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
amm1812
3 years ago
6

The area of an equilateral triangle is given by A =3^1/2/4s^2. Find the length of the side s of an equilateral triangle with an

area of 12^1/2 square inches.
Mathematics
1 answer:
yan [13]3 years ago
3 0

Answer:

The length of the side of an equilateral traingle s=2\sqrt{2} inches

Step-by-step explanation:

Given that the area of an equilateral triangle is given by

A=3^\frac{1}{2}s^2

It can be written as

a=\frac{\sqrt{3}}{4} s^2 Square inches        (1)

To find the length of the side s os an equilateral triangle

Given that area of an equilateral triangle is 12^\frac{1}{2} square inches

It can be written as

A=12^\frac{1}{2}

A=\sqrt{12} square inches

It can be written as

A=12^\frac{1}{2}

A=\sqrt{12} square inches           (2)

Now comparing equations (1) and (2) we get

\frac{\sqrt{3}}{4}s^2=\sqrt{12}

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

Dividing by \frac{\sqrt{3}}{4} on both sides we get

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

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

s^2=8

s=\sqrt{8}

Therefore s=2\sqrt{2} inches

Therefore the length of the side of an equilateral traingle s=2\sqrt{2} inches

You might be interested in
What is the value of x in the diagram?
Ksenya-84 [330]
The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
3 0
4 years ago
I need help understanding this
ladessa [460]

Answer:

the first choice

Step-by-step explanation:

Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.

then it means if the events are independent then the probability is multiplying the probability of each event.

3 0
3 years ago
Need help with math homework
Nuetrik [128]

Answer:

c

Step-by-step explanation:

am not sure but I think its C am not shure

5 0
3 years ago
Given the revenue function R(x)= 100x −2x^2 (space) 1 ≤ x ≤ 30 and the cost function C(x)= 500 + 9x for a company, find the prof
ziro4ka [17]

well, once you take in all the Revenue from sales, and subtract all the costs that went in for the product, what's leftover is the Profit.

so then, profit P(x), is simply the revenue minus costs, namely P(x) = R(x) - C(x)

R(x)=100x-2x^2\hspace{5em}C(x)=500+9x \\\\\\ P(x)=(100x-2x^2)~~ - ~~(500+9x)\implies P(x)=91x-2x^2-500 \\\\\\ \stackrel{\textit{at a production of 25 units, x =25}}{P(25) = 91(25)-2(25)^2-500}\implies P(25)=\stackrel{2275-1250-500}{525}

3 0
2 years ago
I need help which one is it?
Vladimir [108]

Answer:

B. 3

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • A relation is a function if _____.
    10·1 answer
  • 44. Find f(-3) when f(x) = (x + 1)² +1.<br>[A] 4<br>[B] 10<br>[C] -3<br>[D] 5​
    14·1 answer
  • Бу + 2(2y + 3) = 16<br><br> I need help?!
    13·1 answer
  • Which function rule represents the data in the table?
    13·1 answer
  • Help me! <br><br> I need some serious help and fast it’s due in 1 hour
    10·1 answer
  • Which of the following equations has a solution x = 4? Select all that apply.
    5·2 answers
  • B + 12 = 16; 2, 3, 4
    9·1 answer
  • A chef uses one-half of his spices when cooking breakfast. two-thirds of the spices he uses of breakfast are used when making om
    8·2 answers
  • The sum of a number and two all divided by five.​
    5·1 answer
  • What does this mean? please help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!