A circle is inscribed in a regular hexagon with side length 10 feet. what is the area of the shaded region? a circle is inscribed in a regular hexagon with side length 10 feet. an apothem and 2 raddi are drawn to form 2 triangles with angles 30, 60, and 90 degrees. the area between the circle and the hexagon is shaded. recall that in a 30 â€" 60 â€" 90 triangle, if the shortest leg measures x units, then the longer leg measures xstartroot 3 endroot units and the hypotenuse measures 2x units. (150startroot 3 endroot â€" 75Ï€) ft2 (300 â€" 75Ï€) ft2 (150startroot 3 endroot â€" 25Ï€) ft2 (300 â€" 25Ï€) ft2

Answers

Answer 1

The area of the shaded region is 150√3 - 50π square feet.

To solve this problem, we need to find the area of the regular hexagon and subtract the area of the inscribed circle.

The area of a regular hexagon with side length s is given by the formula:

⇒   A = (3√3 / 2) s^2

Substituting s = 10 feet, we get:

⇒  A = (3√3 / 2) (10 feet)^2

⇒  A = (3√3 / 2) (100 square feet)

⇒  A = 150√3 square feet

The area of a circle inscribed in a regular hexagon with side length s is given by the formula:

⇒  A = πs^2 / 2

Substituting s = 10 feet, we get:

⇒  A = π (10 feet)^2 / 2

⇒  A = 50π square feet

Therefore, the area of the shaded region is:

⇒ 150√3 - 50π square feet.

If you want a numerical approximation, you can use a calculator to evaluate the expression as:

150√3 - 50π = 187.08 square feet (rounded to two decimal places)

Therefore, the area of the shaded region is approximately 187.08 square feet.

The complete question is

A circle is inscribed in a regular hexagon with side length 10 feet. what is the area of the shaded region?

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A Circle Is Inscribed In A Regular Hexagon With Side Length 10 Feet. What Is The Area Of The Shaded Region?

Related Questions

if your oven uses a 220.0 volt line and draws a maximum 8.00 A current what is the resistance of the oven when it is fully heated

Answers

Answer:

27.5 ohms

Explanation:

V = IR

V / I = R

220/8 = 27.5 Ohms

The energy emitted from a single photon is 1.68 x 10^-27 Joules. Which of the following is most likely the type of electromagnetic wave that was
emitted?

The energy emitted from a single photon is 1.68 x 10^-27 Joules. Which of the following is most likely

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PLEASE HELP ME I AM TIMED!

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I believe The answer is B
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A plane can fly 390 miles in the same time as it takes a car to go 120 miles. If the car travels 90 mph slower than the plane, find the speed of the plane.

Answers

thats a hella slow plane

a pole is any material that attracts iron and materials that contain iron. true or false

Answers

True, a pole is any material that attracts iron and this is known as magnetism. This is due to the fact that iron is a ferromagnetic material, which means it has a strong attraction to magnetic fields.

However, not all materials that contain iron are necessarily magnetic. Iron is commonly found in a variety of materials such as steel, iron ore, and cast iron, among others. However, other elements can be added to these materials, altering their magnetic properties.

For example, adding carbon to iron creates steel, which can be made into both magnetic and non-magnetic forms. Additionally, some materials that contain iron, such as aluminum or copper, are not magnetic at all. So while it is true that a pole is any material that attracts iron, not all materials that contain iron are necessarily magnetic.

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PLEASE HELP !!!
Which types of decay cannot result in transmutation of the parent nucleus

A) gamma only

B) alpha and beta

C) alpha only

D) alpha and gamma

Answers

Gamma decay cannot result in the transmutation of the parent nucleus. Therefore, option (A) is correct.

What is Gamma Decay?

Gamma decay can be described as the emission of electromagnetic radiation of a high frequency that is a high energy, giving out excess energy to stabilize the unstable nucleus. Gamma rays can be defined as a stream of high-energy radiation given off by a nucleus undergoing radioactive decay.

Gamma decay can be described as the nucleus dropping from a higher energy level to a lower energy level through the emission of high-energy photons.

Therefore, the gamma-ray emitted is also of very high energy, just like x-rays. Due to their high energy of gamma rays, they are penetrating and thereby dangerous to biological life forms.

