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irakobra [83]
3 years ago
10

An equilateral triangle has a semiperimeter of 6 meters. What is the area of the triangle? Round to the nearest square meter. 2

square meters 7 square meters 20 square meters 78 square meters
Mathematics
2 answers:
Lelu [443]3 years ago
8 0
I wanna say 7 is the neatest round
ale4655 [162]3 years ago
7 0
Ok so if the half of the perimeter is 6. 6×2=12...
There are three sides so 12/3 =4.......4m is the length of each side.
If we draw a line straight down the top of the triangle down to the middle of the base.....this line would be the height of the eq. triangle. This gives us a right triangle where a is unknown, b =2, and c=4
a^2+b^2=c^2
a^2+4=16
a=2×sqrt3
a is the height of the eq.

The area of the eq = 1/2× base × height

A=(1/2)×4×2sqrt3
A=6.93

So 7m^2 is the answer
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A crew is made up of 8 men; the rest are women. If 32 % of the crew are men, how many people are in the crew?
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Answer:

There are 33 people in the crew

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3 years ago
The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r
jolli1 [7]

Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)  

Step-by-step explanation:

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=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

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

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

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

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

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

7 0
3 years ago
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alexdok [17]

Answer:

C  89a + 2c)

Step-by-step explanation:

The largest factor of both 8 and 16 is 8.  So, 8 = GCF

factor out an 8 and you get 8(a + 2c)

To check if you are correct, multiply and see if you get what you started with.

3 0
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Answer:

I think Jenny will be able to do 9 pillows with the lace trim.

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Answer:

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