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
Kay [80]
3 years ago
12

Someone please help me

Mathematics
1 answer:
guapka [62]3 years ago
5 0
Let the sides of the polygon (which is a triangle, by the way) be x, y and z.  The sum of x, y and z is the perimeter of the original poly, and this equals 18 cm.

Letting f be the scale factor,   f(18 cm) = 12 cm.  Then f=2/3.

The dilation reduces the size of the polygon by a factor of 1/3, producing a similar polygon which is 2/3 the size of the original one.

In each case we have 3 side lengths but no angles.  We can use Heron's formula to obtain the area in each case.  Look up Heron's formula.  In one version of this formula, p is half the actual perimeter, meaning that p is 18 cm / 2 for the first triangle and 12 cm / 2 for the second. 

The area of the first triangle would be

A18 = sqrt( 9(9-x)(9-y)(9-z) )

whereas 

A12 = sqrt( 6(6-x*a)(6-y*a)(6-z*a) ), where a represents the dilation factor 2/3.

Then the ratio of the areas of the 2 triangles is

sqrt( 6(6-x*a)(6-y*a)(6-z*a) )
---------------------------------------
  sqrt( 9(9-x)(9-y)(9-z) )

You might be interested in
10 percent increase of $29000 over 5 years,will give brainly is urgent
Tema [17]

Answer:

$43,500

Step-by-step explanation:

10 percent increase of $29,000

10% = 0.10

29,000*0.10 = 2,900

So 2,900 a year

so 2,900*5 = 14,500

Then add

29,000+14,500 = 43,500

8 0
3 years ago
Which statistic is a measure of how data are dispersed in a population and can be used to give context to larger data sets
OLEGan [10]

Answer:

standard deviation

Step-by-step explanation:

The standard deviation is defined as the measure of how spread out the numbers are in a given population. In other words, statistics refers to the amount of the dispersion or variation of a set of given values.

It is denoted by the Greek letter sigma, σ.

Thus the standard deviation is the measure of how dispersed the data are in the population which can be used to provide context to a larger data sets.

7 0
3 years ago
A regular hexagon is inscribed in a circle and another regular hexagon is circumscribed about the same circle. What is the ratio
Anna007 [38]

4/3 of the area of the larger hexagon to the area of the smaller hexagon

Let the sides of the interior hexagon be 2 cm long, then this hexagon is made up of 6 equilateral triangles of side = 2.

The area of this hexagon = 6 * 1 * sqrt3 = 6 sqrt3 ( as the triangle is made up of 2 60-30-90 triangles)

The exterior hexagon is made up of 6 equilateral triangles with altitude 2 and the area = 6 * 2 * (2 / sqrt3 ) = 24 / sqrt3

area exterior hex / interior hex = 24 / sqrt3 * 1 / 6sqrt3 = 24/18

= 4/3

Required ratio = 4/3 answer

Learn more about Equations:

brainly.com/question/16450098

#SPJ4

3 0
2 years ago
Use the associative property to identify which expression is equal to (10) (5x)(7)
harkovskaia [24]

Answer:

(10·5)(x·7) is correct

6 0
3 years ago
Given that L is equidistant from M and K, find m<br> A. 23<br> B. 33<br><br> C. 55<br> D. 57
Anna11 [10]
The answer:
the full question is, <span>Given that L is equidistant from M and K, find m KLN
as we see on the figure
m</span>KLN ≈ mMLN, so 33 = 2y + 23
so 33 - 23 = 2y,   10° = 2y, and then y= 10/2 = 5° 

finally, we can tell that mKLN ≈2(5) + 23 = 33°

the answer is <span>B. 33</span>
6 0
4 years ago
Other questions:
  • Let x represent any year. Write an Inequality inequality in terms of X in 453 that is true only for values of X that represent y
    8·2 answers
  • Another way to write 1/2
    7·2 answers
  • What is 45.67 in expanded form? 40+5+0.6+0.07 or 40+0.5+0.06+0.007 or 40+5+0.6+0.007 or 4+5+0.06+0.007?
    8·1 answer
  • write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequal
    12·1 answer
  • Is 10/18 in decimal form a terminates or repeating decimal
    14·1 answer
  • If a Hummer travels 204.8 miles on 25.2 gallons of gas, what is the gas mileage in miles per gallon? Round to the nearest tenth.
    8·1 answer
  • A store that sells skis buys them from a manufacturer at a wholesale price of $57. The store’s markup rate is 50%. What price do
    10·2 answers
  • What is the answer tox+5&lt;-12
    13·2 answers
  • Which expression is equivalent 2(a+4b)+5+7b+6
    14·1 answer
  • Which number is NOT in the solution set of the inequality x &gt; 10?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!