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
lianna [129]
3 years ago
15

Find the area of a regular 12-sided polygon with side of length s and apothem 8.

Mathematics
2 answers:
aliina [53]3 years ago
5 0
Apothem is the height of a triangel formed by two consecutive vertices with the center.  the are of this triangle = 1/2 s 8  = 4s
there area 12 such triangles in the regular 12 side polygon
So area = 12 * 4 s = 48 s
Alinara [238K]3 years ago
5 0

If\ this\ is\ regular\ 12-sides\ polygon\ it\ is\ build\ from\ 12\ isosceles\\triangles.\\\\
apothem=height\ of\ triangle\\\
side=base\ of\ triangle\\\\
Area\ of\ one\ triangle:\\
A=\frac{s*apothem}{2}=\frac{s*8}{2}=4s\\\\
Area\ of\ polygon\ =12*A=12*4s=48s



You might be interested in
A number k less than 10
svlad2 [7]
Your answer would be

10 - k
5 0
3 years ago
Which graph represents the function of f(x) 9x^2 + 9x - 18 / 3x + 6
Irina-Kira [14]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=\frac{9x^{2}+9x-18}{3x+6}

Remember that in a quotient, the denominator cannot be equal to zero

so

The value of x cannot be equal to x=-2

Simplify the expression

Using a graphing tool

The roots of the quadratic equation in the numerator are

x=-2 and x=1

so

9x^{2}+9x-18=9(x+2)(x-1)

Simplify the denominator

3x+6=3(x+2)

substitute in the original expression

f(x)=\frac{9(x+2)(x-1)}{3(x+2)}

Simplify

f(x)=3(x-1)

f(x)=3x-3

Is the equation of a line

The y-intercept is the point (0,-3) (value of the function when x is equal to zero)

The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)

Graph the line, but remember that the value of  x cannot be equal to -2

The graph in the attached figure

7 0
3 years ago
What kind of transformation converts the graph of f(x) = 10x + 71 - 2 into the graph of
Over [174]

Answer:

A transition down six units

Step-by-step explanation:

-2-6=-8

8 0
3 years ago
If one jar of peanut butter weights 1.6 pounds, how much does 5 jars of peanut butter weight?
Lady_Fox [76]

Answer:

5 × 1.6 = 8. The answer is 8 pounds.

Step-by-step explanation:

If you multiply 5 and 1.6, you get 8.

5 0
3 years ago
Read 2 more answers
Find area of triangle ​
ivanzaharov [21]

Answer:

49.1 cm² (round to nearest 10)

Step-by-step explanation:

- use trigonometry to find the <em>h</em><em>e</em><em>i</em><em>g</em><em>h</em><em>t</em><em>(</em><em>h</em><em>)</em><em> </em>of the triangle

- substitute height and base(b) 12cm into the formula

<em>A</em><em> </em><em>=</em><em> </em><em>½</em><em> </em><em>×</em><em> </em><em>b</em><em> </em><em>×</em><em> </em><em>h</em><em> </em><em>.</em>

7 0
3 years ago
Other questions:
  • One of the factors of 1331x^3-8y^3
    13·1 answer
  • From 145 pounds to 132 pounds
    15·1 answer
  • Find the equivalent fraction and percent for 48
    13·1 answer
  • The greatest common factor of 16 20 and 24
    15·1 answer
  • 153,732,991 what is the value of yhe underlined digit if it is the 1
    9·2 answers
  • What are the two LARGEST angles for question one? Show work if possible
    7·1 answer
  • What is the perimeter of the rectangle ?
    11·1 answer
  • If s=17 and t=19 then r=<br>its #2 btw
    10·2 answers
  • The weekly wages of employees of Volta gold are normally distributed about a mean of $1250 with a variance of $120. Find the pro
    14·1 answer
  • Graph the equation y=-1/4(x-2)(x+6) khan academy
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!