Answer:
About 126 ft/min
Step-by-step explanation:
We know r = 2 feet, and that the wheel has an angular speed of 10 rpms, or 10 revolutions per minute. Our goal is to get the speed in ft/sec.
10 rev 1 minute 2π radians 2 feet
----------- × ---------------- × ------------------ × ------------
1 minute 60 seconds 1 revolution 1 radian
= 10 * 2π * 2 = 126 ft/minute
The answer is reasonable. Another, simple approach to this would be using the formula 2π * r * rpm. If so, 2π * 2 * 10 which would be 126 ft/minute.
Answer:
U ={ Parallelograms}
A= { Parallelogram with four congruent sides}={ Rhombus,Square}
B ={ Parallelograms with four congruent angles} ={ Rectangle, Square}
So, AB= { Square}
So among all the parallelograms "Square" is the only parallelogram which has all congruent sides as well as all congruent angles.
Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of arc EH
Remember that the measure of the complete circle is equal to 360 degrees
so

Remember that
----> by central angle
----> by central angle
---> by central angle
substitute the given values


step 2
Which arc is congruent to Arc E H?
we know that

therefore
arc EH is congruent with arc EFG
or
arc EH is congruent with minor arc GE
You can round 976 to 1000 and 522 to 500. So it would be
1000 - 500 = 500. The answer you would get after subtracting 976-522 would be more than 400 if you round it.