Surface Area of a Sphere = 4π(d/2)²
Let the smaller sphere's diameter be just a sample of 4 units in diameter and let the large spheres diameter be 4 times that of the smaller sphere.
Small Sphere: 4π(4/2)² = 16π units²
Large Sphere: 4π(16/2)² = 256π units²
256π / 16π = 16 times
The large sphere has a surface area 16 times that of the smaller one.
The approximate length of line segment XY is 20.8 units
<h3>
How to calculate the distance between two points</h3>
The formula for calculating the distance between two points is expressed as:
A = √(x2-x1)²+(y2-y1)²
Given the coordinate points X(–12, –6) and Y(5, 6). The distance between them is expressed as;
XY = √(5+12)²+(6+6)²
XY = √(17)²+(12)²
XY = √269 + 144
XY = 20.8
Hence the approximate length of line segment XY is 20.8 units
Learn more on distance formula here; brainly.com/question/661229
Answer:can you give me more detail
Step-by-step explanation:
You can find the circumference of the circle with the circumference equals 2pir.
circumference=2pi9
circumference=18pi
circumference=56.55 feet
you can then turn the feet into inches by multiplying by 12
(56.55 feet)x(12inches/foot)=678.58 inches
then divide 678.58 inches by 54 inches to find how many light strands are needed.
(678.58 inches)/(54 inches/strand)=12.57 strands
Answer:

Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:

It remains the area of the shaded square with side S.
From the question, we have the following ratio:
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is 
Therefore, the total area of the shaded squares is
