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Maurinko [17]
3 years ago
7

A circle has a radius r which is a positive integer. If the circumference of the circle divided by the area of the circle is a p

rime number, what is the sum of all possible values for the radius of the circle?
Mathematics
1 answer:
ryzh [129]3 years ago
6 0

The possible value for the radius of the circle is 1 unit

<h3 /><h3>Area and Circumference of a circle </h3>

The formula for calculating the area of a circle is expressed as:

  • A = πr²

The formula for calculating the circumference is expressed as:

  • C = 2πr

where r is the radius of the given circle.

If the circumference of the circle divided by the area of the circle is a prime number, then;

\frac{2 \pi r}{\pi r^2}  = p\\\frac{2}{r} = prime

For the value to the prime and r to be an integer, the possible value for the radius of the circle is 1 unit

Learn more on circles here: brainly.com/question/402655

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Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).
Mariulka [41]

Answer:

\bigl(\frac{3}{2},-5\bigr)

or in decimal form

(1.5,-5)

Step-by-step explanation:

The midpoint of the line with endpoints (x_1,y_1) and (x_2,y_2) is \bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr). just take the average between the points

so given the points (1,0) and (2,-10)

x_1=1

y_1=0

x_2=2

y_2=-10

the midpoint is found as follows:

\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)

\bigl(\frac{1+2}{2},\frac{0-10}{2}\bigr)

\bigl(\frac{3}{2},\frac{-10}{2}\bigr)

\bigl(\frac{3}{2},-5\bigr)

or in decimal form

(1.5,-5)

7 0
3 years ago
If the midpoint of two points is (2,5) and one of the endpoints is (6,3), what is the other endpoint?
aleksley [76]
To answer this question, you need to draw out the graph first. By doing so, you will be able to know where the other endpoint is located. (Fig. 1)

Next, count the number from the midpoint to the endpoint to determine the coordinates for the other endpoint. (Fig. 2)
Example: From (2, 5) to (6, 3)
x: 2 to 6 = 4 steps
y: 5 to 3 = 2 steps

From there, you can determine the other endpoint like this.
Example: From (2, 5) to the other endpoint
x: 2 to x1 = 4 steps
y: 5 to y1 = 2 steps

Therefore, x1 = -2 and y1 = 7
Other endpoint: (-2, 7)

Sorry for the messy drawing, it is hard to draw without a pen. Haha... hope this helps :)





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myrzilka [38]

Answer:

No

Step-by-step explanation:

8 0
3 years ago
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VashaNatasha [74]
I believe the first answer is c

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