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3 years ago

FC is the diameter of the circle. What is the measure of arc FAD?

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer:

$arc\ FAD=223^o$

Step-by-step explanation:

we know that

The diameter divide a circle into two equal parts

The measure of arc FAC is equal to 180 degrees (Remember that a complete circle subtends a central angle of 360 degrees)

we have that

$arc\ AB=arc\ CD$ ---> given problem

$arc\ AB=m\angle AGB$ ----> by central angle

$m\angle AGB=43^o$ ----> given problem

$arc\ AB=arc\ CD=43^o$

therefore

$arc\ FAD=arc\ FAC+arc\ CD$ ----> by angle addition postulate

substitute

$arc\ FAD=180^o+43^o=223^o$

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elixir [45]

Answer:

First know the formula for the area of a circle;

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our diameter.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, 6 is our radius.

Now we plug this into our formula:

A = π $r^{2}$

A = 3.14(6^2)

A = 3.14(36)

A = 113.04 centimetres is the area of the circle.

For the second problem, we can see that 18 is our diameter.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, 9 is our radius.

Now we plug this into our formula:

A = π $r^{2}$

A = 3.14(9^2)

A = 3.14(81)

A = 254.34 inches is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = π $r^{2}$

A = 3.14(5^2)

A = 3.14(25)

A = 78.5 meters is the area for this circle.

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2 years ago

Find the distribution of responses about whether there was broken glass at the accident for the subjects in this study using rel

Lemur [1.5K]

Answer:

Probability of having broken glass = 0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

Treatment

Response Smashed into Hit Control Total

Yes 16 7 6 29

No 34 43 44 121

Total: 50 50 50 150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = $\dfrac{29}{150}$

Probability of having broken glass = 0.1933

Probability of not having broken glass = $\dfrac{121}{150 }$

Probability of not having broken glass = 0.8067

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The area of Lake Victoria in Africa is 26,828 square miles. The area of Lake Michigan in the U.S. is 22,539 square miles. Solve

Artyom0805 [142]

X= 4,289 Just subtract 26828 and 22539

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3 years ago

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Lorico [155]

Answer:

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Step-by-step explanation:

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3 years ago

Consider a single spin of the spinner. Which events are mutually exclusive? Choose all that apply. a)landing on a shaded sector

denis23 [38]

Answer: the correct options are b and d.

Step-by-step explanation:

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3 years ago