Answer:
3384
Step-by-step explanation:
The answer is 5.13 in²
Step 1. Calculate the diameter of the circle (d).
Step 2. Calculate the radius of the circle (r).
Step 3. Calculate the area of the circle (A1).
Step 4. Calculate the area of the square (A2).
Step 5. Calculate the difference between two areas (A1 - A2) and divide it by 4 (because there are total 4 segments) to get <span>the area of one segment formed by a square with sides of 6" inscribed in a circle.
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Step 1:
The diameter (d) of the circle is actually the diagonal (D) of the square inscribed in the circle. The diagonal (D) of the square with side a is:
D = a√2 (ratio of 1:1:√2 means side a : side a : diagonal D = 1 : 1 : √2)
If a = 6 in, then D = 6√2 in.
d = D = 6√2 in
Step 2.
The radius (r) of the circle is half of its diameter (d):
r = d/2 = 6√2 / 2 = 3√2 in
Step 3.
The area of the circle (A1) is:
A = π * r²
A = 3.14 * (3√2)² = 3.14 * 3² * (√2)² = 3.14 * 9 * 2 = 56.52 in²
Step 4.
The area of the square (A2) is:
A2 = a²
A2 = 6² = 36 in²
Step 5:
(A1 - A2)/4 = (56.52 - 36)/4 = 20.52/4 = 5.13 in²
Step-by-step explanation:
Given
Model to Actual = 5:9
5cm in Model = 9cm actual
1cm in model = (9/5)cm = 1.8cm
36cm in model = 1.8cm x 36 = 64.8cm
Answer:
B. There is a slightly more even distribution in the numbers in Joan's Group than in Todd's Group. C. Only one number, 28, is the same between the two samples.
Step-by-step explanation:Your welcome loves :)
The discriminant of equation ax^2+bx+c = 0 is b^2-4ac.
Here b = 12, a = -4, c = -9 so discriminatn is
b^2-4ac = 12^2-4(-4)(-9) = 144 - 144 = 0.
The discrimant is 0. This tells us that there is only 1 x-intercept for this quadratic