Answer:
a) E
b) line segment AB
Step-by-step explanation:
a) E
b) line segment AB (It's AB with the line over it - no arrowheads)
<u>We are given:</u>
aᵇ = bᵃ
b = 2a
<u>Finding (a+b):</u>
<u>Finding a:</u>
replacing b by 2a in the first equation, we get:
(a²)ᵃ = (2a)ᵃ
(a²)ᵃ = 2ᵃ * aᵃ
a²ᵃ / aᵃ = 2ᵃ [dividing both sides by aᵃ]
aᵃ = 2ᵃ [because xᵃ / xᵇ = xᵃ⁻ᵇ]
a = 2 [raising both sides to 1/a]
<u>Finding b:</u>
We are given that b = 2a
now that we know what a equals, we will plug that value here
b = 2(2)
b = 4
<u>Finding a+b:</u>
We found that a = 2, b = 4
a + b = 2 + 4 = 6
Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19
Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307
In short, Your Answer would be Option D) 1307 m²
Hope this helps!
Convert to same so it would be 9/12-1/12 9-1=8 so it would be 8/12 and you simplify that to get 2/3 more wool
