Advanced Placement (AP) High School

*trigonometry and area*
Find the area of a regular hexagon with a side length of 8 cm. Round to the nearest tenth.

Answers

Answer 1

Answer:

The correct answer is that the area of the regular octagon is 309 cm²

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)

Note: Same answer to question 14318729, answered by me today.

Answer 2

Answer:

166.3 cm^2 to nearest tenth.

Explanation:

A hexagon is made up of 6 equilateral triangles.

Area of 1 triangle = 1/2 * 8 * height.

Using trig to find the height:

tan 60 = h / 4

h = 4 tan 60  = 6.928 cm

So the area of a triangle = 1/2 * 8 * 6.928

and area of the hexagon = 6 * 1/2  * 8 * 6.928

= 166.28 cm^2.

Related Questions

BEST ANSWER GETS BRAINLIEST!!!!

Which is true about Freud’s dream theory?

It is not supported by scientific research.
It explains the impact of random neural firings.
It is well accepted among scientists.
It suggests that daily experiences do not influence dreams.
It explains dreams as a symptom of psychological disorder.

Answers

The true about Freud’s dream theory suggests that daily experiences do not influence dreams. It explains dreams as a symptom of psychological disorder.

What is Freud’s dream theory?

Freud's dream theory stated that the distinction between manifest and latent dreams, as well as the fact that the Freudian dream-work is actually the result of information processing and self-organization in the sleeping brain, are all used to explain why dreams are a byproduct of the dreamer's physical and mental state during sleep.

Psychology disorder is defined as a persistent problematic thinking, feeling, or behavior pattern that significantly distresses the individual and is seen as abnormal in their culture or society.

It can also be defined as a disorder marked by painful, problematic, and/or unusual sensations, thoughts, and actions.

Thus, the true about Freud’s dream theory suggests that daily experiences do not influence dreams. It explains dreams as a symptom of psychological disorder.

To learn more about Freud’s dream theory, refer to the link below:

https://brainly.com/question/28200531

#SPJ2

The development of popular literary forms, such as Japanese Kabuki theater,
1. restricted the use of the performing arts to the political elite
2. caused a decline in literacy rates among most urban dwellers
3. provided an opportunity for writers, artists, and actors to acquire higher social standing
4. gave merchants the opportunity to acquire political and economic prestige

Answers

Answer:

The answer is number 3, provided an opportunity for writers, artists and actors to acquire higher social standing.

Explanation:

The Japanese Kabuki theater flourished in the 17th century. It came about when a girl named "Izumo no Okoni" started a new style of dancing. It caught the attention of many people and it gradually became popular.

Kabuki is a form of Japanese drama that incorporates music, dancing and acting in one. The actors wear colorful costumes and most of the time, their play depicts the happenings in society. This spark the interest of many writers, artists and actors who were eager to express themselves through the play. Thus, they became popular and were able to acquire higher social standing because people recognized them well.

Number 1 is incorrect because the Japanaese Kabuki theater was also played in town. This means many towns people witnessed it.

Number 2 is incorrect because Japanese Kabuki theater actually increased the people'es literacy rate. Many people learned what was happening in society through the actors and the message of the play.

Number 4 is incorrect because the Japanese Kabuki theater was already happening when the merchants were in economic prestige. It wasn't the reason why they rose on the social and economic scale.

Thus, number 3 is correct.

*Trigonometry and area*
Find the area of a regular pentagon with a side length of 8cm. Round to the nearest tenth

Answers

Answer:

110.1 cm^2 to nearest tenth.

Explanation:

The area  consists of 5 isosceles triangles with base angles 1/2 * 108 = 54 degrees.

Using trigonometry to find the height of these triangles:

tan 54 = h / (1/2 * 8)

tan 54 = h / 4

h = 4 tan 54

h = 5.506 cm.

The area of a triangle = 4 * 5.506 = 22.024 cm^2

So the area of the pentagon 5 * 22.024

= 110.12 cm^2.

in an experiment exploring the effects of sleep deprivation on memory, the factor of memory would be the...
a.) independent variable
b.) confounding variable
c.) dependent variable
d.) hypothesis
e.) control group​

Answers

Answer:

Dependent variable

Explanation:

Memory is the dependent variable in this context, since the researcher is trying to test the effect of sleep deprivation (independent variable) on memory (dependent variable). Thus, the variation of the experimental treatment would be applied to the sleep deprivation - perhaps by using a control group (people who did not experience sleep deprivation), or creating different sleep deprivation length to test if there are differences in the quality of memory encoding, storage, or retrieval.

BEST ANSWER GETS BRAINLIEST!!!!!!

Dora has been asleep for about an hour and a half minutes, her heart beats faster, her breathing is uneven and quick, and her eyes move back and forth with the eye lids shut. Dora has most likely entered what stage of sleep?

stage 1
stage 2
stage 3
stage 4
REM Sleep

Answers

Answer:

REM sleep

Explanation:

usually REM sleep happens about and hour and a half after you fall asleep. your heart rate and breathing quickens, and your eyes move rapidly. dreaming occurs during this stage due to increased brain activity.

REM sleep

Her eyes moving back and forth give a sense of her having a vivid dream in which mainly occurs during the REM sleep stage

what were some major changes in economic developments and innovations from 1750-1900?

Answers

Adam Smith developed ideas of capitalism. Capitalism is the idea that people and businesses are free to use their money without government intervention. Soon we see mercantilism fade away. Mercantilism is the idea of using colonies to trade with other countries and produce foreign goods. Mercantilism would no longer be the dominant economic policy and be replaced by capitalism.

Answer:

Adam Smith developed ideas of capitalism.

Explanation:

Capitalism is the idea that people and businesses are free to use their money without government intervention. Soon we see mercantilism fade away. Mercantilism is the idea of using colonies to trade with other countries and produce foreign goods. Mercantilism would no longer be the dominant economic policy and be replaced by capitalism

Target due: Today
:
Over the past few centuries, Earth's human population has increased at an exponential rate. What effect has this had on worldwide energy use during this
time? (2 points)

Answers

Answer:

hi im mmmmdvkvbdfkvbb kdf

Explanation:

Answer:

To support the growing population, there would be the need for more energy. Every human uses energy in a way. The use of energy would also increase at an exponential rate, as well for the production of energy. Although, non renewable energy resources would continue to plummet down to zero.

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