In the transmutation of an element, one element is converted into another element. In gamma decay, the transmutation of the parent nucleus does not take place. As the gamma-ray high-energy particles are represented as ⁰γ₀.

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what are the steps to form a igneous rock

Answers

Answer:

igneous rocks are formed through the cooling and solidification of magma or lava. As hot, molten rock rises to the surface, it undergoes changes in temperature and pressure that cause it to cool, solidify, and crystallize.

W=225 J
P=25 W
t=?
what's T

Answers

Answer:

T is 9s.

Explanation:

In power formula Power (P) = work done(W)/time (t) . Make time(T) the subject.

Therefore time is work done÷ power

Time (T) = 225J÷25W

Time(T) = 9s

Therefore T is 9s.

5. A.63kg ball is moving at 4.3 m/s. What is the momentum of the ball?

Answers

->p= mv
->p= 63kg*4.3m/s
->p=270.9 Kgm/s

You've already recorded three probe readings for Patient D's maxillary right central
incisor on her chart. How many more readings should be made and recorded for that
tooth?
A) One
OB) Three
C) Two
OD) Zero

Answers

Based on the information provided, the correct answer is A) One.

Since three probe readings have already been recorded for Patient D's maxillary right central incisor, one more reading should be made and recorded to complete the set.

The acceleration due to gravity on the Moon is gM. Suppose an astronaut on the Moon drops an object from a height of H. The time it would take the object to reach the Moon’s surface would be TM. The same object is dropped from the same height on Earth, where the acceleration due to gravity is gE. The time it takes the object to reach the Earth’s surface is TE. Which of the following is a correct mathematical relationship for the two times?A. TE = √gE/gM . TM B. TE = √gM/gE . TMC. TE = gE/gM . TM D. TE = gM/gE . TM E. TE = TM

Answers

The correct mathematical relationship for the two times is Option B: TE = √gM/gE . TM.

What is gravity?

Gravity is a natural phenomenon that causes objects with mass to be attracted to one another. It is one of the four fundamental forces in nature and is responsible for the formation and structure of galaxies, stars, and planets. Gravity is experienced as a force pulling objects towards each other. The strength of gravity depends on the distance between two objects, as well as their masses.

This is because the acceleration due to gravity is inversely proportional to the time taken for an object to fall. The equation for this is:
Time = √2*Distance/Acceleration.
Therefore, if we substitute the values for the Moon and Earth in this equation, we get:
TE = √gM/gE . TM
where gM and gE are the accelerations due to gravity on the Moon and Earth, respectively, and TM and TE are the times taken for the object to reach the Moon's and Earth's surfaces, respectively.

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Lorentz Force Law: 1. A proton has a velocity of ū = (4. 33 x 106m/s)î when it encounters a magnetic field B (0. 0288T)). (a) What is the force, i on the proton due to the magnetic field? (b) What is the radius of the circular path the proton is now in? 202 y 107mis into

Answers

According to the given statement , the radius of the circular path the proton is now in is approximately 0.023 meters.

The Lorentz Force Law describes the force experienced by a charged particle moving in a magnetic field. Let's answer each part of the question step by step.

(a) To find the force on the proton due to the magnetic field, we can use the formula for the Lorentz force:

F = qvB

Where F is the force, q is the charge of the proton, v is its velocity, and B is the magnetic field strength.

Given:
q = charge of the proton = 1.6 x 10⁻¹⁹ C (coulombs)
v = velocity of the proton = 4.33 x 10⁶ m/s (meters per second)
B = magnetic field strength = 0.0288 T (tesla)

Substituting these values into the formula, we get:

F = (1.6 x 10⁻¹⁹ C)(4.33 x 10⁶ m/s)(0.0288 T)

Evaluating this expression, we find:

F ≈ 2.89 x 10⁻¹³ N (newtons)

Therefore, the force on the proton due to the magnetic field is approximately 2.89 x 10⁻¹³ N.

(b) To find the radius of the circular path the proton is now in, we can use the formula for the radius of a circular motion:

r = mv / (qB)

Where r is the radius, m is the mass of the proton, v is its velocity, q is its charge, and B is the magnetic field strength.

