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morpeh [17]
3 years ago
9

Find the area of a regular decagon with perimeter 100 units. Show all work.

Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
A regular polygon has ten (10) equal sides ( since it is regular).
We are given with the perimeter value which is 100 units and the perimeter formula is P = 10a
Solving for a (the side measurement), we have:
100 = 10a
a= 100/10
a =10

We can now proceed in solving the area and the formula is shown below:
Area = 5/2 a√ (5+2√5)
Area = 5/2 * 10√(5+2√5)
Area = 76.94 square units

The answer is 96.94 square units.
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Find the perimeter of the shape shown below.
sukhopar [10]

perimeter = turn of the figure

P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36

the triangle has 2 équal sides => isosceles

and 1 angle is 60° so the triangle is equilateral

 

7 0
2 years ago
Quran records that his hamster an turn the wheel in its cage to make 1 revolution in 0.5 minuet. How many revolutions can the ha
s344n2d4d5 [400]
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6 0
3 years ago
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4. What is the volume of the cylinder? Express answer in terms of a (hold and
Vladimir [108]

Given:

Base area = 4π mm²

Height = 10 mm

To find:

The volume of the cylinder.

Solution:

Base of the cylinder is circle.

Area of the base = πr²

πr² = 4π

Volume of the cylinder = πr²h

Substitute 4π in place of πr².

                                      = 4π × 10

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4 0
4 years ago
A carton has a length of 22/3 feet, width of 11/8 feet, and height of 11/5 feet, What is the volume of the carton?​
cupoosta [38]

Length of a carton :

=  \frac{22}{3}  \: feet

Width of the carton :

=  \frac{11}{8}  \: feet

Height of the carton :

=  \frac{11}{5}  \: feet

Volume of the carton :

= Length × Width × Height

=  \frac{22}{3}  \times  \frac{11}{8}  \times  \frac{11}{5}

=   \frac{2622}{120}

\color{hotpink} =  21.85 \: feet

Therefore, the volume of the carton = 21.85 feet.

7 0
3 years ago
I will mark you as brainlist plz help asap
Rus_ich [418]
The answer is “A” hope I helped
4 0
3 years ago
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