You need to find the volume so,
= volume. So then we need the radius which would be 5. So,
= about 523.3 cm cubed
Answer:
See image below
Step-by-step explanation:
We want to draw a line through all points with a y-coordinate of -3; first let's observe some of these points: (-3,-3), (0,-3), (1,-3), (10,-3) are all part of this line.
We can see that what all these points have in common are that they have -3 in the y axis. Therefore, the graph of the line would be y = -3
This line is drawn in the graph below.
Diameter of the basketball rim = 18 inches
Circumference of the standard basketball = 30 inches
Area of circle = π r²
Basketball rim = 3.14 * (18/2)² = 3.14 * 9² = 3.14 * 81 = 254.34 in²
Circumference of a circle = 2 π r
30 = 2 * 3.14 * r
r = 30 / (2*3.14) = 30 / 6.28 = 4.78 inches
Standard basketball = 3.14 * (4.78)² = 3.14 * 22.85 = 71.75 in²
254.34 - 71.75 = 182.59 in²
In linear algebra, the rank of a matrix
A
A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of
A
A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by
A
A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.
The rank is commonly denoted by
rank
(
A
)
{\displaystyle \operatorname {rank} (A)} or
rk
(
A
)
{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in
rank
A
{\displaystyle \operatorname {rank} A}.