Given:
m = mass of the proton = 1.67 x 10⁻²⁷ kg (kilograms)
v = velocity of the proton = 4.33 x 10⁶ m/s (meters per second)
q = charge of the proton = 1.6 x 10⁻¹⁹ C (coulombs)
B = magnetic field strength = 0.0288 T (tesla)

Substituting these values into the formula, we get:

r = (1.67 x 10⁻²⁷ kg)(4.33 x 10⁶ m/s) / ((1.6 x 10⁻¹⁹ C)(0.0288 T))

Evaluating this expression, we find:

r ≈ 0.023 m (meters)

Therefore, the radius of the circular path the proton is now in is approximately 0.023 meters.

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PLZZ ANSWER THE QUESTION ​

PLZZ ANSWER THE QUESTION

Answers

Answer:

a

Explanation:

A child is sitting on a merry-go-round 2.8 m from the
center. If the tangential velocity of the ride is 0.89 m/s,
what is the centripetal acceleration of the dragonfly?
A. 0.11 m/s2
C. 0.32 m/s2
B. 0.28 m/s2
D. 2.2 m/s2

Answers

Answer:

b

Explanation:

a=v2/r

=0.89^2/2.8

=0.2828...

=0.28

The centripetal acceleration of the child sitting on a merry-go-round 2.8 m from the center will be 0.283 m/s².

What is centripetal acceleration?

Centripetal acceleration is the constant change in velocity necessary for an object to maintain a circular path. We can write the formula for centripetal acceleration as -

a[C] = v[T]²/r

where -

v[T] is tangential velocity

r is radius

Given is a child is sitting on a merry-go-round 2.8 m from the center and the tangential velocity of the ride is 0.89 m/s.

We can write -

Radius [r] = 2.8 m

Tangential velocity = v[T] = 0.89 m/s.

Using the formula for centripetal acceleration -

a[C] = v[T]²/r

a[C] = (0.89 x 0.89)/2.8

a[C] = 0.283 m/s²

Therefore, the centripetal acceleration of the child sitting on a merry-go-round 2.8 m from the center will be 0.283 m/s².

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Which of following statements about the image formed by a single converging lens are true? (There could be more than one correct choice.)
A.The image is always upright. B.The image is always real. C.The image is always virtual. D.The image is always inverted. E.None of the above choices are correct.

Answers

Of the statements given about the image formed by a single converging lens, only D is true.

The image formed by a converging lens is always inverted, meaning that if the object being viewed is right-side up, the image will be upside down.

This is a result of the way light rays are refracted as they pass through the lens.

Statements A, B, and C are all false. The orientation of the image depends on the location of the object relative to the lens, and whether the image is real or virtual depends on the location of the lens and the object.

Real images are formed when light rays actually converge at a point, while virtual images are formed when light rays appear to converge at a point.

The properties of the image formed by a converging lens can be determined using the thin lens equation and the magnification equation.

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Feeling guilty over choices made about how to spend time is a symptom of a life out of balance. True or false

Answers

True. Feeling guilty over choices made about how to spend time is often a sign that a person's life is out of balance.

Feeling guilty over choices made about how to spend time can be a symptom of a life out of balance, but it can also be a natural response to the responsibilities and obligations that come with daily life. It is important to prioritize and balance different aspects of one's life, such as work, family, personal time, and hobbies, to achieve a healthy and fulfilling lifestyle. However, feelings of guilt or regret over past choices should not be the sole indicator of whether one's life is in balance or not, as everyone's circumstances and priorities are unique.

It may indicate that they are not prioritizing their time effectively or that they are taking on too many responsibilities. In a balanced life, a person should feel confident in their choices and not be plagued by feelings of guilt or regret.

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Which fact is true during a fission chain reaction?(1 point)The total number of protons will increase over time.The total number of protons will increase over time.The total number of protons will decrease over time.The total number of protons will decrease over time.The number of freely-moving neutrons decreases over time.The number of freely-moving neutrons decreases over time.The number of freely-moving neutrons increases over time.

Answers

Answer:

The number of freely moving neutrons decreases over time.

Explanation:

During a fission reaction, the total number of protons remains the same. In other words, the charge is conserved. It is the neutron number that decreases during a fission reaction.

Therefore, 'The number of freely moving neutrons decreases over time' is the correct answer.

If we keep on applying force on a material object, can it gain speed of light?

