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
Kitty [74]
3 years ago
10

Halla el área de un triángulo equilátero de 54 cm de perímetros

Mathematics
1 answer:
adoni [48]3 years ago
5 0

Answer:

Area of equilateral triangle = 81√3 cm²

Step-by-step explanation:

Given:

Perimeter of an equilateral triangle = 54 cm

Find:

Area of equilateral triangle

Computation:

Perimeter of an equilateral triangle = 3 x Side

54 = 3 x Side

Side of equilateral triangle = 54 / 3

Side of equilateral triangle = 18 cm

Area of equilateral triangle = [√3/4]side²

Area of equilateral triangle = [√3/4][18]²

Area of equilateral triangle = [√3/4][324]

Area of equilateral triangle = [√3][81]

Area of equilateral triangle = 81√3 cm²

You might be interested in
write an expression that describes the number of points scored on touchdowns t and points after touchdowns p by one team in a ga
Len [333]
A touchdown is scored 6 points for each touchdown and the points made after a touchdown is scored 2 points each. We are given the following variables:

t = number of touchdowns
p = number of points after a touchdown

Total score = 6t + 2p

Where 6 times t is the total score given by the number of touchdowns multiplied by 6 points, the same goes for the expression 2p. 
6 0
3 years ago
The volume of a cube is 8in to the 3 how long is each side
Alex777 [14]
It is 24in cube value 8 times 3 equals 24
3 0
3 years ago
A national grocery store chain wants to test the difference in the average weight of turkeys sold in Detroit and the average wei
Arte-miy333 [17]

Answer:

<em>Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom</em>

<em>The null hypothesis is accepted . </em>

<em>Assume the population variances are approximately the same</em>

<u><em>Step-by-step explanation:</em></u>

<u>Explanation</u>:-

Given data a random sample of 20 turkeys sold at the chain's stores in Detroit yielded a sample mean of 17.53 pounds, with a sample standard deviation of 3.2 pounds

<em>The first sample size  'n₁'= 20</em>

<em>mean of the first sample 'x₁⁻'= 17.53 pounds</em>

<em>standard deviation of first sample  S₁ = 3.2 pounds</em>

Given data a random sample of 24 turkeys sold at the chain's stores in Charlotte yielded a sample mean of 14.89 pounds, with a sample standard deviation of 2.7 pounds

<em>The second sample size  n₂ = 24</em>

<em>mean of the second sample  "x₂⁻"= 14.89 pounds</em>

<em>standard deviation of second sample  S₂ =  2.7 poun</em>ds

<u><em>Null hypothesis</em></u><u>:-</u><u><em>H₀</em></u><em>: The Population Variance are approximately same</em>

<u><em>Alternatively hypothesis</em></u><em>: H₁:The Population Variance are approximately same</em>

<em>Level of significance ∝ =0.05</em>

<em>Degrees of freedom ν = n₁ +n₂ -2 =20+24-2 = 42</em>

<em>Test statistic :-</em>

<em>    </em>t = \frac{x^{-} _{1} -  x_{2} }{\sqrt{S^2(\frac{1}{n_{1} } }+\frac{1}{n_{2} }  }

<em>    where         </em>S^{2}   = \frac{n_{1} S_{1} ^{2}+n_{2}S_{2} ^{2}   }{n_{1} +n_{2} -2}

                      S^{2} = \frac{20X(3.2)^2+24X(2.7)^2}{20+24-2}

<em>              substitute values and we get  S² =  40.988</em>

<em>     </em>t= \frac{17.53-14.89 }{\sqrt{40.988(\frac{1}{20} }+\frac{1}{24}  )}<em></em>

<em>  </em>   t =  1.3622

  Calculated value t = 1.3622

Tabulated value 't' =  2.081

Calculated value t = 1.3622 < 2.081 at 0.05 level of significance with 42 degrees of freedom

<u><em>Conclusion</em></u>:-

<em>The null hypothesis is accepted </em>

<em>Assume the population variances are approximately the same.</em>

<em>      </em>

<em>                        </em>

<em>                    </em>

6 0
2 years ago
What is the greatest common factor of 32,24,40
Mandarinka [93]

The GCF of 24, 32, and 80 must be 8, since it is the largest number common to both lists. Example 1 Find the greatest common factor of each set of numbers by listing factors.
8 0
3 years ago
Need help!! Please!! Offering 20 points!
pshichka [43]

Answer:i

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • How many times as large is the approximate radius of mercury atom, 1.5 x 10 meter, as the approximate radius of a hydrogen atom,
    15·1 answer
  • Is 81 a multiple of 3
    8·2 answers
  • What is the measure of x?
    7·2 answers
  • Which equation represents the graph?
    15·1 answer
  • Look at the following numbers:<br> -4, -1,0,4<br> Which pair of numbers has a sum of 0?
    5·2 answers
  • Wilbur's Bean Emporium serves barbeque sandwiches over the lunch hour. The marginal cost of the 50 th barbeque sandwich is $1.50
    6·1 answer
  • When an exponent of a power is an even number and the base is a negative number, the value is always:
    14·2 answers
  • Need help with this!!! Only have a few minutes left!!!
    9·1 answer
  • A large company put out an advertisement in a magazine for a job
    14·1 answer
  • 2. Select all the irrational numbers. *
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!