Answer:

Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector
Remember that
The area of the circle subtends a central angle of 360 degrees
so
using proportion
Find out the area of a sector with a central angle of 108 degrees

assume

substitute

Answer:
The probability that you will choose a consonant and then a vowel is 0.21....
Step-by-step explanation:
Total no of tiles = 28 + 12 = 40
First you should choose a consonant = 12/40
Second you should choose a vowel = 28/40
So the probability you choose a consonant and then a vowel:
= 12/40 * 28/40
=336/1600
=0.21
So the probability that you will choose a consonant and then a vowel is 0.21....
Answer:
rotation 90° CW about the origin we defined
Step-by-step explanation:
The image has the same orientation (clockwise order of vertices) as the pre-image, so an even number of reflections is involved. These cannot be reflections across the x- or y-axes. The longest edge has an east-west orientation in the pre-image and a south-north orientation in the image. Any reflections must have a net effect of a rotation 90° CW.
Equivalently, the image is rotated 90° clockwise from the pre-image.
With a suitable choice of center of rotation, the image can be obtained with a single 90° CW rotation transformation.
If we define the lower left corner of the pre-image as having coordinates (-1, 2), then a 90° CW rotation about (0, 0) will yield the image.
Answer: The correct answer will be C. (Since the last comment got deleted smh)