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
VikaD [51]
3 years ago
5

The area of an Equilateral triangle is given by the formula A= 3pi squared/4(s)Squared. Which formula represents the length of e

quilateral triangle’s side S?
Mathematics
1 answer:
ad-work [718]3 years ago
7 0

Answer:

The formula that represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A) is \text{s}= \sqrt{ \frac{4 \text{A}}{\sqrt{3} }} .

Step-by-step explanation:

We are given the area of an Equilateral triangle which is A = \frac{\sqrt{3} }{4} \times \text{s}^{2} . And we have to represent the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).

So, the area of an equilateral triangle =  \frac{\sqrt{3} }{4} \times \text{s}^{2}

where, s = side of an equilateral triangle

A  =  \frac{\sqrt{3} }{4} \times \text{s}^{2}

Cross multiplying the fractions we get;

4 \times A = \sqrt{3} \times \text{s}^{2}

\sqrt{3} \times \text{s}^{2}= 4\text{A}

Now. moving \sqrt{3} to the right side of the equation;

\text{s}^{2}= \frac{4 \text{A}}{\sqrt{3} }

Taking square root both sides we get;

\sqrt{\text{s}^{2}} = \sqrt{ \frac{4 \text{A}}{\sqrt{3} }}

\text{s}= \sqrt{ \frac{4 \text{A}}{\sqrt{3} }}

Hence, this formula represents the length of an equilateral triangle’s side (s) in terms of the triangle's area (A).

You might be interested in
Write each fraction or mixed number as a decimal. Use bar notation if needed
iragen [17]
There you good luck with everything

7 0
3 years ago
Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $6. On Saturday, Rob earned $44 babysitting.
Anon25 [30]

Answer:

Rob saved $24 on Saturday.

Step-by-step explanation:

Given:

Rob is saving to buy a new MP3 player.

Money earned in baby sitting = $11

Money saved =$6

First we will find the Percentage of amount he saved.

Percentage of amount he saved can calculated by Amount saved divided by total money earned and then multiplying by 100.

framing in equation form we get;

Percentage of amount he saved = \frac{6}{11} \times 100 \approx 54.55\%

Now Given:

Money earned in babysitting on Saturday = $44

We need to find the Money he saved on Saturday.

Money Saved can be calculated by Percentage of amount he saved multiplying by Money earned in babysitting on Saturday and then divided by 100.

framing in equation form we get;

Money Saved on Saturday = \frac{54.55}{100}\times 44 = \$24

Hence Rob saved $24 on Saturday.

8 0
3 years ago
HELP ME I NEED HELP QUICK
vova2212 [387]

Answer:

C

Step-by-step explanation:

8 0
3 years ago
2) Eight is 5 less than<br> twice the number R.
posledela

Answer:

8-5 times R

Step-by-step explanation:

you subtract 8-5 to get that answer and then you do less than twice the number r i think this is correct hope it helps :)

7 0
3 years ago
The percent of the U.S. population living in metropolitan areas has increased since 1950. Which model relates the percent as a f
chubhunter [2.5K]
The right answer is B: y=0.48x+58

8 0
3 years ago
Other questions:
  • Trent has an 6-foot tall tent in the shape of a square base pyramid with a base length of 14 feet and slant height of 8 feet. If
    15·1 answer
  • This map has a scale of 1cm to 6 km the road from ridlinton to carborough measured on the map is 6.6 cm long what is the length
    7·2 answers
  • What is the solution of the equation? -6 = 2/3x<br> a. = -9<br> b. = -6<br> c. = 4<br> d. = -4
    11·1 answer
  • I am a parallelogram. i have an area of 45m2. i have a base of 6 cm. what is my height?
    9·2 answers
  • Marla has $4.55 in dimes and quarters. If she has 7 more quarters than dimes, how many quarters does she have?
    7·1 answer
  • A garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15 what are the
    11·1 answer
  • Jenna's class brought in 40 pieces of fruit for a celebration and 18 pieces of fruit were eaten. What percentage of the fruit wa
    8·2 answers
  • Which point is graphed on the coordinate plane?
    8·2 answers
  • Help!! will give brainl.ly &lt;3
    10·1 answer
  • Hey, can somebody please help me with this? I think it might be A but I’m not completely sure. Can someone give their thoughts?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!