DO NOT POST UNUSEFUL ANSWERS! Serious answers only! A softball has a circumference of 12 inches. What is the softballs approxima
2 answers:
Answer:
The answer would be 29.18 in³
Step-by-step explanation:
First we have to find the radius to figure out the volume of the softball.
Since we have the circumference of the softball, we would divide the total amount by pi, and then divide the answer by 2 (because radius is half of diameter). After this you would take the radius, raise it to the power of 3, and then multiply it by 4/3 and pi. This is because the volume of a sphere is:
V=
πr³.
After substituting in everything, we would get our final answer of 29.18 in³.
(If you thought my answer was good, pls consider giving me a Brainliest!)
You might be interested in
Answer:
See the proof below.
Step-by-step explanation:
What we need to proof is this: "Assuming X a vector space over a scalar field C. Let X= {x1,x2,....,xn} a set of vectors in X, where . If the set X is linearly dependent if and only if at least one of the vectors in X can be written as a linear combination of the other vectors"
Proof
Since we have a if and only if w need to proof the statement on the two possible ways.
If X is linearly dependent, then a vector is a linear combination
We suppose the set is linearly dependent, so then by definition we have scalars
in C such that:
And not all the scalars are equal to 0.
Since at least one constant is non zero we can assume for example that , and we have this:
We can divide by c1 since we assume that and we have this:
And as we can see the vector can be written a a linear combination of the remaining vectors
. We select v1 but we can select any vector and we get the same result.
If a vector is a linear combination, then X is linearly dependent
We assume on this case that X is a linear combination of the remaining vectors, as on the last part we can assume that we select and we have this:
For scalars defined in C. So then we have this:
So then we can conclude that the set X is linearly dependent.
And that complet the proof for this case.