Answer:
22 units
Step-by-step explanation:
The perimeter of a polygon is said to be the sum of the length of it's sides.
From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are
A = (−1, 3)
B = (−1, 6)
C = (2, 10)
D = (5, 6)
E = (5, 3)
To find the distance between two points, we use the formula
d = √[(y2 - y1)² + (x2 - x1)²]
Between A and B, we have
d(ab) = √[(6 - 3)² + (-1 --1)²]
d(ab) = √(3²) + 0
d(ab) = √9 = 3
Between B and C, we have
d(bc) = √[(10 - 6)² + (2 --1)²]
d(bc) = √[4² + 3²]
d(bc) = √(16 + 9) = √25 = 5
Between C and D, we have
d(cd) = √[(6 - 10)² + (5 - 2)²]
d(cd) = √[(-4)² + 3²]
d(cd) = √(16 + 9) = √25 = 5
Between D and E, we have
d(de) = √[(3 - 6)² + (5 - 5)²]
d(de) = √(-3)² + 0
d(de) = √9 = 3
Between E and A, we have
d(ea) = √[(3 - 3)² + (5 --1)²]
d(ea) = √[0 + (6)²]
d(ea) = √36 = 6
The perimeter is given as
d(ab) + d(bc) + d(cd) + d(de) + d(ea) =
3 + 5 + 5 + 3 + 6 = 22 units
Answer:
20%
Step-by-step explanation:
1/5 of 1 hour = 20 minutes
so 1/5 = 20%
25% + 20% = 45%
0.35 = 35%
45% + 35% = 80%
100% - 80% = 20%
Answer = 20%
Hope this helps!
Answer:
- <em>1. Morty's total cost for the items he purchased was </em><u><em>$210</em></u>
- <em>2. Morty's revenue from the sale of the items was </em><u><em>$547</em></u>
- <em>3. Morty's Total profit was </em><u><em>$337</em></u>
<em />
Explanation:
The complete question is:
<em>Morty buys and sells computer parts. He bought two monitors for $25 each and later sold them for $88 each. He bought four cases for $15 each and later sold them for $24 each. He bought five memory modules for $20 each and later sold them for $55 each.</em>
<em />
- <em>Morty's total cost for the items he purchased was</em>
- <em>Morty's revenue from the sale of the items was</em>
- <em>Morty's Total profit was </em>
<em />
<h2><em>Solution</em></h2>
<em />
<u><em>1. Morty's total cost for the items he purchased was</em></u>
<em />
Build a table with the number of parts and their costs:
Component Amout Unit cost Total cost
$ $
Monitors 2 25 50
Cases 4 15 60
Memory 5 20 100
Total cost = $50 + $60 + $100 = $210
<u><em>2. Morty's revenue from the sale of the items was</em></u>
<em />
Build a table with the number of parts and their selling prices:
Component Amout Unit price Total cost
$ $
Monitors 2 88 176
Cases 4 24 96
Memory 5 55 275
Total revenue: $176 + $96 + $275 = $547
<u><em>3. Morty's Total profit was </em></u>
<em />
The total profit is the total revenue less the total cost: $547 - $210 = $337.
