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
SVEN [57.7K]
3 years ago
8

Find the perimeter of triangle CDE. Round to the nearest tenth.

Mathematics
2 answers:
nevsk [136]3 years ago
7 0
Here's how you do it: you find all the distances between the three points and add them together to calculate the perimeter of the triangle. To calculate for the distance between two points, the formula is

d = √[(x2 - x1)² + (y2 - y1)²]

So, just take two points, assign x1 and x2 with corresponding y1 and y2, then you get the answer.

Points: D(1,4), E(3,-2), C(-3,1)

After substituting the answers would be:
DE = 6.3 units
CE = 6.7 units
CD = 5 units

Perimeter = 6.3 + 6.7 + 5
Perimeter = 18 units
777dan777 [17]3 years ago
7 0

Answer: 18.0

Step-by-step explanation:

The distance formula to find the distance between two points P(a,b) and Q(c,d) is :_

d=\sqrt{(d-b)^2+(c-a)^2}

From the graph, the coordinates of ΔCDE are C(-3,1) , D(1,4) and E(3,-2).

Then, length of CD :-

CD=\sqrt{(4-1)^2+(1-(-3))^2}\\=\sqrt{9+16}=\sqrt{25}=5

Length of DE :-

DE=\sqrt{(-2-4)^2+(3-1)^2}=\sqrt{36+4}\\=\sqrt{40}=5\approx6.3

Length of EC :-

EC=\sqrt{(-3-3)^2+(1-(-2))^2}=\sqrt{(-6)^2+(3)^2}\\=\sqrt{45}=5\approx6.7

Now, the perimeter of triangle :_

CD+DE+EC=5+6.3+6.7=18.0\text{ units}

Hence, the perimeter = 18.0 units

You might be interested in
How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz
Burka [1]

Answer:  4 oz

<u>Step-by-step explanation:</u>

Create a table.  Multiply across and add down (the middle column cannot be added).  The Mixture line creates the equation that must be solved.

Let x represent the unknown quantity of walnuts.

\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}

.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}

4 0
2 years ago
Indicate the equation of the given line in standard form. The line through the midpoint of and perpendicular to the segment join
lianna [129]
The midpoint is (3,-1) 

5 0
3 years ago
(2(n+1)-1)^2-(2n-1)^2 simplified
Westkost [7]

Answer: 8n

Let's simplify step-by-step.

(2(n+1)−1)2−(2n−1)2

Distribute:

=4n2+4n+1+−4n2+4n+−1

Combine Like Terms:

=4n2+4n+1+−4n2+4n+−1

=(4n2+−4n2)+(4n+4n)+(1+−1)

=8n

7 0
2 years ago
Old time savings bank pays 4% interest on its savings accounts. if you deposit $1,000 in the bank and leave it there: (do not ro
topjm [15]
A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
c. $480.24, because 1,000 × 1.04^10 = 1,480.24.
I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!
3 0
3 years ago
Read 2 more answers
What is 0.38 cups as a fraction??
Alexandra [31]
The answer is 38 over 100 cups. Simplified = 19 over 50. All you do to get the answer is put 38 over 100. Then divide 38 by 2. Then divide 100 by 2.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Write the formula for a triangle with a height of 2 1/2 and a 13 in base
    7·1 answer
  • 1. Translate: A number divided into 4 2. Translate: The sum of 2/3 and a number 3. Translate: Drew is "n" years younger than Joe
    11·1 answer
  • Type the correct answer in each box use numerals instead of words if nessasary us /for fractions subtract write your amswer in s
    13·1 answer
  • Given that tan theta = square root of 3 over 4, and 0 &lt; theta &lt; pi over 2, what is the exact value of cot theta?
    15·1 answer
  • What number should be added to the expression x^2 + 12x to change it into a perfect square trinomial? Is 36 correct?
    14·1 answer
  • Who know Pythagorean thm and is good at it?
    12·1 answer
  • Good morning everyone! How are yall?
    8·2 answers
  • Solve the following right triangle using the Pythagorean Theorem and trig ratios to find the missing side length and missing ang
    7·1 answer
  • Find the area of the shaded region
    5·2 answers
  • (a) Write 7.97 x 10 ^-6 as an ordinary number.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!