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
saul85 [17]
2 years ago
14

What is the perimeter of CDE?

Mathematics
1 answer:
LuckyWell [14K]2 years ago
7 0
<h3>Answer: 32.5 units (choice C)</h3>

This value is approximate.

=============================================================

Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

You might be interested in
How to find displacement from velocity.
Ipatiy [6.2K]

Answer:

  • <em>The average velocity of the object is multiplied by the time traveled to find the displacement. The equation x = ½( v + u)t can be manipulated, as shown below, to find any one of the four values if the other three are known.</em>

5 0
2 years ago
How is the graph of y=2(3)^x+1 translated from the graph of y = 2(3)^x
umka2103 [35]

y=2​(3)x+1

−

y=2(3)x

y-y=2(3)x+1−2(3)x​


the answer would be 0=1


but if it is asking u if it is false or true it is


0=1 is false, therefore the system of equations has no solutions


7 0
3 years ago
How do you solve -24=2r
Svetach [21]
The answer is: r = -12
7 0
2 years ago
Plzzz help<br><br> -7/9 times 9/8 in fraction form
olga2289 [7]

Answer:

7/8 (simplified)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 5 divided by 8,350 (long division)
lesantik [10]

Answer:

0.625

the pictures I attached are the work. the pictures are in order from 1 to 5 in red.

5 0
2 years ago
Other questions:
  • What’s the answer?....
    11·1 answer
  • The hypotenuse of a right triangle is 10 cm. what is the perimeter, in centimeters, of the triangle? the area of the triangle is
    11·1 answer
  • According to the Woodlawn Park zoo in Seattle, Washington, The average height in inches (h) of a baby giraffe during its first w
    9·1 answer
  • How do you write 62.3964 in word form
    15·2 answers
  • Need to find x please help!!!!!!!!!!!!!!
    12·2 answers
  • What is 80.106 written in expanded form?
    12·1 answer
  • On average,Shane drinks 1/2 of a 6-ounce of water in 2/3 hour.How much water does she drinks in an hour.Show work
    11·2 answers
  • What is square root of 29
    5·1 answer
  • What is the solution to this system of equations?
    11·2 answers
  • What is 1+1-1 plssssssssssssssssssssssssssssssss its a test and its impossible to solve
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!