How many acute angles does a octagon have?

Answers

Answer 1

Answer: A regular octagon has zero acute angles. an acute angle has a measure of less than 90°. A regular octagon has a total angle measurement of 1080°, so each angle has a measurement of 135° (Since 1080 / 8 = 135), which is greater than 90°. Therefore, the answer to your question is an octagon has 0 acute angles.
Hope that helped =)

Answer 2

Answer:

In summary, a regular octagon does not have any acute angles, while an irregular octagon can have some acute angles depending on the specific measurements of its angles.

An octagon is a polygon with eight sides. To determine the number of acute angles in an octagon, we need to understand that an acute angle is an angle that measures less than 90 degrees.

In a regular octagon (where all sides and angles are equal), each interior angle measures 135 degrees. This is because the sum of the interior angles in any octagon is given by the formula (n-2) x 180 degrees, where n is the number of sides.

In this case, (8-2) x 180 = 1080 degrees. Since all angles in a regular octagon are equal, we divide 1080 by 8 to find that each angle measures 135 degrees.

Since an acute angle measures less than 90 degrees, a regular octagon does not have any acute angles.

However, if we consider an irregular octagon (where sides and angles can have different measures), it is possible for some of the angles to be acute. The number of acute angles in an irregular octagon would depend on the specific measurements of the angles.

To know more about octagons follow

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640, 160, 40, 10, ...Which correctly describe the graph of the geometric sequence? Check all that apply.

The graph will show exponential growth.

The graph will appear linear.

The domain will be the set of natural numbers.

The range will be the set of natural numbers.

The graph will show exponential decay.

Answers

Answer:

Option 3 and 5 are correct

Step-by-step explanation:

We have given a geometric series 640,160,40,10....

Common ratio of geometric series is $r=(a_2)/(a_1)$

$r=(160)/(640)=(1)/(4)<0$

Here our common ratio is less than zero

It will show the graph of exponential decay

Hence, option 5 is correct.

The general term of geometric series is $a_n=a\cdotr^(n-1)$

Domain will be all natural numbers since, geometric series take only natural numbers.

Here, values of "n" is domain

Hence, option 3 is correct.

Range can be any positive real numbers not only natural number

Range is the value of $a_n$

Hence, option 4 is discarded.

Graph can not be linear of a geometric series being exponential

Hence, option 2 is discarded.

Option 1 is discarded because it is exponential decay function so it can not be exponential growth.

Therefore, Option 3 and 5 are correct.

Answer:

The options that hold true are:

The domain will be the set of natural numbers.

The graph will show exponential decay.

Step-by-step explanation:

We are given a geometric sequence as:

640, 160, 40, 10, ...

Clearly we see that each term is decreasing at a constant rate as compared to it's preceding term.

Hence, the graph formed by this sequence will be a exponential graph with decay .

( since, the terms of the sequence are decreasing)

The sequence could be modeled as:

Let $a_n$ represents the nth term of the sequence.

Hence,

$a_n=640\cdot (1)/(4^(n-1))$

As, the sequence is geometric hence the domain will be a set of natural numbers.

but the range will be positive real numbers.

Hence, the correct option is:

The domain will be the set of natural numbers.

The graph will show exponential decay

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Answers

Answer:

The best measure of center is median = 37.50.

Step-by-step explanation:

The complete question is:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

The best measure of center for this data set is the , and its value expressed up to one decimal place is?

Solution:

The three measures of center are:

Mean
Median
Mode

The mean is the average value of the data set and uses all the values of the data set.

The median is the middle value of the data set.

Mode is the value of the data st with the highest frequency or number of occurrence.

Compute the mean, median and mode of the data set provided as follows:

$\text{Mean}=(1)/(n)\sum X=(1)/(14)* [36+18+....+72+29]=40.57$

So, the mean is 40.57.

The data set in ascending order is:

{16, 18, 28, 29, 35, 36, 37, 38, 40, 41, 44, 66, 68, 72}

There are 14 values in the data set. That is an even data set.

The median for an even data set is the average of the middle two values.

The middle two values are: 37, 38

Average of {37, 38} = $(37+38)/(2)=37.50$

So, the median is 37.50.

None of the values are repeating itself. Thus, the data does not have a mode.

For the provided data:

Mean > Median

Implying that the data set is right-skewed.

For a skewed distribution or data set the median is the measure of center.

Thus, the best measure of center is median = 37.50.

Circle the division problem that does not belong with the other three. Explain.Write one that does belong 621/6 384/3 719/7 514/5

Answers

Answer:

384/3

Step-by-step explanation:

^^Is the only one that equals a whole number the rest have decimals

4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

$Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }$

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

$Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }$

$Distance = √(61)$

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

Elisa has 6 1/4 pounds of flour. She would like to divide the flour equally into 5 bags. How much flour will be in each bag? 1 1/4 11 1/4 31 1/4

Answers

Answer:

1 1/4

Step-by-step explanation:

All this is, is division. You do 61/4 dived by 5. To divide fractions you flip the numerator and denominator of the second number and multiply them.

25/4 *1/5

Therefore the answer is 25/20 which is 1 and 5/20

That can be simplified to 1 and 1/4.

What does a straight line on a distance time graph mean

Answers

It means the speed (velocity) was constant - the object traveled the same distance per time period throughout the graph.

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