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
You leave an 18% tip on a $45.00 dinner bill.how much was the tip.
Mice21 [21]

Answer:

If you had a bill of $45.00 and left an 18% tip then you would have left an $8.10 tip.

6 0
3 years ago
PLEASE HELP!!! QUICK MATH QUESTION!!! :(((
weqwewe [10]
This is a pythagorean theorem problem

When solving for the sides of a right triangle... a^2 + b^2 = c^2

Therefore, 7^2 + b^2 = 25^2

b^2 = 25^2 - 7^2 = 576

b = sqrt(576) = 24 

Answer: A 24
4 0
3 years ago
Read 2 more answers
Plz help 8k-- 5k combine the like terms to create a equivalent expression
Brums [2.3K]

Answer:

3k

Step-by-step explanation:

8k-5k=3k

5 0
3 years ago
Read 2 more answers
Help me with this please
Reika [66]

Answer:

$2,459.21

Step-by-step explanation:

(see attached for reference)

recall that the formula for compound interest is:

A = P [ 1 + (r/n)^ (nt) ]

where,

A = Final amount ( we are asked to find this)

P = principal amount = given as $2,340

r = Annual Interest Rate = given as 5% = 0.05

n = number of times compounded in a year = 4 (compounded quarterly)

t= time = 1 year

Substituting the values into the equation,

A = P [ 1 + (r/n)^ (nt) ]

A = 2,340 [ 1 + (0.05/4)^ (4·1) ]

A = $2,459.21

6 0
3 years ago
IM STUCK WITH THIS, ITS BETWEEN 22 OR 12 CAN SOMONE CHECK?<br> ILL MARK U BRAINIEST
Mkey [24]

Answer:

12

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

6 0
3 years ago
Read 2 more answers
Other questions:
  • Someone help me please
    12·1 answer
  • What is x-3y=9 in function form???
    11·2 answers
  • Simplify (7 + 1)2 – (11 + 32) ÷ 4.
    14·2 answers
  • There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
    6·2 answers
  • When x is between -4 and -1, is the function increasing or decreasing
    6·1 answer
  • HLEP PLEASE ANSWER IM SERIOUS NO JOKE STOP THE TROLLING I NEED HLEP
    14·1 answer
  • Which expression shows the prime factorization of 56?
    10·1 answer
  • Find the 13th term of the arithmetic sequence -3x+7, -5x+3, -7x-1,...
    15·1 answer
  • Maggie had $4 in her wallet. If this is 16% of her monthly allowance, wha is her monthly allowance?
    13·2 answers
  • The table shows the annual sales revenues of different types of vehicles made by four automobile manufacturers.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!