Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
Answer:
6,840 casts
Step-by-step explanation:
Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

There are 6,840 possible casts.
Answer:
The full question is attached in the picture below.
The better price for the battery is given with the 6 pack.
(£ 0.47 per battery)
Step-by-step explanation:
If 8 batteries cost £ 3.99
This means that one battery is equal to
£3.99/8 = £ 0.49875 ≈ £ 0.50 per battery
The pack of 6 batteries costs £ 2.79
This means that one battery is equal to
£2.79/6 = £ 0.465 ≈ £ 0.47 per battery
Then, we can conclude than the 6 pack gives us a better price per battery
Written out, this would be (x / 7) - 10 < -6
solved, it would be x < 28