A rectangular room twice as long as it is wide would contain 145 square feet more if each side were one foA rectangular room twice as long as it is wide would contain 145 square feet more if each side were one foot longer. What is the length of the room

Answers

Answer 1

The length of the room is 96 ft.

Let L be the length of the room and W be the width of the room.

Since the length is twice its width, L = 2W.

Its area A = LW

= 2W × W

= 2W²

If each side were increased by 1 foot, then its new area is A' = (L + 1)(W + 1)

= (2W + 1)(W + 1)

= 2W² + 3W + 1

Since the room would contain 145 ft more if each side were increased by 1 foot, then its new area is A' = A + 145 = 2W² + 3W + 1

2W² + 145 = 2W² + 3W + 1

145 = 3W + 1

3W = 145 - 1

3W = 144

W = 144/3

W = 48 ft.

Since its length L = 2W, substituting W = 48 into the equation, we have

L = 2(48)

L = 96 ft

So, the length of the room is 96 ft.

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Related Questions

Texting: what are two needs or wants that this wave technology meets it:

Answers

Answer:

bugs/viruses all the time and more social platforms

Explanation:

Two asteroids crashed. The crash caused both asteroids to change speed. Scientists want to use the change in speed and motion to figure out which asteroid has more mass. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the asteroids changed their motion.

Asteroid 1 has more mass than Asteroid 2.
Asteroid 1 and Asteroid 2 are the same mass.
Asteroid 1 has less mass than Asteroid 2.

Answers

Answer:

Asteroid 1 has more mass than asteroid 2

Explanation:

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thenoobygamerpro

01/25/2020

Physics

Middle School

answered

Asteroid 1 moving 8km/s right asteroid 2 moving 16 km/s left before the crash. After the crash asteroid 1 is moving 4 km/s left and changed speed bu 12km/s. Asteroid 2 moving 2km/s left and changed speed by 14km/s

Two asteroids crashed. The crashed caused both asteroids to change speed. Scientist want to use the change in speed and motion to figure out which asteroid has more mass. Based on the information in the diagram. which statement is correct? In your answer explain what the forces were like and why the asteroids changed motions

Asteroid 1 has more mass than asteroid 2

Asteroid 1 and asteroid 2 are the same mass

Or asteroid 1 has lees mass than asteroid 2

1

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Answer: Asteroid 1 has more mass than asteroid 2

Explanation:

We can use the conservation of momentum law to find the answer. So, according to this law:

"If two objects or bodies are in a closed system and both collide, the total momentum of these two objects before the collision will be the same as the total momentum of these same two objects after the collision".

This means the momentum before the collision or crash () is equal to the momentum after the collision ():

(1)

Before the crash:

(2)

Where:

is the mass of the first asteroid

is the velocity of the first asteroid

is the mass of the second asteroid

is the velocity of the second asteroid

(3)

After the crash:

(4)

Where:

is the final velocity of the first asteroid

is the final velocity of the second asteroid

(5)

Substituting (3) and (5) in (1):

(6)

Grouping similar terms:

(7)

Then:

(8) This means  must be multiplied by 1.16 km/s in order to make this side of the equation equal to .

The deceleration of the dummy is less than the deceleration of the passenger compartment.
Explain why this is of benefit for the safety of a passenger.

Answers

Based on the information given, this is beneficial because the passenger is less likely to be injured.

Deceleration simply means acceleration in a reverse way. Deceleration simply means the rate at which an object slows down.

From the complete information, it should be noted that the fact that the deceleration of the dummy is less than the deceleration of the passenger compartment is beneficial as it impacts on passenger or dummy less than without the airbag or seat belt.

Therefore, this is important as the passenger is less likely to be injured.

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Marco is conducting an experiment. He knows the wave that he is working with has a wavelength of 32. 4 cm. If he measures the frequency as 3 hertz, which statement about the wave is accurate? The wave has traveled 32. 4 cm in 3 seconds. The wave has traveled 32. 4 cm in 9 seconds. The wave has traveled 97. 2 cm in 3 seconds. The wave has traveled 97. 2 cm in 1 second.

