Answer:
608 cm^2
Step-by-step explanation:
<em>Top and bottom rectangles: </em>
2(10*16)
= 2(160)
= 320
<em>Middle rectangle:</em>
(12*16)
= 192
<em>Two triangles:</em>
2((12*8)/2)
= 2(96/2)
= 96
<em>Surface area of the whole prism:</em>
320 + 192 +96
= 608
Answer:
See diagram below. This is a relation and not a function.
Step-by-step explanation:
An arrow diagram has two ovals - one for x -values and one for y-values. Inside the ovals, all values ONLY appear ONCE and generally from least to greatest. Then draw an arrow from each value to its matching value from input to output according to the table.
Be sure to draw two ovals around the lists below:
Inputs Outputs
1 ----------------> 2
11 -----------------> (POINTS DIAGONAL TO 2)
15 -----------------> 12
16 ------------------> 32
This is not a function because each output must only match to one input. The output 2 matches to both 1 and 11. This is a relation.
The number of trays that contain both a cup and a plate = 11.
<h3>What are sets?</h3>
A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind
To find the elements in the sets A and B, we refer to the formula:
n(A) + n(B) - n(A∪B) = n(A∩B),
where,
- n(A) = number of elements in set A,
- n(B) = number of elements in set B,
- n(A∪B) = number of elements that are either in set A or B,
- n(A∩B) = number of elements that are in both the sets A and B.
Given:
- Number of trays on a table: 25
- Each tray has either:
- only a cup
- only a plate
- both cup and plate
- Trays containing cups = 15
- Trays containing plates = 21
To find: number of trays containing both cup and plate.
Finding:
Let the number of trays containing cups be C and those containing plate be P.
Then, n(C) = number of tray containing only cups = 15
n(P) = number of tray containing only plates = 21
n(C∩P) = ?
Since, each plate contains at least a cup or a plate, n(U) = total number of trays = n(C∪P) = number of trays containing either a cup or a plate
=> n(C∪P) = 25
By the formula of sets: n(A) + n(B) - n(A∪B) = n(A∩B),
We get: n(C∩P) = 15 + 21 - 25 = 15 - 4 = 11
Hence, the number of trays that contain both a cup and a plate = 11.
To learn more about sets, refer to the link: brainly.com/question/13458417
#SPJ4
Answer:
Buffalo Mild Wings
Step-by-step explanation:
Price per wing
Buffalo Bills $0.86
Buffalo Mild Wings $0.83
Wingers $0.85
It depends on the line segment and it they are parallel or not