If two angles of a triangle have radian measures 9 and 3 8 , find the radian measure of the third angle.

Answers

Answer 1

The third angle of the triangle should be 37π/72 rad.

We need to know about the triangle rule to solve this problem. One of the rules of the triangle is the total angle inside the triangle is 180⁰.

A + B + C = 180⁰

From the question above, the given parameter is

A = π/9 rad

B = 3π/8 rad

Convert the angle to radian

180⁰ = π

Hence, the total angle should be

A + B + C = π

π/9 + 3π/8 + C = π

C = π - (π/9 + 3π/8)

C = π - 35π/72

C = 37π/72 rad

Hence, the third angle of the triangle should be 37π/72 rad

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Related Questions

Ax a x = 26 m/s2 m / s 2 , ay a y = 10 m/s2 m / s 2 . find the vector's direction.

Answers

Given,

[tex]Ax =26 m/s^{2} \\Ay = 10 m/s^{2}[/tex]

As we know that slope of any line passing from (x,y) point has the slope as  [tex]\frac{y}{x}[/tex]  i.e. Tan [tex]\alpha[/tex]

Vector's Direction can be calculated by [tex]\alpha[/tex] = Tan⁻¹ [tex]\frac{Y}{X}[/tex] ,

where [tex]\alpha[/tex] is the angle with the horizontal X-axis.

therefore,

[tex]\alpha[/tex] = Tan⁻¹ [tex]\frac{10}{26}[/tex]

[tex]\alpha[/tex] = 23.375°

The vector's direction is the angle that the vector makes with the horizontal axis, i.e. with the X-axis. The direction of the vector is given by turning the angle of the vector around its tail to the east counterclockwise.

Therefore, the vector's direction for the given vector is 23.375° from the X-axis i.e. the vector Ax  = 26 m/s2, Ay= 10 m/s2 points towards the North-East direction.

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Which situations are necessary components for malpractice to occur?

Answers

a. The risk of injury must be predictable.

b. A "breach of duty" is when a professional fails to uphold a level of care.

c. There must be a standard of care in place, and the practitioner must assume responsibility for the patient.

d. There must be a clear link between the treatment received and the harm.

What is malpractice?

Malpractice, commonly referred to as professional negligence, is defined as "an incident of carelessness or incompetence on the part of a professional" under tort law.

The following professionals might be the target of malpractice claims:

Medical professionals: If a doctor or other healthcare practitioner does not exercise the level of care and competence that a similarly situated professional in the same medical field would deliver under the circumstances, a medical malpractice claim may be made against them.

Lawyers: Failure to provide services with the amount of competence, care, and diligence that a reasonable lawyer would use in the same situation may be grounds for a legal malpractice claim.

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Venus is observed to orbit the sun every 0.62 years. what is the semi-major axis of venus's orbit in au?

Answers

Venus is observed to orbit the sun every 0.62 years so the semi-major axis of venus's orbit is 0.73 au.

What do you mean by orbit?

Celestial mechanics uses curved trajectory objects to describe orbits, such as a planet's orbit around a star, a natural satellite's orbit around a planet, or an artificial satellite's orbit around a planet, moon, asteroid, or Lagrange point. A circle, a whole circle's revolution, or a range of experiences are all examples of what is meant by an orbit. As an example, consider the earth's orbit around the sun. An illustration of how long an orbit or full circle around takes is the 365 days it takes the earth to travel around the sun. The planets are kept in their orbits by the gravity of the Sun. Since no other force in the Solar System can halt them, they remain in their orbits.

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Why is the expected stretching absorption of the c=o bond 1685 cm-1 for the structure i and 1715 cm-1 for structure ii?

Answers

Compared to compound 2, compound 1, the C to O double bond has more single bond characteristics.

How do double bonds develop?

When two atoms share two electron pairs to create two covalent connections, they create a double bond; when they share three electron pairs to create three covalent bonds, they create a triple bond.

Describe Double Bond:

A double bond, as opposed to a single bond, is a covalent link formed between two atoms that involves four bonding electrons. The majority of double bonds, including those in alkenes, are created when there are two carbon atoms present.

What does a double bond look like?

A sigma and a pi bond are always present in a double bond. Carbon dioxide is a common instance of a double-bonded chemical. Double bonds are a structural feature of organic substances like ethene, also known as ethylene, methanoic acid, and acetone.

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The following conversion equivalents are given: 1.0 m = 100 cm 1.0 in = 2.54 cm 1.0 ft = 12 in if a bin has a volume of 1.5 m3, the volume of the bin, in ft3, is closest to?

Answers

The volume of the bin in ft^3 is determined as 53 ft3

Calculation

Given,

1m = 100cm ⇒ 1cm = [tex]10^{-2}[/tex]

1in = 2.54 cm = 2.54 x [tex]10^{-2}[/tex] m

1ft = 12in = 12 x 2.54 x [tex]10^{-2}[/tex] = 30.48 x [tex]10^{-2}[/tex] m

⇒ 1m = 1/30.48 x [tex]10^{2}[/tex] ft

Volume = 1.5[tex]m^{3}[/tex]

= 1.5 x [tex](1m)^{3}[/tex]

= 1.5 x (1/30.48 x [tex]10^{2}[/tex] ft)^3

= 52.97ft^3

V= 53 ft^3 (nearly)

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The __________ weight is affected by the buoyancy force.

A-actual
B-apparent
C-floating
D-mass

Answers

The Floating weight is affected by the buoyancy force.

What cause the weight Buoyancy force?

As we clearly know that in buoyancy force the weight or any other object will float over the surface of the water and this force is known as buoyancy force. The reason behind the Buoyancy force is that the object seeming lighter in water.