Answers

The true statement about the wave is that, the wave has traveled 97. 2 cm in 1 second.

In Physics, we define a wave as a disturbance along a medium that transfers energy. The wavelength of a wave is the distance covered by the wave while the frequency of the wave is the number of cycles of the wave completed per second.

The period of the wave is the inverse of the frequency of the wave. It is defined as the time taken for the wave to complete a cycle and it is measured in seconds.

The wave formula is given as;

v = λf

v = velocity of the wave (distance traveled by the wave in one second)

λ = wavelength of the wave

f = frequency of the wave

So;

λ = 32.4 cm

f =  3 hertz

v = 32.4 cm × 3 hertz

v = 97. 2 cms-1

Hence, the true statement about the wave is that, the wave has traveled 97. 2 cm in 1 second.

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Which statement best explains why a wet saw used to cut through a fine optical crystals is constantly lubricated with oil

Answers

The major reason why a wet saw that is used in cutting optical crystals is constantly lubricated with oil is largely due to friction, lubrication decreases friction and minimises the increase of internal energy.

Friction is basically the coming together of two parts that rubs against each other, it causes heat and lead to  deterioration of surfaces, it can also lead to wear and tear.

Although, despite it down side, friction is desire-able in most applications

e.g the brake system of vehicles, and if not for friction, we humans cannot walk without falling

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A well chosen lifetime activity is something that should hold a person's interest for a long time.



Please select the best answer from the choices provided.



T

F

Answers

Answer:

true

Explanation:

as long as you are interested, you are happy

Since lifetime activities are done for a lifetime, it is true that a well chosen lifetime activity is something that should hold a person's interest for a long time.

What is a lifetime activity?

A lifetime activity is an activity which an individual decides to do for a lifetime.

A lifetime activity should be able to hold a person's interest for a long time, else it could lead to frustration.

Some lifetime activities include:

choice of careersmarriage family relationships

Therefore, it is true that a well chosen lifetime activity is something that should hold a person's interest for a long time.

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alcohol thermometer cannot measure the thermometer of boiling water ,why?​

Answers

Explanation:

The contents of alcohol are less toxic and will evaporate quickly as compared to the mercury-in-glass thermometer. Since, alcohol starts boiling at 80℃ while the boiling point of mercury is 375℃. ... So, an alcohol thermometer cannot measure the temperature of boiling water as it has the limit to measures up to 80℃.

A 75 kg diver has 5,150.25 J of gravitational potential energy. Determine the diver’s height

Answers

Answer:3.4m

Explanation:

Fill in the blanks about Newton’s First Law of Motion:
Objects want to ____________ ____________ doing what they’re ____________ ____________ because they are “lazy.” This is called ____________.

Answers

Objects want to continue doing what they’re doing because they are “lazy.” This is called law of inertia.

Newton's first law of motion states that an object at rest or uniform motion in a straight line will continue in that state unless it is being acted upon by an external force. This law is also called the law of inertia because it depends on mass.

From the given question, we can fill gaps as follows;

Objects want to continue doing what they’re doing because they are “lazy.” This is called law of inertia.

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Make a super villain out of these resources

Answers

Answer:the super villain would have the ability to control electricity and could take any Metal object or weapons that anyone points at him because he is magnetic

Explanation:

I was walking with Ruby in a garden from rest in a straight line with uniform acceleration so that we covered 0.25 m in the fifth second of our motion. Calculate our acceleration. ​

Answers

Answer:

0.02m/s^2

Explanation:

How far does an object travel if it is moving at a speed of 4 m/s for 3.2 seconds?


SOMEONE PLEASE HELP ME

Answers

Answer:

12.8 metres

Explanation:

distance = speed x time

distance = 4 x 3.2

distance = 12.8

Find the heat energy is required to change 2Kg of ice at 0 C to water at 20 C ( specific latent heat of fusion of water = 336000 J/Kg and specific heat of capacity of water = 4200 J/Kg C

Answers

We want to find the energy that we need to transform 2kg of ice at 0°C to water at 20°C.

