Answer:
226.2 feet
Step-by-step explanation:
The fence around the dog's house is a circle, with a radius of 12 meters.
To calculate the distance the dog runs, we need to find the circumference of that circle, which is given by the formula:
C = 2 π r, since we know r, the calculation is easy:
C = 2 π 12 = 24 π = 75.4 feet.
The dog makes three laps around the circle before calming down... so he runs 3 times 75.4 feet.
Dogs run = 3 x 75.4 ft = 226.2 feet
Answer:
k = - 2
Step-by-step explanation:
Given α and β are the zeros of x² - 6x + k = 0 , with
a = 1, b = - 6 and c = k , then
α + β = - 
= - 
= 6
αβ = 
= 
= k
Then solving
(α + β)² - 2αβ = 40
6² - 2k = 40
36 - 2k = 40 ( subtract 36 from both sides )
- 2k = 4 ( divide both sides by - 2 )
k = - 2
<u>Answer:</u>
<u>Step-by-step explanation:</u>
To find the solution to the equation, we have to rearrange the equation to make 
the subject:
⇒ 
[Subtracting 2 from both sides]
⇒ 
⇒ 
[Subtracting 
from each side]
⇒ 
⇒ 
[Diving both sides by 213]
⇒
It is easier (for me anyway) to find 10% then work around that.
Following that path would mean that, by making a table:
100% = 220
10% = 22
5% (Which is half the 10) = 11
