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
WINSTONCH [101]
3 years ago
8

A regular polygon has a perimeter of 40 cm and a apothem of 6 cm. find the polygons area

Mathematics
1 answer:
Anestetic [448]3 years ago
3 0

Answer:

a = 120 cm²

Step-by-step explanation:

n = number of sides

edge length

40/n

divide the polygon into n congruent triangles

a = (1/2)(edge * apothem) * number of triangles

a = (1/2)(40/n)(6) * n

n cancels out

a = (1/2)(40)(6)

a = 120 cm²

You might be interested in
Determine the validity of the following argument. If one of the arguments is listed in the text, please name it: If n is a real
Hoochie [10]

Answer:

Step-by-step explanation:this is confusing for me oof

3 0
3 years ago
If the blue radius below is perpendicular to the green chord and the segment BC is 7.6 units long, what is the length of the cho
galina1969 [7]

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!


6 0
3 years ago
Jordan is using a number line to model the division expression Negative 24 divided by 12. What should be a step in his work?
Murrr4er [49]
The answer to this is: Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24.
This is because when you want to represent division in a number line you must always start from the zero count divisor until you reach the dividend.
8 0
2 years ago
Read 2 more answers
If two siblings are boys, what is likelihood that the third sibling will also be a boy
melamori03 [73]
The is a 50% chance of being a boy or a girl.....previous siblings do not matter. Every child is an independent event. So even if u had 2 siblings that were boys, the result of the next one being a boy is still gonna be 50%...just as the odds of it being a girl, is 50% as well.
6 0
3 years ago
Read 2 more answers
Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?
lilavasa [31]
\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
%  (a,b)
&&(~ 2 &,& 3~) 
%  (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope  = m
slope =  m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies  +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}
7 0
3 years ago
Other questions:
  • D dollars for 18.4 quarts<br> 24 dollars for 6 quarts
    13·1 answer
  • What is the model of 5*17
    5·1 answer
  • How to solve 2^x = 22.5?
    10·2 answers
  • find the volume of a trianglular prism that has a triangular base of 14 and and a height of 17 with a prism height of 5 leave yo
    7·1 answer
  • What is crop selection​
    6·1 answer
  • Identify the midline of the graph
    8·2 answers
  • Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. 31, 35, 2, 32, 27, 35
    7·1 answer
  • PLEASE HELP PLEASE 3. Which rule best describes this transformation?
    12·1 answer
  • Factoring is the opposite of what property?
    14·1 answer
  • Describe the system of equations y + 4x = -5 and 2y= -8x-20
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!