We will find that we must give 840,000 Joules.

First, we must change of phase from ice to water.

We use the specific latent heat of fusion to do this, this quantity tells us the amount of energy that we need to transform 1 kg of ice into water.

So we need 336,000 J of energy to transform 1kg of ice into water, and there are 2kg of ice, then we need twice that amount of energy:

2*336,000 J = 672,000 J

Now we have 2kg of water at 0°C, and we need to increase its temperature to 20°C.

Here we use the specific heat, it tell us the amount of energy that we need to increase the temperature per mass of water by 1°C.

We know that:

specific heat of capacity of water = 4200 J/kg°C

This means that we need to give 4,200 Joules of energy to increase the temperature by 1°C of 1kg of water.

Then to increase 1°C of 2kg of water we need twice that amount:

2*4,200 J = 8,400 J

And that is for 1°C, we need to give that amount 20 times (to increase 20°C) this is:

20*8,400 J = 168,000 J

Then the total amount of energy that we must give is:

E = 672,000 J + 168,000 J = 840,000 J

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Tom pulls a muscle. He has to stop working to get an ice pack. Claudia continues to work and soon finishes her pile.
Power is the rate of doing work. It's calculated by dividing work by time (power = work = time). Who had more power in
this scenario? Why?

Answers

Answer:

Tom

Explanation:

if for example both their work is 40 and Tom stops working after 2 hours but Claudia continues and stops after 3 hours when you divide their work by their time Claudia will get a lower number of power.

(in your explanation maybe use different numbers based on you book or notes)

Answer:

Claudia had more power. She did more work than Tom, and she did it in less time.

Explanation:

sample answer on edmentum. maybe change it up. hope this helps:)

A system consisting of two particles is known to have zero total momentum. Does it follow that the kinetic energy of the system is zero as well?

Answers

Answer:

all of the particles are at rest (v = 0)

Explanation:

Therefore, since nothing is moving, the total momentum of the system must also be zero.

As a system consisting of two particles is known to have zero total momentum, the kinetic energy of the system will be zero as well.

What is momentum?

Momentum is the product of a particle's mass and velocity. Momentum is a vector quantity, which means it has a magnitude as well as a direction.

According to Isaac Newton's second law of motion, the time rate of change of momentum equals the force acting on the particle.

Momentum describes the relationship between an object's mass, velocity, and direction.

Any change in momentum generates force. As a result, a change in momentum is used to calculate the force acting on the object.

Because the total kinetic energy is zero, all of the particles are at rest (v = 0). As a result, because nothing is moving, the system's total momentum must also be zero.

Thus, the statement is true.

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a galaxy that is a featureless spherical ball of stars would be called a type

Answers

Answer:

E0

Explanation:

Yes. The "0" indicates that it is spherical

what is the definition for the term Resistance?​

Answers

Answer:

Hey mate....

Explanation:

This is ur answer.....

There are 2 definitions :-

The refusal to accept or comply with something.The ability not to be affected by something, especially adversely.

Hope it helps!

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A 40W lamp wastes 34 J of energy every second by heating its surroundings.
What is the efficiency of the lamp?
С
18%
D
85%
A
0.15%
15%
B

Answers

Answer:

[tex]15\%[/tex].

Explanation:

The efficiency of a machine is the percentage of energy input that was turned into useful energy.

The power rating of this lamp is [tex]40\; \rm W[/tex] (same as [tex]40\; \rm J \cdot s^{-1}[/tex],) meaning that [tex]40\; \rm J[/tex] of energy is supplied to this lamp every second.

The question states that [tex]34\; \rm J[/tex] out of that [tex]40\; \rm J[/tex] of energy input would be turned into heat, which is not useful energy output in this scenario. Assuming that all other forms of energy loss is negligible. The rest of the [tex](40\; \rm J - 34\; \rm J) = 6\; \rm J[/tex] of energy supplied to this lamp would be turned into useful energy output.

