The following triangular prism has a base that is a right triangle.

Find the area of the regular octagon if the apothem is 4.2 and a side is 3.4 In. Round to the nearest whole number. A. 114 B. 57

Elena-2011 [213]

The area of the regular octagon is calculated as half of the product of the perimeter and the apothem (ap), using the formula of the area of the regular polygon.
We have then:
A = ((p) * (ap)) / 2
Where,
p: perimeter
ap: apotema
Substituting values:
A = ((8 * 3.4) * (4.2)) / 2
A = 57.12 in ^ 2
Answer:
the area of the regular octagon is:
B. 57

6 0

3 years ago

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14, 8, 17, 21, x, 11,<br> 3, 13; range: 20

MakcuM [25]

Answer:

x = 1

Step-by-step explanation:

When you subtract the smallest number from the biggest number, the answer is called the range. Here the largest number is 21. The smallest is 3. Then the range should be 18. But since it's 20. This mean that x is 1. Because 21 - 1 will equal 20, making 20 the range. So the correct answer is 1.

6 0

3 years ago

An automobile manufacturer has given its van a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contracted t

Fynjy0 [20]

Answer:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

Step-by-step explanation:

Information given

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic

$p_v$ represent the p value

Hypothesis to test

We want to test if the true mean is equal to 31.3 MPG, the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, the statistic is given by

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

Replacing we got:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

The p value for this case would be given by:

$p_v =2*P(z$

For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 31.3 MPG

4 0

3 years ago

The perimeter of a square is 32cm. what is the lenght of each side

pshichka [43]

Answer:

Step-by-step explanation:

For a square, P = 4s, where s is the length of one side.

Thus, 32 cm = 4s, and s = 8 cm

8 0

3 years ago

What is 10-c equal to

labwork [276]

10 because when you put c minus 10 is 10 since theres nothing there

3 0

3 years ago

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