the least possible quotient of the two numbers would be C.) 111
Answer:
what do you mean for this question. What do you need help on?
The distance between (-4,3,-6) and the origin is ![\sqrt{61](https://tex.z-dn.net/?f=%5Csqrt%7B61)
<h3>How to determine the distance?</h3>
The point is given as:
(x, y, z) = (-4,3,-6)
The origin is
(x, y, z) = (0,0,0)
The distance between the point and the origin is calculated as:
![d = \sqrt{x^2 + y^2 + z^2](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7Bx%5E2%20%2B%20y%5E2%20%2B%20z%5E2)
So, we have:
![d = \sqrt{(-4)^2 + (3)^2 + (-6)^2](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-4%29%5E2%20%2B%20%283%29%5E2%20%2B%20%28-6%29%5E2)
Evaluate
![d = \sqrt{61](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B61)
Hence, the distance between (-4,3,-6) and the origin is ![\sqrt{61](https://tex.z-dn.net/?f=%5Csqrt%7B61)
Read more about distance at:
brainly.com/question/7243416
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Answer:
A:C = 9:20
Step-by-step explanation:
The ratio of the surface area of similar solid is equal to the square of the ratio of their corresponding linear measures. If the ratio of their corresponding linear measures is a:b, the surface area ratio will be (a/b)². Therefore,
(A/B )² = 9/16
square root both sides
A/B = √9/√16
A/B = 3/4
A:B = 3:4
The ratio of volume of two similar solid is the ratio cube of their corresponding linear measures. Therefore,
(B/C)³ = 27/125
cube root both sides
B/C = 3/5
B:C = 3:5
To make the ratio equivalent
A:B:C = 9:12:20
A:C = 9:20