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
zysi [14]
3 years ago
9

find the area of the regular decagon if the apothem is 5 inches and a side is 3.2 inches. Round to the nearest whole number

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

When you are given the side length and apothem of a regular polygon and asked for area, you are expected to use the formula

... A = (1/2)Pa

where P is the perimeter of the polygon, "a" is the apothem, and A is the area.

The only additional information you need is that a decagon has 10 sides, so its perimeter is 10×3.2 inches = 32 inches.

The area is ...

... A = (1/2)(32 in)(5 in)

... A = 80 in²

_____

Sometimes the dimensions of a problem like this don't quite add up. The geometry of a regular polygon means that the apothem can be found from the side length and vice versa. In this case, the side length of 3.2 inches means the apothem is about 4.92 inches; or the apothem of 5 inches means the side length is about 3.25 inches. Either way, the area is slightly different from that computed using the given numbers.

This is why I say you're expected to use the above formula. (You're not expected to think about it too much.)

You might be interested in
Hi pls help me ty in advance​
Anna35 [415]

A right angle = 90 degrees

A round angle = 360 degrees


1. 3 x 90 = 270 degrees

2. 4 x 90 = 360 degrees

3. 1 1/2 x 90 = 135 degrees

4. 2 1/3 x 90 = 210 degrees

5. 2/9 x 360 = 80 degrees

6. 3 3/8 x 360 = 1,215 degrees

5 0
2 years ago
40 points urgent really need answer
Kipish [7]

a_1=1\\a_2=1+4=5\\a_3=5+2\cdot4=5+8=13\\a_4=13+3\cdot4=13+12=25\\a_5=25+4\cdot4=25+16=41\\a_6=41+5\cdot4=41+20=61

Answer: d. 25 + 16 = 41

6 0
2 years ago
The Patels took out a 15-year mortgage. How many monthly payments will they have to make on this mortgage?
Usimov [2.4K]
I think 745 dollars per month because the person he rent the mortgage cost like 350 dollars per week
6 0
3 years ago
Read 2 more answers
7 added to the quotient of 6 and 2
coldgirl [10]
6/2=3+7=10
so
(6/2)+7=10
5 0
3 years ago
If (x – 4) + 6 = 2 - (4 - 2x), then x =<br> A. -4<br> B. -2<br> C. 2<br> D. 4
blondinia [14]

Answer:

x=4

Step-by-step explanation:

Remove the parentheses and turn the 4-2x and make it into 4+2x candle the equal term -4 and should be left with x+6=2+2x then move the variable to the left and change the sign so it would be x-2x=2-6 and collect like terms so it would be -x=2-6 and then calculate that and get -x= -4

(sorry its alot)

6 0
3 years ago
Other questions:
  • How would I find x ?
    12·2 answers
  • With a scale factor 1 : 25000 , what would be the real distance on a 6.8cm map?
    13·1 answer
  • In two or more complete sentences, describe how series and sequences relate to each other.
    8·1 answer
  • Find the value of x<br> 44 and 55in
    10·1 answer
  • HELP PLS READ
    11·2 answers
  • Please help , I have the picture and everything (worth 10 points) but don’t be on no bs .
    7·2 answers
  • What is the predecessor of 2,777
    10·1 answer
  • Simplify:<br> n+(n+1)+(n+2)+...+[n+(n-1)]+...+(n+2)+(n+1)+n
    7·2 answers
  • What is the measure of angle H?<br> A. 80°<br> B. 75°<br> C. 110°<br> D. 95°
    13·1 answer
  • 1/4 divided by 9.5 im not completely sure what it is can you please help me
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!