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
Cloud [144]
3 years ago
10

Could someone please explain how to solve for the area?

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0

9514 1404 393

Answer:

  6.9 m²

Step-by-step explanation:

All of the sides are the same length. The altitude meets the base at its midpoint, so the altitude (h) of the triangle can be found using the Pythagorean theorem.

  h² + 2² = 4²

  h² = 12

  h = 2√3

Then the area is ...

  A = 1/2bh

  A = (1/2)(4 m)(2√3 m) = 4√3 m² ≈ 6.9 m²

___

If you work through the above area formula in generic terms, you find the area of an equilateral triangle to be ...

  A = (s²/4)√3 . . . . . where s is the side length

Another approach is to treat the figure as a 3-gon and use the n-gon area formula that uses the perimeter. That formula is derived here brainly.com/question/22386162

It is ...

  A = P²/(4n·tan(180°/n))

For a triangle with side length s, this is ...

  A = (3s)²/(4·3·tan(60°) = (s²/4)√3 . . . . same as above

Ipatiy [6.2K]3 years ago
6 0

Answer:

area of equilateral TRAINGLE =√3/4 A²=√3/4×4²=6.9mi² is your answer

You might be interested in
What is 0.4 divided by 5.12 in long division
Svetradugi [14.3K]
Start by mult. both 0.4 and 5.12 by 100.  What is 40 divided by 512?

        ___.078_______________
512 /  40.000
           3584
          -----------
             4160
             4096
           ---------
                 64              and so on.   Calculator answer is 0.078125.
3 0
3 years ago
Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an
Helen [10]

Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y.  We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

7 0
3 years ago
* Use order of operations to solve the following.
Bingel [31]
The answer is 100 if that 5 and 2 is separate
3 0
3 years ago
Read 2 more answers
Suppose you are driving to visit a friend in another state. you are driving 55 miles per hour. you must drive 440 miles total. i
Oliga [24]
Time=(distance)/(speed)
speed=55 mi/hr
Total distance=440 miles
Distance covered=275 miles
remaining distance=440-275=165 miles
Time taken to cover the remaining distance will be:
time=165/55=3 hours

Total time taken to travel=440/55=8 hours
if we are to use the equation given by:
55h+275=440
time taken will be found by solving for h, thus we shall have:
55h=440-275
55h=165
h=165/55
h=3 hours

Answer: 3 hours

7 0
3 years ago
-(-9)_l-9l is it grater than or less than or eqaul to?
emmainna [20.7K]

Answer:

Equal to

Step-by-step explanation:

Hello!

Let's simplify the left side:

  • - ( -9 )          
  • 9

Remember that the negative sign also means opposite, so the opposite of negative 9 is positive 9.

Let's simplfy the right side:

  • | - 9 |
  • 9

Remember that in an absolute value bracket, any positive value stays positive, but any negative value turns to the positive value.

So the inequality is 9 _ 9

Therefore the sign should be "=" as 9 is equal to 9.

7 0
2 years ago
Read 2 more answers
Other questions:
  • HELP ME THANKS ;) for number 1 through 11 QUICKLY
    7·1 answer
  • Forty more than twice malia's age is 64
    13·2 answers
  • Question 1 of 10
    9·2 answers
  • If BC= 6.5, CD= 7.8, and AD=12.2, find AB to the nearest tenth
    9·1 answer
  • When two so sided dice are rolled there are 36 outcomes. Find the probability that the sum is not 4.
    6·1 answer
  • Help me please please help me
    11·1 answer
  • A washer and a dryer cost $596 combined. The washer costs $54 less than the dryer. What is the cost of the dryer?
    5·1 answer
  • How would your answer change if the pictures were 10 inches wide? Explain.
    14·1 answer
  • A math test has 10 multiple-choice questions, each with 3 answers to choose from. If a person taking this test were to guess on
    6·1 answer
  • Find the total surface area of this cuboid
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!