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
serious [3.7K]
3 years ago
12

Please help i put a picture below

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

Answer:

Step-by-step explanation:

This is not nearly as threatening and scary as I first thought it was.  You must be in the section in Geometry where you are taught that perimeter of similar figures exist in a one-to-one relationship while areas of similar figures exist in a squared-to-squared relationship.  We will use that here.  

The area formula for a regular polygon is

A=\frac{1}{2}ap where a is the apothem and p is the perimeter.  We are first asked for the area of the polygon, but it would make more sense to find the perimeter first, since we need it to find the area.

P = 5(8) so

P = 40

We are given that the area of the triangle inside that polygon is 22.022 units squared.  Knowing that the area formula for a triangle is

A=\frac{1}{2}bh we can sub in what we know and solve to find the height:

22.022=\frac{1}{2}(8)h and

22.022 = 4h so

h = 5.5055 units

It just so happens that the height of that triangle is also the apothem of the polygon, so now we have what we need to find the area of the polygon:

A=\frac{1}{2}(5.5055)(40)

which gives us an area of

A = 110.11 units squared.

Here is where we can use what we know about similar figures and the relationships between perimeters and areas.  We will set up a proportion with the smaller polygon info on top and the larger info on bottom.  We know that the larger is 3 times the smaller, so the ratio of smaller to larger is

\frac{s}{l}:\frac{1}{3}

Since perimeter is one-to-one and we know the perimeter of the smaller, we can create a proportion to solve for the perimeter of the larger:

\frac{s}{l}:\frac{1}{3}=\frac{40}{x}

Cross multiply to get that the perimeter is 120 units.  You could also have done this by knowing that if the larger is 3 times the size of the smaller, then the side measure of the larger is 24, and 24 * 5 = 120.  But we used the way we used because now we have a means to find the area of the larger since we know the area of the smaller.

Area exists in a squared-to-squared relationship of the perimeter which is one-to-one.  If the perimeter ratio is 1:3, then the area relationship is

\frac{s}{l}:\frac{1^2}{3^2} which is, simplified:

\frac{s}{l}:\frac{1}{9}

Since we know the area for the smaller, we can sub it into a proportion and cross multiply to solve for the area of the larger.

\frac{s}{l} :\frac{1}{9} =\frac{110.11}{x}

A of the larger is 990.99 units squared

You might be interested in
What is a quartic function with only the two real zeros given?
VashaNatasha [74]
The right answer is B
7 0
3 years ago
125 < 28 + 72 + 6x < 200
Olin [163]

Answer:

The answer is 25/6 < x < 50/3

Step-by-step explanation:

Move all terms not containing  x  from the center section of the inequality.

hoped this helped!

Brainly, please?

4 0
3 years ago
Trinity's clothing store has 36 parking spots in front if the store. Eleven of the parking spaces are currently empty. What perc
Mila [183]
36 - 11 = 25

25 / 36 = .69

69%
8 0
3 years ago
Explain the steps you would take to complete this conversion problem.
UNO [17]
In the picture are the steps on how to solve this conversion problem

Hope this helps and maker me brainless plzzzzz

The answer is
46100000
——————g
221

3 0
3 years ago
Y=4x+3<br> in slope intercept form
Aleks04 [339]

The answer is y=4x+3, it's already in slope intercept form.

5 0
3 years ago
Other questions:
  • A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form? A=–n2 + 3n + 5 B=n2 + 6n
    12·2 answers
  • Write a subtraction fact with the same difference as 16-7?
    6·2 answers
  • Richard has enrolled in a 401(k) savings plan. He intends to deposit $250 each month; his employer does not contribute to his ac
    14·1 answer
  • Largest to smallest 1\1\4
    13·2 answers
  • Suppose there is a bag containing 20 white marbles ​(Upper W​), 20 red marbles ​(Upper R​), 20 yellow marbles ​(Upper Y​), and 2
    12·2 answers
  • Find the value of the X to the nearest tenth 57* 6
    9·1 answer
  • Two cities are 3450 miles apart. A plane leaves one of​ them, traveling towards the other at an average speed of 310 miles per h
    8·1 answer
  • (-2,-3), y=2x-1 write the equation in slope intercecpt form
    7·1 answer
  • Hello I really need help. Thanks :)
    11·1 answer
  • A. Describe the three ways in which two lines may be related
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!