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2 years ago

What is the geometric definition of a circle

2 answers:

4 0

A circle is the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.

In addition, all radii of a given circle are congruent.

Mazyrski [523]2 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

A circle is a figure where all of the points on its graph are equidistant from a single, central point. You can define a circle in a plane with the formula (x-h)^2+(y-k)^2=r^2, where h represents the x coordinate of the center, k represents the y coordinate, and r represents the radius. Hope this helps, and feel free to ask for more clarification!

You might be interested in

Which of the following is an even function?

12345 [234]

Answer:

B. g(x) = 2x² + 1

Step-by-step explanation:

Even function has following property:

g(x) = g(-x)

It is easy to show this works with the second choice only. All the others don't work:

g(x) = (x - 1)² + 1
g(-x) = (-x - 1)² + 1

This is not correct as x - 1 ≠ -x - 1 so as their squares, so g(x) ≠ g(-x)

The last two choices are not even similarly.

6 0

2 years ago

Please help me to answer this question.

12345 [234]

Answer:

456,976,000

Step-by-step explanation:

The total number of possibilities is the product of the number of possibilities in each of the character positions:

10 · 10 · 10 · 26 · 26 · 26 · 26

= 10^3 · 26^4 = 456,976,000

5 0

3 years ago

The weight of people in a small town in Missouri is known to be normally distributed with a mean of 186 pounds and a standard de

OleMash [197]

Answer:

the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

Step-by-step explanation:

The summary of the given statistical data set are:

Sample Mean = 186

Standard deviation = 29

Maximum capacity 3,417 pounds or 17 persons.

sample size = 17

population mean =3417

The objective is to determine the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds

In order to do that;

Let assume X to be the random variable that follows the normal distribution;

where;

Mean $\mu$ = 186 × 17 = 3162

Standard deviation = $29* \sqrt{17}$

Standard deviation = 119.57

$P(X>3417) = P(\dfrac{X - \mu}{\sigma}>\dfrac{X - \mu}{\sigma})$

$P(X>3417) = P(\dfrac{3417 - \mu}{\sigma}>\dfrac{3417 - 3162}{119.57})$

$P(X>3417) = P(Z>\dfrac{255}{119.57})$

$P(X>3417) = P(Z>2.133)$

$P(X>3417) =1- 0.9834$

$P(X>3417) =0.0166$

Therefore; the probability that a random sample of 17 persons will exceed the weight limit of 3,417 pounds is 0.0166

5 0

3 years ago

Kiran read for x minutes, and Andre read for 5/8 more than that. Write an equation that relates the number of minutes Kiran read

Liula [17]

Answer: $y = 1.625 x$

Step-by-step explanation:

Here x represents the time taken by Kiran in reading (in minutes) and y represents the time taken by Andrew in reading (in minutes).

According to the question,

Andre read for 5/8 more than kiran.

Thus, The time taken by Andrew(in minutes) = time taken by kiran + 5/8 of time taken by kiran

= $x + \frac{5}{8}\times x$

= $\frac{8}{8} + \frac{5}{8}$

= $\frac{13x}{8}$

= $1.625 x$

Thus, required equation,

$y = 1.625 x$

7 0

3 years ago

Read 2 more answers

At an ice cream shops there are 3 different flavors of ice cream and 10 different toppings. What is the probability of the next

damaskus [11]

Answer:

1/30 = 3.33%

Step-by-step explanation:

There are 3 different flavors available and the favorable outcome is only strawberry flavor. There are 10 toppings and the favorable outcome is sprinkle. To calculate the probability for the two events, you just need to multiply both. The calculation will be:

P(strawberry) * P(sprinkle) = 1/3 * 1/10= 1/30

4 0

3 years ago