The arc length will be found using the formula:
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)
Answer: x = {1, 2}
<u>Step-by-step explanation:</u>
x⁶ - 9x³ + 8 = 0
Let u = x³
⇒ (x³)² - 9(x³)¹ + 8(x³)⁰ = 0
⇒ u² - 9u + 8 = 0
⇒ (u - 1)(u - 8) = 0
⇒ u = 1 or u = 8
Replace u with x³
x³ = 1 or x³ = 8
Take the cubed root of each side
x = 1 or x = 2
2/5 and 1/2 can go into 10.
So, 2/5*2 = 4/10
and, 1/2*5 = 5/10.
Got it?
Possible outcomes
1. H H H
2. T T T
3. H T T
4. H H T
5. T T H
6. T H T
7. H T H
8. T H H
There are 8 possible outcomes.