Answer:
60
Step-by-step explanation:
We have been given the matrix;
![\left[\begin{array}{ccc}5&8\\-5&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%268%5C%5C-5%264%5Cend%7Barray%7D%5Cright%5D)
For a 2-by-2 matrix, the determinant is calculated as;
( product of elements in the leading diagonal) - (product of elements in the other diagonal)
determinant = ( 5*4) - (8*-5)
= 20 - (-40) = 60
Answer:
, x = 6 ton
Step-by-step explanation:
The truck can be filled with a total of 20 ton.
There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

Solving it, we find

which means that the most amount of goods that could be added to the truck is 6 tons.
Hello!
The left triangle have two same side length so the two bottom angles are the same which is (180-56)/2=62
See the left triangle bottom right angle and the right triangle bigger angle have the sum of 180 degree so the bigger angle=180-62=118
The right triangle also have two same sides so they also have same angle degree so x=(180-118)/2=31
Have a great day!
Answer:
D. $81,728
Step-by-step explanation:
Let's first convert pounds to ounces.
4 pounds x (16 ounces / pound) = <u>64 ounces.</u> (Remember that when we're converting from a larger unit, pounds, to a smaller one, ounces, we'll have more ounces than pounds, so this answer makes sense!)
Let's now get the cost of the gold.
64 oz x ($1277 / oz) = <u>$81,728.</u> (Wow, that's a lot of gold!)