Circle P and circle Q are similar. What is the scale factor which converts P to Q?

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

5 0

Answer:

The correct option is C and the scale factor which converts P to Q is 3.

Step-by-step explanation:

From the figure it is clear that the diameter of circle P is 1.5 feet and the diameter of circle Q is 4.5 feet.

Circle P is pre-image and circle Q is image.

Scale factor is the proportion of diameter of image and pre-image.

$k=\frac{4.5}{1.5}$

$k=3$

Therefore the scale factor which converts P to Q is 3 and correct option is C.

andriy [413]3 years ago

3 0

Answer: C

Step-by-step explanation:

To find the scale factor between circle P and circle Q, divide the diameter of circle Q by the diameter of circle P, 4.5 ft÷1.5 ft = 3. The scale factor between circle P and circle Q is 3.

You might be interested in

What are the coordinates of point B?

zaharov [31]

Point a is at (-2,4) => (x1,y1)

Midpoint is (2.5, 3.5) => (a,b)

Point B is (x2, y2)

To find midpoint we use formula

$(a=\frac{x_1+x_2}{2} , b= \frac{y_1+y_2}{2})$

a= 2.5, b= 3.5, x1= -2 and y1= 4

Plug in all the values and findout x2, y2

$(2.5=\frac{-2+x_2}{2} , 3.5= \frac{4+y_2}{2})$

multiply 2 on both sides to remove fraction

(5 = -2+x2 , 7 = 4+ y2)

5 = -2+x2, so x2= 7

7 = 4+ y2, so y2= 3

The point B is ( 7, 3)

3 0

3 years ago

Select the correct locations on the graph<br><br> select the lines that represent functions

SpyIntel [72]

Step-by-step explanation:

Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.

The lines outlined in a black box are the correct answers.