The perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have shown a square in which a one-fourth circle is shown and making an ellipse.
The perimeter of the circle = 2πr = 2π(8) = 16π cm
The perimeter of the one-fourth is circle = (16π)/4 = 4π cm
The perimeter of 2 one-fourth circle = 2(4π) = 8π cm
The area of the one-fourth circle = (1/4)πr² = (1/4)π(8)² = 16π square cm
The area of the right-angle triangle = (1/2)(8)(8) = 32 square cm
The area of the shaded region = 2(16π - 32) = 36.53 square cm
or
= 32(π - 2)cm²
Thus, the perimeter of the shaded region is 8π cm and the area of the shaded region is 32(π - 2) cm² or 36.53 square cm.
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Answer:
314 million
Step-by-step explanation:
Given that :
Number of motor vehicle in the U.S for every 1000 people = 828
If the number of motor vehicle in the United States = 260 million
Then,
Let x = number of people Given number of vehicles = 260,000,000
1000 people = 828 vehicles
x = 260,000,000
828x = (260,000,000 * 1000)
828x = 260,000,000,000
x = 314009661. 835
x = 314 million (approx)
Answer:
f (g(x) = f (2x) = 2x + 1 (∵ f (x) = x + 1)
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Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft