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]
2 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]2 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
Entomologist heinz kaefer has a colony of bongo spiders in his lab. there are 1000 adult spiders in the colony, and their weight
Vera_Pavlovna [14]
We have to find the probability N(11,2)>12, wherein N(11,2)
is the normal law with mean 11 and standard deviation 2. 
Using a scientific calculator we get the probability 0.3. 

Now multiply by the population which is 1000 like this:
0.3*1000=300.

There is 300 <span>spiders  in the colony which weigh more than 12 grams</span>
6 0
3 years ago
Read 2 more answers
8-4(-x+5) <br>if any one could help me with this it would be highly appreciated ​
pogonyaev

Answer:

4x - 12

Step-by-step explanation:

8-4(-x+5)

Distribute

8 - 4*-x -4 * 5

8 +4x - 20

Combine like terms

4x - 12

5 0
3 years ago
Frances walks 15 km west, then turns 90 degrees north and walks 30 km.
Mila [183]
Distance and displacement are 45 km
5 0
3 years ago
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
Sunny_sXe [5.5K]

Answer:

x=-7

Step-by-step explanation:

7x2-x=7

7x2=14.

14-x=7

When you finished the last step, you will subtract 14 to both sides.

14-x=7

14-14-x=7-14

this will cancel out the 14 on the left.

And will leave you with:

-x=7-14

7-14 is -7.

and this will get you to

-x=-7

To finish this off, you have to turn the negative x/variable, into a positive x/variable.

So, you will divide both sides of the equation by the same term.

-x = -7

into

\frac{-x}{1} =\frac{-7}{1}

and it will be -7.

I hope this helps      :)

8 0
3 years ago
Kenny has 2 red marbles, 3 blue marbles, and 4 black marbles. Which ratio compares a part to the whole?
just olya [345]

Answer:

3:9

Step-by-step explanation:

since there are 9 marbles in total it must be x to 9

the only solution available, which shows this is 3:9

8 0
2 years ago
Read 2 more answers
Other questions:
  • from a rope that is 11.5 meters long, two pieces are cut from it that are 1 3\5 and 3 3/10 meters long. what is the length of th
    6·1 answer
  • Aircraft landing gears coming from a facility are inspected for defects with the aim to improve the failure rates. Historical da
    11·1 answer
  • The temperature at a point (x, y) on a flat metal plate is given by t(x, y) = 23/(8 + x2 + y2), where t is measured in °c and x,
    12·1 answer
  • I need to know how to find x
    13·1 answer
  • -3,1,0,1,5 least to greatest
    6·2 answers
  • Lori is making 333 mugs of hot chocolate. Each mug holds 1/2 a pint.
    5·2 answers
  • Hello again, I have another question! <br> 8 1/12 + (-13 5/6) <br> Thank you!
    6·2 answers
  • A bag contains 6 red blocks, 4 green blocks and 2 yellow blocks. Three blocks are taken from the bag, at random, without replace
    5·1 answer
  • Math question 3, thanks if you help:)
    14·1 answer
  • Month. Revenue. Expenses
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!