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]
2 years ago
10

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

Mathematics
1 answer:
adoni [48]2 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
ILL GIVE BRAINLEYyyyyyyy
Fed [463]

Answer:

2+10x-x^2, the last answer

Step-by-step explanation:

3 0
3 years ago
A laptop producing company also produces laptop batteries, and claims that the batteries
gregori [183]

Answer:

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours. (P-value = 0).

The null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

Step-by-step explanation:

<em>The question is incomplete: To test this claim a sample or population standard deviation is needed.</em>

<em>We will estimate that the sample standard deviation is 2 hours, and use a t-test to test that claim.</em>

<em> NOTE (after solving): The difference between the sample mean and the mean of the null hypothesis is big enough to reject the null hypothesis, even when we have a sample standard deviation of 3.5 hours, which can be considered bigger than the maximum standard deviation for the sample.</em>

This is a hypothesis test for the population mean.

The claim is that the batteries power the laptops for significantly less than 4 hours.

Then, the null and alternative hypothesis are:

H_0: \mu=4\\\\H_a:\mu< 4

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=3.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=2.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{2}{\sqrt{500}}=0.0894

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{3.5-4}{0.0894}=\dfrac{-0.5}{0.0894}=-5.5902

The degrees of freedom for this sample size are:

df=n-1=500-1=499

This test is a left-tailed test, with 499 degrees of freedom and t=-5.5902, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the batteries power the laptops for significantly less than 4 hours.

5 0
3 years ago
Is 1/2 (8 - 4g) equivalent to 4 + 2g?
Crazy boy [7]

Answer:

no

1/2 (8 - 4g) is 4 - 2g

4 - 2g doesn't equal 4 + 2g

7 0
2 years ago
If you were to add 5 to my number and then divide by 4, you would get 7
Norma-Jean [14]
Let's make an equation. T will be the number.
(T+5)/4=7
Let's multiply both sides by 4 to get T by itself.
T+5=28
Subtract 5 from both sides.
T=23
Your number is 23.
3 0
2 years ago
Read 2 more answers
15 crackers weigh 69 grams. how many kilograms is this?
Marrrta [24]

Answer:

0.069\ kg

Step-by-step explanation:

we know that

1 kg=1,000 g

so

using proportion

Find out how many kilograms are 69 grams

Let

x -----> the weight in kg

\frac{1}{1,000}\frac{kg}{g} =\frac{x}{69}\frac{kg}{g}\\\\x=\frac{69}{1,000}\\\\x=0.069\ kg

6 0
3 years ago
Other questions:
  • Ellen, a political intern, analyzes poll data for Cal Stegall, a candidate for state legislature. She notices Stegall's populari
    14·2 answers
  • Evaluate the function
    6·1 answer
  • Which is the solution to the inequality?<br><br> 1/4 + x &lt; 5/8
    7·1 answer
  • Consider a function that describes how a particular cars gas mileage depends on its speed. What would be an appropriate domain f
    9·2 answers
  • Consider the equation 0.75⋅10^w/3=30
    14·1 answer
  • Find the weight of a 25kg table.
    9·2 answers
  • What would be the equation and answer for this problem!
    7·2 answers
  • The equation of a line is x = -4. Will this produce a horizontal, vertical, or diagnol line?
    9·1 answer
  • Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.
    15·1 answer
  • Help please !!!!!!!!!!!!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!