Answers

Answer:

As an object moves faster, its mass increases. ... Because masses approach infinity with increasing speed, it is impossible to accelerate a material object to (or past) the speed of light. To do so would require an infinite force.

1. If I dig a 6FT hole how deep is that hole?
2. If I gave u 10 and I ate 2 how many do u have?
3. I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
4.A woman shoots her husband, then holds him underwater for five minutes. Next, she hangs him. Right after, they enjoy a lovely dinner. Explain.
5. What’s a four-letter word that ends in “k” and means the same as intercourse?
6. I come in a lot of different sizes. Sometimes, I drip a little. If you blow me, it feels really good. What am I?
7. You stick your poles inside me. You tie me down to get me up. I get wet before you do. What am I?
8.I start with a “p” and ends with “o-r-n,” and I’m a major player in the film industry. What am I?

Answers

Answer:

For the first one its about 25 feet

Explanation:

Answer:

1~6ft.

2~ 10

3~ Echo

4~ A photo shoot

5~ talk

6~ nose

7~tent

8~popcorn

Explanation:

               </3 PureBeauty

57. A red ball (m= 10 kg) is moving at 3 m/s. A green ball (m = 8 kg) is moving at 3.5 m/s. Which ball has more
energy and by how much (2)

Answers

Answer:

the green ball has 4J more energy

Explanation:

The kinetic energy is given by the formula

K = 0.5 m v^2

the kinetic energy of the red ball:

K(red) = 0.5*10*3^2= 45J

of the green ball:

K(green)=0.5*8*3.5^2 = 49J

therefore the green ball has more energy by 4 Joules

The following 1H NMR absorptions were obtained on a spectrometer operating at 300 MHz. Convert the chemical shifts from delta units to hertz downfield from TMS.
(a) 2.1 δ
(b) 3.45 δ
(c) 6.30 δ
(d) 7.70 δ

Answers

Hey dude, it's your boy Mr. Mamiza, the comedian with all the science facts. Today we're gonna talk about converting chemical shifts from delta units to hertz downfield from TMS.

Here's the deal: we got these NMR absorptions, and they're measured in delta units, but we want to convert them to hertz.

So, to do that, we got to use some math. We take the delta value and multiply it by the spectrometer frequency, which is given as 300 MHz.

Let me give you some examples:

For (a) 2.1 δ, we multiply 2.1 by 300, which gives us 630 Hz downfield from TMS.

For (b) 3.45 δ, we multiply 3.45 by 300, which gives us 1035 Hz downfield from TMS.

For (c) 6.30 δ, we multiply 6.30 by 300, which gives us 1890 Hz downfield from TMS.

And for (d) 7.70 δ, we multiply 7.70 by 300, which gives us 2310 Hz downfield from TMS.

And that's it, yo! It's just some simple math, and now you know how to convert those delta units to hertz downfield from TMS. Keep it science-y, and I'll catch you on the flip side!

An object is moving east with a constant speed of 30 m/s for 5 seconds. What is the object's acceleration

Answers

Answer:

The answer is 6 m/s²

Explanation:

The acceleration of an object given it's velocity and time taken can be found by using the formula

\(a = \frac{v}{t} \\ \)

where

v is the velocity

t is the time

We have

\(a = \frac{30}{5} \\ \)

We have the final answer as

6 m/s²

Hope this helps you

Which formula can be used to calculate the horizontal displacement of a horizontally launched projectile?x = vi(cos )x = vi(sin )tx = aytx = vxt

Answers

Answer: x=vxt

Explanation: Because it’s equation finding change of x (displacement) and using time.

The gradual change in a species over time is called
a.
mutation.
b.
evolution.
c.
migration.
d.
variation.
PLZ HURRY WILL GIVE BRAINLIEST

Answers

Answer: B. Evolution

Explanation:

As species grow older over time they will gradually evolve through natural selection and evolution.

The gradual change in a species over time is known as evolution (b).

The process of evolution occurs through several mechanisms, including mutation, migration, and natural selection.

Mutation (a) is the spontaneous change in the genetic material of an organism. These changes can result in new traits that may be advantageous, disadvantageous, or neutral for survival. When mutations occur, they can introduce genetic variation within a population, which serves as the raw material for evolution.

