'm positive that it'll make sense to you somewhat.
Round all of the numbers to the nearest 10 then solve the problem like normal
