Answer: 24ft squared
Step-by-step explanation:
8x3 = 24
Answer: 0.82 laps per minute
Step-by-step explanation:
Lin is running 21 laps in 25.6 minutes.
To find out her speed in laps per minute, divide the distance she has ran by the time it took her to run it.
= Distance / time
= 21 / 25.6
= 0.82 laps per minute
Answer:
22
Step-by-step explanation:
add everything in the parentheses first, then multiply by 1/2 (or divide by 2)
(28 + 7 + 6 + 3) x 1/2 = 44 x 1/2 = 22
Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
The answer is a.0
Concentric means these circles would have the same center, thus, the smaller circle must be inside the bigger circle. Any tangent line to the smaller circle wont be a tangent line to the bigger circle, since that tangent line would intersect at the bigger circle at 2 points. Any tangent line to the big circle will not touch the small circle... so the answer would be 0.
