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
den301095 [7]
3 years ago
7

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

hese triangles?
Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

\dfrac{A}{A'}=\dfrac{P^2}{P'^2}

We are given:

A=72 dm^2  , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. \dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}

on taking square root on both the side we get:

\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'

Now putting the value of P in equation (1) we obtain:

\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

You might be interested in
What's 4.3 rounded to the nearest tenth
kolezko [41]
The answer would be 4.0
4 0
3 years ago
Read 2 more answers
What is the value of x?
hammer [34]

Answer:

16.

How to find... ↓

The small triangle is 1/3 size of the big triangle.

If this is the case, find the LCF here, 4, and multiply each angle's value by the least common factor, 4.

3 x 4 (bottom) = 12

5 x 4 (right side) = 20

4 x 4 (left side <em>the missing side) </em>= 16

Therefore,

The missing side value, <em>x</em>, is 16.

6 0
2 years ago
Read 2 more answers
Can you solve it ????
Dima020 [189]
Angle ABD=87 degrees
angle ABC+angle CBD= angle ABD
Therefore, 9x-1+6x+58=87
15x+57=87
15x=87-57
15x=30
x=30/15
x=2   


Angle ABC= 9x-1
=9(2)-1
=18-1
=17 degrees


7 0
3 years ago
If 3 dogs are going to share 32 ounces of canned dog food equally by weight how many ounces should each dog get? I NEED THIS ASA
mr_godi [17]
Maybe I'm not understanding, but I would say 32 ounces divided by 3 gives an equal amount of food for each dog. So i would just solve 32/3. Hope this helps... sorry if it didn't!

6 0
3 years ago
What is the slope and y-intercept of y+1=4/3x
Sergio039 [100]

hello

so this equation is written in point slope form: y-y_{1} = m(x-x_{1})

we can solve for y to get the equation into slope intercept form: y=mx+b

y+1=4/3x

subtract 1 from both sides

y=4/3x-1

slope: 4/3

y-intercept: -1

hope this helps

have a nice day :)

6 0
3 years ago
Read 2 more answers
Other questions:
  • brianna has $ 2 less than victoria victoria has $11 more than damian damian has $6 how much moeny do they have in all
    10·1 answer
  • Have a 68 66 66 and 86 what grade do i need to pass on my last test
    11·1 answer
  • Find the slope of the line that passes through the points (-3, -20) and (13, 2).​
    9·2 answers
  • Peter earns $32,000 per year plus a 2.5% commission on his jewelry sales. Find Peter's total salary for the year when his sales
    12·1 answer
  • Y=-8x-16<br> 6x-4y=-12<br><br><br> This is the math problem
    10·2 answers
  • Write the mixed number as a fraction.<br> 4 1/3
    11·2 answers
  • Ian worked 45 hours in a week, earning a total of $1101.60. He worked 35 hours normal time, 8 hours of time and a half and 2 hou
    5·1 answer
  • The point slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
    13·1 answer
  • C= 5/9(F-32) <br> urgent!!! will give 50 points
    10·1 answer
  • Complete the solution of the equation. Find th<br> value of y when x equals -8.<br> -x - 4y = 16
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!