Answer:
42
Step-by-step explanation:
<h2>Perimeter of quadrilateral with inscribed circle:</h2>
Two tangents from a point outside the circle to some point to a circle are of equal lengths.
CB = 3+ 5 = 8
CD = 3+ 4 = 7
DA = 4 + 9 = 13
AB = 9+ 5 = 14
Perimeter = 8 + 7 + 13 + 14
= 42
If the glasses hold two cups of liquid then you simply have to remember that there are 8 oz. in one cup.
so 8 times 2 = 16 oz. in two cups
To find the volume of a rectangular prism, you just multiply the length x width x height.
So
1 1/4 x 4 x 3 1/4 = volume (and since they are all centimeters you don't have to worry about converting units)
You can also use decimals instead. So either the above equation or 1.25 x 4 x 3.25 = volume
and if you don't know the decimal for a fraction just pop it into a calculator if you have one, so to find 1/4 as a decimal just do 1 divided by 4 in the calculator. There are ways you can do it without a calculator but it's easier if you have one.
So the volume of this cube would be
16.25
or
16 1/4
You're trying to find constants
such that
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.