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VikaD [51]
4 years ago
12

Find the area of segment CED given the following information:

Mathematics
2 answers:
Hitman42 [59]4 years ago
6 0
Area of sector CAD = 72 / 360 x pi x 6^2 = 7.2pi = 22.6195 in^2

Therefore, area of segment CED = 22.6195 - 17.18 = 5.44 in^2
ICE Princess25 [194]4 years ago
6 0

Answer: 5.43 square inches

Step-by-step explanation:

Here, the area of triangle ACD = 17.18 square inches,

And, the radius of the triangle having center A = 6 inches

The central angle of the arc CED = 72°

Hence, the area of the sector CAD = \frac{72}{360}\pi (6)^2

= \frac{2592\pi}{360}

= \frac{8138.88}{360}

= 22.608  square inches

Since, the area of CED = The area of sector CAD - Area of triangle ACD

= 22.608 - 17.18

= 5.428 ≈ 5.43 square inches.

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There are 120 choices.

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3 years ago
Find the missing number.
DENIUS [597]

Answer:

20%

Step-by-step explanation:

In the graph, there is a cycle of increasing and decreasing. First, the original circle increases by 25% into the new, larger circle. Then, the circle does back to its original size. So, to solve we can assign a value to the smaller circle, increase it by 25%, and then find what percentage brings this back to the original value.

It is easiest to assign the value of 100 because it is easy to work with. So, let's say the smaller circle is 100; this increased by 25% is 125. The next step is to find what percentage of 125 brings us back to 100. There are multiple ways to do this such as guess and check or proportions/fractions. Either way, the correct percentage is 20%. If you decrease 125 by 20% you get the correct value of 100. This means that the missing number must be 20%.

6 0
2 years ago
How to solve derivative of (sin3x)/x using first principle ​
Leona [35]

\dfrac{d}{dx}(\dfrac{\sin(3x)}{x})

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(\dfrac{f}{g})'=\dfrac{f'g-g'f}{g^2}

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\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}

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r3t40

7 0
3 years ago
Read 2 more answers
A light bulb factory produces 922 light bulbs every hour. Approximately 3.34% of the light bulbs are defective, and do not work.
Nikitich [7]

Answer:

The value is  \sigma = 5.46  

Step-by-step explanation:

From the question we are told that

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  The proportion of the bulb that are defective is  p =  0.0334

  Generally given from the question that we should use binomial distribution it then means that the standard deviation is mathematically evaluated as  

           \sigma = \sqrt{ n  *  p  (1-p)}

=>         \sigma = \sqrt{ 922  *  0.0334 *  (1-0.0334)}

=>         \sigma = 5.46  

8 0
3 years ago
What is the surface area of a conical (cone) grain storage tank that has a height of 24 meters and a diameter of 16 meters?
nirvana33 [79]
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Surface of its base is a circle which surface we will calculate like this:
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Surface of mantle we calculate by:
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Total suface is:
Sb + Sm = 836.8m^2
3 0
3 years ago
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