Answer:
Radius: 7.75; Volume: 142 (rounded to 3 s.f.)
Step-by-step explanation:
The vollyball is a sphere.
The diameter of a sphere is twice as much as its radius.
Radius = 15.5 ÷ 2
= 7.75
The volume of a sphere is 
r² where r is the radius.
Volume = (7.75)²
= 45.046875
= 142 (rounded to 3 s.f.)
Two lines are perpendicular if and only if the two lines intersect at right angles. If a point is in fourth quadrant,then it coordinates at negative. If thecoordinates are negative, then thepoint is in the fourth quadrant. If a figure is a triangle, then it has three sides.
Answer:
da baby
Step-by-step explanation:
covirtible
Answer:
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Step-by-step explanation:
Question: If the subspace of all solutions of
Ax = 0
has a basis consisting of vectors and if A is a matrix, what is the rank of A.
Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.
Assume: The number of vectors is 3, and the dimension is 5 × 8.
Answer:
The rank of the matrix A is 5.
Step-by-step explanation:
In the standard basis of the linear transformation:
f : R^8 → R^5, x↦Ax
the matrix A is a representation.
and the dimension of kernel of A, written as dim(kerA) is 3.
By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.
That is:
rank(A) = dim(R^8) - dim(kerA)
= 8 - 3
= 5
