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3 years ago

If the perimeter of an equilateral triangle is 6√3, find its area

Mathematics

2 answers:

Natalka [10]3 years ago

8 0

Answer:

3√3

Step-by-step explanation:

Side of an equilateral triangle: perimeter/3 = 2√3

Area of an equilateral triangle: side * side * √3 / 4 = 3√3

Anvisha [2.4K]3 years ago

3 0

The answer 3√3 fasure

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Amelia rented a DVD and it was due to be returned on 26 Nov. She actually returned it to the shop on 12 Dec. The rental shop app

svet-max [94.6K]

Answer:

144 (pounds? euros? idk what currency it is)

Step-by-step explanation:

there are 16 day between the date. 16 x 9 = 144

6 1

3 years ago

Read 2 more answers

Lionel’s work crew packages 150,087 bottles of water every day. If the crew works 5 days, how many bottles can they package in a

yawa3891 [41]

Answer:

im sorry this might not be exactly correct but the answer can be 1,050,609

Step-by-step explanation:

1 week= 7 days so

150,087 × 7 = 1,050,609

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3 0

2 years ago

(8x^3 - x) - (10x - 5x^2 - 3x^3) <br> Show your work.

sergeinik [125]

Let's simplify step-by-step.
8
x
3
−
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−
(
10
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−
5
x
2
−
3
x
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)
Distribute the Negative Sign:
=
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3
−
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−
1
(
10
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−
5
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2
−
3
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)
=
8
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5
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+
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3
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)
=
8
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10
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Combine Like Terms:
=
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=
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=
11
x
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+
5
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+
−
11
x
Answer:
=
11
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+
5
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−
11
x

Brainliest Please:)

6 0

3 years ago

Read 2 more answers

What are the numerical measures of each angle in the diagram? 1 and 3 measure degrees. 2 and 4 measure degrees. (3x - 1)º (2x +

Tanya [424]

Answer:

Step-by-step explanation:

In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.

Hence <1 = <3

Given < 1 = 3x-1 and <3 = 2x+9

Hence 3x-1 = 2x+9

collect like terms

3x-2x = 9+1

x = 10°

Since <1 = 3x-1

on substituting x = 10

<1 = 3(10)-1

<1 = 30-1

<1 = 29°

<1+<2 = 180 (angle on a straight line)

29+<2 = 180

<2 = 180-29

<2 = 151°

Similarly, on substituting x = 10 into <3

<3 = 2x+9

<3 = 2(10)+9

<3 = 20+9

<3 = 29°

<3+<4 = 180 (angle on a straight line)

29+<4 = 180

<4 = 180-29

<4 = 151°

3 0

3 years ago

Read 2 more answers

The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,

strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=400$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=80$ represent the population standard deviation

n=15 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$400-2.58\frac{80}{\sqrt{15}}=346.708$

$400+2.58\frac{80}{\sqrt{15}}=453.292$

So on this case the 99% confidence interval would be given by (346.708;453.292)

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

We need to find the degrees of freedom first df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.98$

Now we have everything in order to replace into formula (1):

$400-2.98\frac{80}{\sqrt{15}}=338.445$

$400+2.98\frac{80}{\sqrt{15}}=461.555$

So on this case the 99% confidence interval would be given by (338.445;461.555)

4 0

3 years ago

If the perimeter of an equilateral triangle is 6√3, find its area​

If the perimeter of an equilateral triangle is 6√3, find its area