Answer: the area of the shaded region is 72.96 ft²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 16 feet
Radius = diameter/2 = 16/2 = 8 feet
Area of circle = 3.14 × 8² = 200.96ft²
The sides of the square are equal. To determine the length of each side of the square, L, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
16² = L² + L²
256 = 2L²
L² = 256/2 = 128
L = √128 ft
Area of the square is
L² = (√128)²
Area = 128 ft²
Area of shaded region is
200.96 - 128 = 72.96 ft²
Answer:
There are many.
Step-by-step explanation:
When you say proportional, you are looking for a ratio that is equivalent to the ratio given. In your case, there are many so you might need to be more specific. But still, we can help you figure it out.
An easy way to do this would be to scale it down to its simplest form and then move upwards. To find proportional ratios, just multiply denominator and the denominator with the same factor.

That is your ratio in its simplest form. Now we can scale up, I'll show you how to do one completely:

That's the same ratio scaled up by a factor of 2.
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That's the ratio given
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Scaled up by a factor of 4
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Scaled up by a factor of 5.
The list goes on and on.
Answer:
8
Step-by-step explanation:
Divide 30 by 3.75 to get 8.
Hope that this helps!
The identity property. the same applies for n*1=n.
Answer:
a) By graphing just one interval of length
. b) Infinite number of angles, c) Infinite times.
Step-by-step explanation:
Any function is periodical when:
, 
Where
is the period of the function. The periodicity of the function allows us to limit the graphing of the function to just an interval of one period and according to the definition, you can expect same output with n different angles (infinite number of angles and same output infinite times).