Thus, every second, this lamp would receive [tex]40\; \rm J[/tex] of energy input and would outputs [tex]6\; \rm J[/tex] of useful work. The efficiency of this lamp would be:

[tex]\begin{aligned}& \text{Efficiency} \\ =\; & \frac{\text{Useful energy out}}{\text{Total energy in}} \times 100\% \\ =\; & \frac{6\; \rm J}{40\; \rm J} \times 100\%\\ =\; &15\% \end{aligned}[/tex].

what does it mean to be skeptical of health fraud

Answers

Answer: yea ma’am I’m sorry but you still

Something that is falsely advertised to help different health issues. An example could be Eyeball massagers

Hi, please help! •_•

One workman is measured as having a power of 528W. His weight is 800N. He can develop the same power climbing a ladder, whose rungs are 30cm apart. How many rungs can he climb in 5s?

Answers

Answer:

He can climb 11 rungs

Explanation:

Power = 528W, Force = 800N, Time= 5s Total Distance moved = 30x cm or 0.3x m, where x is the number of rungs he climbed

Power = Work done/time

Work done = Power × time

= 528 × 5

= 2640Joules

Also Work done = Force × total distance moved

Total Distance moved = Work done/force

0.3x = 2640/800

0.3x = 33

x = 3.3/0.3

x = 11

What amount of heat is required to increase the temperature of 75. 0 grams of gold from 150°C to 250°C? The specific heat of gold is 0. 13 J/g°C. A. 750 joules B. 980 joules C. 1300 joules D. 1500 joules E. 2500 joules.

Answers

975 J of heat energy is needed to increase the temperature from 150°C to  250°C of given mass of gold.

From specific heat formula,

[tex]Q = mc \Delta T[/tex]

Where,

[tex]Q[/tex] - Heat absorbed

[tex]m[/tex] - mass of  gold = 75. 0 g

[tex]c[/tex] - specific heat of gold = 0. 13 J/g°C

[tex]\Delta T[/tex]- temperature difference =  150°C -  250°C = 100°C

Put the values in the formula,

[tex]Q = 75\times 0.13 \times 100 }\\\\Q = 975 {\rm \ J}[/tex]

Therefore, 975 J of heat energy is needed to increase the temperature of given mass of gold.

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The heat required to increase the temperature of the gold is 980 J

The correct answer to the question is Option B. 980 J

We'll begin by calculating the change in the temperature of the gold

Initial temperature (T₁) = 150 °C Final temperature (T₂) = 250 °C Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 250 – 150

ΔT = 100 °C

Finally, we shall determine the heat required.

Mass (M) = 75 gChange in temperature (ΔT) = 100 °C Specific heat capacity (C) = 0.13 J/gºC Heat (Q) =?

Q = MCΔT

Q = 75 × 0.13 × 100

Q = 975 J

Q ≈ 980 J

The correct answer to the question is Option B. 980 J

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who has the best answer for this
what percentage more water is used to provide us with electricity vs for irrigation

Answers

Answer:

electricity because it has more percentage nd energy

Explanation:

mark me brainliest pl

Use what you know about mass and how you use it to calculate force in the following situation. If each washer has a mass of 4. 9 g, then the mass of two washers in kilograms would be. Given that F = ma, and if 4 washers are attached to the string and car instead of 2, then the applied force on the car will be. Recall a = 10 m/s2.

Answers

Considering the change of units and the definition of weight, the mass of two washers would be 0.0098 kg and if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.

Mass of two washers

If each washer has a mass of 4.9 g, then the mass of two washers will be calculated simply by multiplying the mass of 1 washer by the amount you have of them, in this case 2:

4.9 g×2= 9.8 g

Being 1 kg = 1000 g, you apply the following rule of three to make the change of units: if 1000 g equals 1 kg, 9.8 g equals how many kilograms?

[tex]mass=\frac{9.8 gramsx1 kg}{1000g}[/tex]

Solving:

mass= 0.0098 kg

Finally, the mass of two washers would be 0.0098 kg.

