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3 years ago

How do I do this? It is a regular hexagon with a height of 30. We have to find the perimeter of it.

Mathematics

1 answer:

Sliva [168]3 years ago

8 0

Answer:

The radius of a hexagon is called the apothem, which in this case is 15.

We need to know the side length which is found by the equation:

side length = apothem * 2 * (tan (180 / #sides))

side length = apothem * 2 * (tan (180 / 6))

side length = 15 * 2 * (tan (30 degrees))

side length = 30 * .57735

side length = 17.3205

We need the perimeter of the hexagon which equals the side length times six.

perimeter = 6 * 17.3205 = 103.923

Source: https://www.1728.org/polygon.htm

Step-by-step explanation:

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3 years ago

A random sample of a specific brand of snack bar is tested for calorie count, with the following results: Assume the population

LenKa [72]

Answer:

The 95% confidence interval for the population mean (calorie count of the snacks bars) is (130.32, 161.68).

Step-by-step explanation:

The question is incomplete:

"A random sample of a specific brand of snack bar is tested for calorie count, with the following results: 149, 145,140,160,149,153,131,134,153. Assume the population standard deviation is σ=24 and that the population is approximately normal. Construct a 95% confidence interval for the calorie count of the snack bars."

We start by calculating the mean of the sample:

$M=\dfrac{1}{9}\sum_{i=1}^{9}(149+145+140+160+149+153+131+134+153)\\\\\\ M=\dfrac{1314}{9}=146$

We have to calculate a 95% confidence interval for the mean.

The population standard deviation is know and is σ=24.

The sample mean is M=146.

The sample size is N=9.

As σ is known, the standard error of the mean (σM) is calculated as: $\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{24}{\sqrt{9}}=\dfrac{24}{3}=8$

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=1.96 \cdot 8=15.68$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 146-15.68=130.32\\\\UL=M+t \cdot s_M = 146+15.68=161.68$

The 95% confidence interval for the population mean is (130.32, 161.68).

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3 years ago

foster is centering a photo that is 3 1/2 inches wide on a scrapbook page that is 12 inches wide. How far from each side of the

prohojiy [21]

This means that we have to didvide the 12 inches wide side into 3 parts: one of 3.5 inches, and two other, of equal size (the margins).

the margins together will have (12-3.5=8,5) inches, which means that each of them will hace half of this: so we have to divide 8.5 into 2.

this is: :

8.5/2=4.25

so he has to to put it 4.25 inches from each side.

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3 years ago