Since you didn't give the original picture, I can only explain the process. Then, you need to select the correct point.
In a dilation, we multiply the coordinates by the scale factor. Take the points that you have and multiply them all by 4. Then, look for a point making your new coordinates.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
Mean = 10
Sample size = 9
Standard deviation = 6
We need to find the upper and lower control limits.
so, Lower limit would be

Upper limit would be

Hence, Third option is correct.
<u>Given</u>:
Given that the regular decagon has sides that are 8 cm long.
We need to determine the area of the regular decagon.
<u>Area of the regular decagon:</u>
The area of the regular decagon can be determined using the formula,

where s is the length of the side and n is the number of sides.
Substituting s = 8 and n = 10, we get;

Simplifying, we get;




Rounding off to the nearest whole number, we get;

Thus, the area of the regular decagon is 642 cm²
Hence, Option B is the correct answer.
Answer:
(b) Radius of the sphere = 5 units.
Step-by-step explanation:
Here, given:
The volume of the sphere =
cubic units ... (1)
Also, radius of the sphere = x units
Now, VOLUME OF SPHERE = 
So, volume of a sphere with radius x = 
But volume of sphere is given by (1).

Hence, radius of the sphere = 5 units.