Applied force

On the other side, mass is the amount of matter that a body contains and weight is the action exerted by the force of gravity on the body.

The mass of an object will always be the same, no matter where it is located. Instead, the weight of the object will vary according to the force of gravity acting on it.

Weight is calculated as the product of the object's mass and the value of the gravitational acceleration:

W= m×g

In this case, you know:  

m= 4.9 g×4= 19.6 g= 0.0196 kg → the mass of 4 washers in kilogramsg= 10 m/s²

Replacing:

W= 0.0196 kg× 10 m/s²

Solving:

W= 0.196 N

Finally, if 4 washers are attached to the string, then the applied force on the car will be 0.196 N.

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Answer:

C, B

Explanation:

GUYS COULD SOMEONE PLEASE HELP ME?
PLEASE ASAP

Write a summary of how the eye works:

Answers

Answer:

Eye function renders you the sense of sight. They convert light into electrical signals. Afterwards, the brain deciphers these electrical signals into images. Properly working healthy eyes are able to perform the following functions.

Explanation:

how does the age of the universe depend on the hubble constant?

Answers

Answer : Because we know how fast the earth is expanding , because we know the value of Hubbles constant

Hope this helps :)

How does the temp of water change when it is heated on a stove top and it begins to boil.

Answers

Answer:

The temperature will no longer rise with the heat because the energy. When the water is boiled on the steam, the temperature rises when heat is given

Explanation:

PE:

Write T in the blank if the statement is true and E if it is false.

_____1. A basketball game starts with a jump ball.

_____2. Basketball is a cardiovascular work-out.

_____3. The middle of the basketball court is called the sideline.

_____4. Unlimited substitutions are allowed during a regular basketball game.

_____5. If the ball crosses the sideline, it is considered out of bounds and goes to the other team.

_____6. A turnover is any loss of the ball without a shot being taken.

_____7. A player may intentionally kick the ball for the team's benefit.

_____8. When dribbling a ball, a basketball you want to keep the ball below your waist and off to the side of your body.

_____9. If your opponent shoots at the wrong hoop your team receives the points.

_____10. After a player stops dribbling the ball in basketball, he or she is allowed 4 steps to pass or shoot.​

Answers

Answer:

The answers are:

T, T, F, F, T, T, F, F, T, T, F

Good luck!

An open train car rolls along a track while it is being filled with sand. There is negligible friction. As a result of
the accumulating sand, what happens to the speed of the train car? (Assume negligible friction and the cart is
just rolling along, not receiving any additional force to regulate its speed.)

Answers

Answer:

Explanation:

that`s a the train car, that you asked the meaning, of that if the train car rolls it`s doing it`s speed, and it`s not ganna fall off the the trail of the train, car.

An open train car rolls along a track while it is being filled with sand. There is negligible friction. The speed of the train car will be slowed down.

What is friction?

Between two surfaces that are sliding or attempting to slide over one another, there is a force called friction. For instance, friction makes it challenging to push a book down the floor.

Friction always moves an object in a direction that is counter to the direction that it is traveling or attempting to move.

Speed indicates the rate of movement of something or someone. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance x time.

Therefore, an open railway car is packed with sand and is rolling along a track. Very little friction exists. The railway car's speed will be slowed down.

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Convert: 12 km/hr =
m/s

Answers

[tex]12~ \text{km} ~ \text{h}^{-1} = \dfrac{12 \times 1000}{3600} ~~ \text{m s}^{-1} = 3.33 ~~ \text{m s}^{-1}[/tex]

Answer:

3 1/3 or 3.3333....

Explanation:

You multiply the kilometres by 1,000 because there are 1,000 metres in a kilometre. Then you divide by 60 because there are 60 minutes per hour, and then again by 60 because 60 seconds per minute.

12,000 / 60 = 200

200 / 60 = 3.333

What is electromagnetic wave ?

Answers

its an electric magnetic cell this uses electricity

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