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nignag [31]
3 years ago
11

What is the area of a regular 15-gon with a perimeter of 90 m ?

Mathematics
1 answer:
7nadin3 [17]3 years ago
8 0
We are given with  a regular 15-gon with a perimeter of 90 meters. In this case, side length is equal to 90/15 or 6 m. The angle inside the center is 360/15 or 24 degrees. We determine the area of each triangle (15 of them) and just multiply by 15 to get the total area. The height of each triangle is tan (12) = 3/ h where h is equal to 14.11 meters. Hence the area is 0.5*14.11*6*15 or equal to 635.13 meters.
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Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o
zhenek [66]

Answer:

The p-value would be 0.0939

Step-by-step explanation:

We can set a standard t-test for the Null Hypothesis that H_0: 18.2\geq 17

The test statistic then takes the form

t=\frac{18.2-17}{3.9/\sqrt{15}}=1.317

with this value we then can calculate the probability that is left to the right of this value P(X>1.317). From theory we know that t follows a standard normal distribution. Then P(X>1.317)=0.0939 which is smaller than the p-value set by Breyers of 0.10

3 0
3 years ago
The long-distance calls made by the employees of a company are normally distributed with a mean of 6.3 minutes and a standard de
Sergio [31]

To solve this problem, we use the formula:

z = (x – u) / s

where z is the z score value which can be obtained from the tables, x is the sample value, u is the mean = 6.3 min, and s is the std dev = 2.2 min

 

at P value = 0.90, the z = 1.28, finding for x:

x = z s + u

x = 1.28 * 2.2 + 6.3

x = 9.116

 

at P value = 1.0, the z = 3.49, finding for x:

x = z s + u

x = 3.49 * 2.2 + 6.3

x = 13.978 ~ 14

 

Therefore the longest 10% calls last about 9.1 minutes to 14 minutes

3 0
4 years ago
What is 8/9 of 360 degree ?
andriy [413]

Answer:

320 degrees.

Step-by-step explanation:

4 0
3 years ago
In the regular octagon below, if AP = 12 cm. and BC = 19 cm, find its area.
Blizzard [7]

First symmetrically cut the octagon to get 8 pieces. (So that you will get the idea that this polygon is divided into 8 triangles)

Then find the area of one of the triangles:

Area of Triangle = \frac{1}{2} * b* h

A = \frac{1}{2} × 12 × 19

A = 114 cm²

To find the area of the whole octagon shape:

A = 114 × 8 = 912 cm²

<em>Hope it helps!</em>

5 0
2 years ago
Read 2 more answers
Consider the inequality -20.2 &gt; 0y. Which of the following must be true? Check all that apply.
Lunna [17]

Answer:

1.  You cannot divide by zero.

2. The inequality is equivalent to -20.2 > 0, which is false.

5 0
3 years ago
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