We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
<u>Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.</u>
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - <u>This makes the area of circle present with a diameter of 4 inches, 4π.</u>
Answer:

Step-by-step explanation:
It's important to note that when two angles create a straight line, they are supplementary.
This means their angle measures add up to 180° since a 180° angle is a straight line.
Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

Combine like terms:

Subtract 27 from both sides:

Divide both sides by 9:

So x = 17.
Hope this helped!
Answer:
The z-score corresponding to an observed value of x of 2 is 0.215.
Step-by-step explanation:
We are given that a variable x has the possible observations shown below;
Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.
Firstly, we will find the mean and the standard deviation of X, i.e;
Mean of X, (
) =
=
=
= 1.44
Standard deviation of X, (
) =
=
= 2.603
Now, the z-score corresponding to an observed value of x of 2 is given by;
z-score =
=
= <u>0.215.</u>
Answer:
h=a/b and the sencond one is 5ft
Step-by-step explanation:
1. isolate the varibles by dividing each side by factors that dont conatin the varible.
2. do 45 divied by 9.
The right answer is congruent and complementary because they both are different from each other and different causes