Answer:
11.7916666667
Step-by-step explanation:
Answer:
Radius length: √5
Standard Form (Equation): (x + 4)^2 + y^2 = 5
Step-by-step explanation:
First we will determine the radius;
Center: (-4, 0)
Point on Circumference: (-2, 1)
d = √(-2 - (-4))^2 + (1 - 0)^2 = √(2)^2 + (1)^2
= √4 + 1 = √5
Therefore the radius is of length √5
Now the equation of a circle is in the form ((x - h)^2 + (y - k)^2) = r^2. The center is in the form (h,k) and r is the radius. Given this our equation would be (x - (-4))^2 + (y - 0)^2 = (√5)^2, or [simplified] (x + 4)^2 + y^2 = 5.
The area formula of a circle is 
× π.
With that being said, we can solve both problems!
Starting with part A:
-The radius we know is 21cm. From there, we can substitute in our formula with the new value.
x π
From there, we can square our radius:
(21 x 21) x π
(441) x π
And finally, we can multiply by pi to get our answer.
(441) x π
1385.44236023
Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.
The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!
<em>Hope this helped! :)</em>
Answer:
The statistical question should be
"how many minutes do I exercise on each day of the week" and "how many minutes do I exercise each day of the week whilst there is background music"
Step-by-step explanation:
Here we have the non statistical question, how many minutes do I exercise each day
We note that a statistical question is one in which there are are different variety answers, where the distribution and the inclination of the the answers is sought
Therefore, statistically, we should ask, "how many minutes do I exercise on each day of the week" or "how many minutes do I exercise each day of the week whilst there is background music".
Answer: n = -4
3n - 3 = 4n + 1
Add 3 to both sides
3n = 4n + 4
Subtract 4n from both sides
-n = 4
Divide by -1 on both sides
n = -4
