Answer: 0.3125 hours
Step-by-step explanation:
The formula for time taken to cover a distance is:
= Distance / Speed
Distance = 2.5 miles
Speed = 8 miles per hour
Time taken = 2.5 / 8
= 0.3125 hours
In minutes this is:
= 0.3125 * 60 mins
= 19 mins approx
Answer:
3 units
Step-by-step explanation:
using the distance formula
<h3>
Answer: Choice A. 8pi feet</h3>
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
Arc length has a formula that is similar to arc measure, but arc length is expressed in inches or meters or miles, etc., whereas measure is expressed in degrees, like an angle. The formula for each take this into account. Since the arc length is part of the length of the outside of the circle, the formula includes the circumference for a circle.
, where theta is the degree measure of the central angle intersecting the arc you're looking for, and d is the diameter of the circle. Our formula would look like this with the info we have:
which can be simplified to
which can be simplified even further to
. And that's your answer!