Natural selection is a crucial factor driving evolution. Individuals with advantageous traits that better suit their environment are more likely to survive and reproduce, passing on these advantageous traits to their offspring. Over generations, the frequency of beneficial traits increases in the population, leading to the adaptation and evolution of the species.

Variation (d) encompasses the differences in physical traits and genetic makeup among individuals within a population. This variation is essential for evolution to occur since it provides the raw material for natural selection to act upon.

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a person travelled 350 m east from his home and returns back home an hour has displacement of_?​

Answers

Answer:

vector of zero magnitude

Explanation:

The displacement is a vector magnitude, therefore, in addition to being a module, it has direction and sense.

In this case it moved 350 m and then returned the same 350 m, so the total displacement is zero.

If we draw the vector, one has a directional direction to the right and the other direction to the left, therefore when adding the two vectors gives a vector of zero magnitude

How does the hydraulic garage lift helps to lift heavy weights?Explain in you words don't copy (write in the easiest way you could)​

Answers

Answer:

this the way that hydraulic pump works:

The system of hydraulic jack lifts the heavy objects by transferring the oil from one chamber to another.

Through the suction valves into the two cylinders which creates pressure distributing the fluid equally to the points causing the objects to lift up.

hope these points helped u

any confusion then comment it

distance= 10km due West in 1hour calculate the velocity​

Answers

Answer:

Velocity = distance / time

V = 10/1

V = 10km/h

Answer:10km/h or 2.77m/s.

Explanation:

Distance =10km

Time =1h

Velocity =10/1 =10km/h

Or,

Distance =10km =10000m

Time =1h =60min = 3600s

Velocity =10000/3600 =2.77m/s

Physics, Engineering, and Industrial Research, Earth and Space Sciences, and Mathematics - emphasizing degrees, licenses, and employment opportunities, review of RA 9184 (procurement act)

Answers

Physics, Engineering, and Industrial Research, Earth and Space Sciences, and Mathematics are the different areas that can be pursued in the Philippines. Bachelor's, Master's, and Ph.D. degrees are available in these fields.

Engineering is a regulated profession in the Philippines that requires licensure examination for professionals to work in the industry. In contrast, Mathematics and Physics have no licensing requirements.

Employment opportunities vary according to field and degree, with engineers, mathematicians, and physicists being in high demand in research and development, manufacturing, and construction.

RA 9184 is the Philippine government's procurement act that aims to provide clear guidelines and procedures for procurement activities in the public sector. It defines the roles and responsibilities of procurement personnel, specifies the procurement process and requirements, and establishes the accountability mechanisms for public procurement.

In conclusion, obtaining a degree in Physics, Engineering, and Industrial Research, Earth and Space Sciences, or Mathematics can lead to various employment opportunities.

While Engineering is a regulated profession in the Philippines, Mathematics and Physics do not require licensure exams. Additionally, the government has set specific guidelines for procurement activities in the public sector through RA 9184.

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How do you calculate flow rates?

Answers

Flow rate is the volume of fluid that passes through a given area per unit time.

How can flow rates be calculated?

The calculation of flow rate depends on the type of fluid, the flow conditions, and the measurement units used.

Here are some common methods for calculating flow rates:

Volumetric flow rate: This is the volume of fluid that passes through a given point per unit time. It is usually measured in liters per second (L/s) or cubic meters per hour (m³/h).

The formula for calculating volumetric flow rate is:

Volumetric flow rate = (Area of flow) x (Velocity of fluid)

Mass flow rate: This is the mass of fluid that passes through a given point per unit time. It is usually measured in kilograms per second (kg/s) or pounds per hour (lb/h).

The formula for calculating mass flow rate is:

Mass flow rate = (Density of fluid) x (Volumetric flow rate)

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what would huifen's weight be if her mass is 54kg?

Answers

Answer:

The weight of huifen is equal to 529.2 N.

Explanation:

Given that,

Mass of huifen = 54 kg

We need to find the weight of huifen. We know that, the weight of an object is given by :

W = mg

Where

g is acceleration due to gravity

Put all the values,

W = 54 × 9.8

W = 529.2 N

So, the weight of huifen is equal to 529.2 N.

Answer:

If you want the true weight of someone, you need to multiply mass by gravity which is 54*9.81 giving the calculation in Newtons and this would equal 529.74N

Explanation:

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