All categories

3 years ago

How are the radius and diameter of a circle related?

Mathematics

2 answers:

antiseptic1488 [7]3 years ago

6 0

The radius is always half the diameter. So, your answer is A.

Readme [11.4K]3 years ago

4 0

Answer:

The answer is A) because the radius is 1/2 of the diameter.

Step-by-step explanation:

You might be interested in

I need this answer as fast as i can get it

Stella [2.4K]

Answer:

Try B. I believe that is the answer

Explanation:

4 0

3 years ago

Read 2 more answers

Write the equation of the given circle. center (1, -5) radius of 10

Ksenya-84 [330]

The circle equation is in the format (x – h)2 + (y – k)2= r2, with the center being at the point (h, k) and the radius being "r".

Therefore (x – 1)2 + (y +5)2= 102
x2 + y2 + 1 - 2x + 25 + 10y = 100
x2 + y2 - 2x + 10y = 74

6 0

3 years ago

Polygon ABCD is reflected and dilated to give polygon PQRS. The coordinates of the preimage are (2, 2), (6, 8), (12, 8), and (16

HACTEHA [7]

Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

But when we talk about dilation it affects the length of sides according to the scale factor or a constant factor.

If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

$|A'B'|=k\times |AB|$ .... (1)

So we have to find any side length of preimage and the side length of that side in image. it means we have to find AB and PQ.

Use distance formula to find the side length.

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$AB=\sqrt{(8-2)^2+(6-2)^2}=\sqrt{36+16}=2\sqrt{13}$

$PQ=\sqrt{(9-11)^2+(12-15)^2}=\sqrt{4+9}=\sqrt{13}$

It is noticed that the size of side in preimage is $2\sqrt{13}$ and the size of same side in image is $\sqrt{13}$ .

Using equation (1), we get

$\sqrt{13}=k \times 2\sqrt{13}$

$k=\frac{1}{2}$

$k=0.5$

Hence, the value of scale factor is 0.5.

7 0

3 years ago

Read 2 more answers

Jessie graphed one of the lines in a system of equations: Y=3x-2 If the system has an infinite number of solutions, which statem

katen-ka-za [31]

Answer:

2, 4, and 5

Step-by-step explanation:

There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.

5 0

3 years ago

Read 2 more answers

the graph shows the total number of comic books in brandon's collection at the end of every month for the year 2014

saw5 [17]

Answer:

Step-by-step explanation:

8 0

3 years ago