1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
baherus [9]
3 years ago
7

What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)

Mathematics
1 answer:
Marat540 [252]3 years ago
7 0

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

You might be interested in
A rectangular pyramid has a base area of 24in² and a volume of 48in³. What is the height of the pyramid?
alexgriva [62]

height of pyramid = 3*(V/A)

V=48in^3

A=24in^2

So 3*(48/24) = 3*2=6

4 0
3 years ago
Read 2 more answers
Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping
Debora [2.8K]
I would argue that it does due to that if it increased, it's either from a 30% chance that nothing changed or that the teachers did it. Since 100-30=70, there's a 70 percent chance that the teaching effect did work!
4 0
3 years ago
Read 2 more answers
Write 10 places in India and write their population in Indian and international system​
gulaghasi [49]

Answer Expert Verified

4.4/5

97

Golda

Ace

2.9K answers

3.5M people helped

Solution :-

Following are the population of five major cities of India according to the Census of 2011.

1) Mumbai  

a) Indian System :

1,24,42,373 - One Crore Twenty Four Lakh Forty Two Thousand Three Hundred Seventy Three.

b) International system :

12,442,373 - Twelve Million Four Hundred Forty Two Thousand Three Hundred Seventy Three.

2) Delhi  

a) Indian System :  

1,10,34,555 - One Crore Ten Lakh Thirty Four Thousand Five Hundred Fifty Five.

b) International System :

11,034,555 - Eleven Million Thirty Four Thousand Five Hundred Fifty Five.

3) Bangalore  

a) Indian System :

84,43,675 - Eighty Four Lakh Forty Three Thousand Six Hundred Seventy Five.

b) International system :

8,443,675 - Eight Million Four Hundred Forty Three Thousand Six Hundred Seventy Five.

4) Hyderabad  

a) Indian System :

67,31,790 - Sixty Seven Lakh Thirty One Thousand Seven Hundred Ninety.

b) International System :

6,731,790 - Six Million Seven Hundred Thirty One Thousand Seven Hundred Ninety.

5) Ahmedabad  

a) Indian System :  

55,77,940 - Fifty Five Lakh Seventy Seven Thousand Nine Hundred Forty.

b) International System :

5,577,940 - Five Million Five Hundred Seventy Seven Thousand Nine Hundred Forty.

5 0
3 years ago
Read 2 more answers
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
ki77a [65]

Answer:

A. 58, 13,-35,-51

Step-by-step explanation:

Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.

|-35| = 35

|-53| = 53

-35 has a smaller absolute value than -53, so -35 is greater than -53.

Answer: A. 58, 13,-35,-51

7 0
3 years ago
Read 2 more answers
Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?
Alisiya [41]

Answer:

10%

Step-by-step explanation:

a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%

3 0
3 years ago
Other questions:
  • The path of a golf ball can be modeled by the quadratic equation y=-0.001x^2+0.3x, where y represents the vertical distance and
    6·1 answer
  • amanda spent half of her weekly allowance on clothes. to earn more money her parents let her clean the gutters for $8. what is h
    8·1 answer
  • How many dimensions does a plane have?<br><br> A. TWO<br> B. Zero<br> c. Three<br> D.One
    12·1 answer
  • Which of the following rational numbers is equal to 4.7 with a line on top of 7 ?
    9·1 answer
  • What is the area of this triangle? and can you give me the equation on how to solve it? thank you!
    11·1 answer
  • Number 2 and please provide a step by step explanation!!!!
    11·2 answers
  • Loris dog eats 3.82 pounds of food in one week. how much food will the dog eat in 18 weeks?
    15·2 answers
  • The system of equations 3x + 9y^3= -21, 13y^3+4x=-1 has exactly one solution.
    8·1 answer
  • L. x-5=7<br>2. 5y-21=14 <br>3. 2x+8=x-3<br><br><br>please help I need the full methods . ​
    7·2 answers
  • Please help me thank you!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!