Answer:
A is correct
Step-by-step explanation:
In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.
Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3
Plugging the value of V = 1000cm^3 , we have
1000 = 4/3 * pi * r^3
3000/4pi = r^3
r^3 = 238.732
r = cube foot of 238.732
r = 6.20cm
This is same as 6.2cm
Line Segment AB<span> ≅ Line Segment DB </span>
Hi there!
In order to solve, we'll need to use a proportion: 20/a = 21/20. Then, we'll cross-multiply and solve to find a: 21a = 400 | a = 19.05. Next, to find b, we can just use pythagorean theorem: 20^2 + (400/21)^2 = b^2 | b = 27.62.
We are using geometric mean to solve for a, then using pythagorean theorem to solve for b. If you need more help with geometric mean, or would like a complete explanation, please let me know! I'd be happy to provide you with that information.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
The dimensions of the rectangle given are
length = 14 meters
Width = 8 meters
The perimeter of the rectangle is given by the sum of its sides
The rectangle has to opposite sides of 14 meters and two opposite sides of 8 meters
Hence adding up the 4 sides we get

Hence option B is the right answer
Answer: -10x (5x^3 - 8x^2 - 3x - 9) is the factored solution.