Answer:
Step-by-step explanation:
Once we know the diameter of the circle, we can figure out the problem.
The diameter of the circle = The diagonal of the rectangle inscribed in the circle
To find the diagonal of the rectangle, we can use a formula.
The width is 10 cm and the length is 12 cm.
The diagonal of the rectangle inscribed in the circle is 15.62 cm.
The diameter of the circle is 15.62 cm.
Find the area of the whole circle.
The 
is the radius of the circle, to find radius from diameter we can divide the value by 2.
Let’s find the area now.
Find the area of rectangle.
Length × Width.
Subtract the area of the whole circle with the area of rectangle to find area of shaded part.
The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
Read more on quadratic functions;
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Each person would receive 1 and an half cookies.
in other words 1 1/2
The molecules in the sugar dissolved in water. it did not dissociate though, just dissolved. the atoms in each individual molecule stayed in tact, but the intermolecular forces broke apart.
If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523
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nCk = n!/(k!(n-k)!)
