Answer:
48 ways
Step-by-step explanation:
There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.
For a vector-valued function

the matrix of partial derivatives (a.k.a. the Jacobian) is the
matrix in which the
-th entry is the derivative of
with respect to
:

So we have
(a)

(b)

(c)

(d)

The <em>correct answer</em> is:
Florian has the correct side lengths because the measurements fit the triangle inequality rule.
Explanation:
The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side.
For Florian's measurements, we have:
6+8 > 10
6+10 > 8
8+10 > 6
These measurements work.
Conversely, Michelle's measurements:
7+7 = 14.
This is not greater than, so this does not work.