Answer:
Explanation:
Let x be the age of the person who enter the room
(18 + 25 + 18 + 21 + 16 + x)/6 = 25
(77 + x)/6 = 25
77 + x = 25(6)
77 + x = 150
x = 150 - 77
x = 73
![\left[\begin{array}{ccc}5\\3\\2\end{array}\right] \times[5 \ \ \ 3 \ \ \ 2]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C3%5C%5C2%5Cend%7Barray%7D%5Cright%5D%20%5Ctimes%5B5%20%5C%20%5C%20%5C%203%20%5C%20%5C%20%5C%202%5D)
Matrix multiplications are defined if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Multiply the first element of the array by the first element of the second array to get the element of the first row of the first column in the product array.

The remaining elements of the product matrix are obtained in the same way.

Simplify each item by multiplying the individual terms.


Each of the options on the list gives you a point on the graph. If the point lies within the shaded region, the pizza maker can use that particular combo. I've plotted each of the associated points in the picture below. As you can see, only one point - the point (43, 25) representing 43 pepperoni slices and 25 cheese slices - falls within the shaded region.
Answer:
160°
Step-by-step explanation:
1/2 (Major arc AB - Minor arc AB) = 20°
Major arc AB = 200°
Minor arc AB = 160°
central angle = minor arc AB = 160°
Answer:
84
Step-by-step explanation:
This is in the form
ax^2 + bx +c
3x^2 +12x +5
a =3 b = 12 c =5
The discriminant is
b^2 - 4ac
12^2 - 4 * 3 *5
144 - 60
84