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
almond37 [142]
2 years ago
13

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answe

r. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43. 5 units2. The calculated areas are.
Mathematics
2 answers:
8090 [49]2 years ago
7 0

The calculated areas of both are the same instead of using the different formulas that are 43. 5 squared unit.

<h3>What is the area of a regular polygon?</h3>

The area of the polygon is the product of half of the apothem of the triangle and perimeter.

The area of the polygon = \frac{1}{2} \times h \times p

The side of the triangle is 10 units.

Apothem of an equilateral triangle

s = \frac{\sqrt{3} a}{6}

s= \sqrt{3} \times 10/6

s = 2.88

Here, a is the side of the triangle.

Thus the apothem of the triangle is 2.9 units.

The perimeter of the equilateral triangle is equal to the three times the sides.

Perimeter of the equilateral triangle ,

P = 3(10)

P = 30

Therefore, the perimeter of the equilateral triangle is 30 units.

The area of the equilateral triangle-

The area of the polygon = \frac{1}{2} \times h \times p

A = 1/2 \times 2.9 \times 30

A = 43.5

Thus the area of the equilateral triangle is 43.5 squared units.

Therefore, The calculated areas of both are the same instead of using the different formulas.

Learn more about the apothem;

brainly.com/question/10580427

Lana71 [14]2 years ago
6 0

Answer:

(A) 2.9

(C)30

(A)1/2(2.9)(30)

(D)The same despite using different formulas

Step-by-step explanation:

I did it

You might be interested in
Which expression is equivalent to 9x − 12?
beks73 [17]
<h3>✽ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Find the greatest common factor of 9 and 12

It would be 3

9x/3 = 3x

-12/3 = -4

The correct option is C. 3(3x - 4)

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

3 0
3 years ago
Read 2 more answers
Please help me divide
Inessa [10]
Hope this work helps you

3 0
3 years ago
Read 2 more answers
A swimming pool is 65.25 feet long and 40.5 feet wide. How much longer is the pool than it is wide?
melamori03 [73]
65.25 - 40.50 = How much longer the pool is than wide

= 24.75 longer

It is also or about 38%.
7 0
3 years ago
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

==========================================================

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
2 years ago
Is -2.875 &gt; -2 7/8? ​
Thepotemich [5.8K]

Answer:

The left side  

−

2.875

is not greater than the right side  

−

2.875

, which means that the given statement is false.

False

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • The perimeter of a rectangular poster is 188 inches. Its length is 6 inches longer than its width. What is the area of the poste
    11·1 answer
  • The heights of 200 adults were recorded and divided into two categories. Which two-way frequency table correctly shows the margi
    6·1 answer
  • A student factors a^6 - 64 to (a^2 - 4)(a^4 + 4a^2 + 16). Which statement about (a^2 − 4)(a^4 + 4a^2 + 16) is correct?
    10·2 answers
  • What is 2 meters in centimeters??
    10·2 answers
  • For what value of x is sin x = cos 19º, where 0°&lt; x &lt; 90°?
    13·1 answer
  • Please help I have one question.
    11·1 answer
  • Exhibit 5-8 The student body of a large university consists of 60% female students. A random sample of 8 students is selected. R
    14·1 answer
  • How can you put -4/5 on the number line
    15·2 answers
  • The weather report says there is a 91% chance it will rain tomorrow. Should you get ready to use an umbrella?
    6·2 answers
  • Can someone help meee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!