The Buoyancy force can be define as the upward force exerted by the fluid on any weight or any object placed in it. The Buoyancy force is directly proportional to the density of the immersed fluid. The Buoyancy force is also proportional to the volume of the object immersed in the fluid.

So we can conclude that the floating weight is affected by the buoyancy force.

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The length of the room is measured to be 5.56 meters. How many centimeters long is the room?

Answers

Answer:

556cm

Explanation:

because 5.56m × 100 = 556cm.

Answer:556

5.56*100=556

Explanation:

If 21,847 • 10^18 electrons pass through a wire in 12 s, find the current

Answers

Answer:

I = Q / t = N e / t

I = 21,847E18 * 1.60E-19 Coul / 12 sec = 2.18E22 * 1.60E-19 / 12 sec

I = 2.18 * 1.60 * 10^3 / 12 amps = 291 amps

Which period of the mesozoic era had the lowest temperatures & co2 levels, and had large tropical forests that lacked flowering trees (but later formed extensive coal deposits)?

Answers

The Mesozoic era's Jurassic epoch featured the lowest CO2 concentrations and temperatures, as well as vast tropical forests devoid of flowering trees.

The correct option is B.

What features did the Jurassic Period have?

Dinosaurs thrived for 180 million years during the Jurassic Period, which was their heyday. Huge herbivorous and carnivorous sauropods like the 35-foot-long Allosaurus and the 87-foot-long Diplodocus evolved. Imagine yourself sprinting as quickly as you can, and that's how big these beasts were.

What led to the Jurassic Period's demise?

Some have proposed that the Triassic-Jurassic extinction may have been brought on by an asteroid or comet impact, similar to an extraterrestrial object that is thought to have contributed significantly to the Cretaceous-Paleogene extinction about 66 million years ago as shown by the Chicxulub crater in Mexico.

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Which period of the Mesozoic era had the lowest temperatures and CO2 levels, and had large tropical forests that lacked flowering trees (but later formed extensive coal deposits)?

a. Triassic

b. Jurassic

c. cretaceous

If the lead can be extracted with 92.5fficiency, what mass of ore is required to make a lead sphere with a 7.00 cm radius? the density of lead is 11.4 g/c

Answers

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

To find the mass of ore, the given values are,

The radius of the lead sphere is r = 7.0 cm,

The lead can be extracted with, η = 92.5% = 0.925 efficiency.

What is the Density?

Density is the substance's mass per unit of volume.

We know the density of lead as,

⇒ p = 11.4 g/cm³ .

The volume of the lead sphere is,

V = 4/3πr³

   = 4/3π(7)³

V = 1436.7 cm³.

Mass of the lead present in the lead sphere is,

m = p . V

    = 11.4  × 1436.7

    = 16379 g

m = 16.379 kg

From the expression of efficiency, we calculate the mass of the ore,

η = Mass of lead obtained / Mass of the ore to be taken

0.925 = 16.379 kg / Mass of the ore to be taken

Mass of the ore to be taken = 17.707 kg

If the lead can be extracted with 92.5 efficiency, the mass of ore is required to make a lead sphere with a 7.00 cm radius is 17.707 kg.

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what is the momentum of a 6300-kg elephant walking 0.11 m/s

Answers

Momentum of the elephant is 69.3 kg-m/s

Momentum is a property of a moving body by the virtue of its motion and is a product of mass and velocity.

As per Newton's second law of motion,

momentum= mass x velocity

Mass of the elephant is given as 6300kg

Velocity of elephant is given as 0.11 m/s

Therefore,

momentum = 6300 x 0.11

                      69.3 kg -m /s

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If you throw a ball straight upward at a speed
of 10 m/s, how long will it take to reach zero
speed? How long will it take to return to its
starting point? How fast will it be going when
it returns to its starting point?

Answers

Explanation:

hey! what's up dude

the answer of this will be 1. 1 sec

2. 2sec

3. 10 m/s

hope you find help

now the reson for this will be

let's look in 1st part

we will use v=u+at

where v will be zero at highest pont u is 10m/s

we can take g as 10 or 9.8

so

0=10-10t

so it becomes

-10/-10=t

so 1 sec will be the answer

in 2nd part same time will be taken to come back so total time will be 2 sec

3rd part we can use v=u+at

where we have to find v, u=10 g=-10 and t=2 sec

now v=10-20 so v= -10 m/s

since in question it's asking abaout speed and as speed is a scaler quantity so answer will be mode of -10 so it becomes 10m/s

hope it's help you..

If the cable at a is pulled with the velocity of 12 m/s, what is the resulting speed of weight b?

Answers

The resulting speed of weight B is 4m/s

Here we have the end of the cable A pulled with the speed of 12m/s

To find the speed at which block B move:

At the top of pully. We have length at A is Sa and length of B is Sb.

The length from the top pulley to the small pulley which is held by the bar that Lint we built label it H

The pulley system made of only one chord, so we need only one equation to represent the rope.

Sa +Sb +(2Sb -h) = l

When the rope is pulled at block B the whole part moves up.

Sa + 3 Sb = L+2h

In order to find the velocity, we take derivative of the above equation.

here we get

Va + 3Vb = 0

Va = 12m/s

vb = -12/3 = -4m/s

negative sign shows that block is going against the direction. That is upward direction.

The resulting speed of weight B is 4m/s

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Suppose the link speed between the source and destination is 100 megabits (mb) per second. approximately how long will it take to send a 12 megabyte (mb) file?

Answers

Approximately About 1 second will take to send a 12-megabyte (mb) file.

What is link speed?

It refers to the fastest rate at which data can travel from a wireless client to a wireless router over a wireless link. At the application layer, user actions like file transfers and web content browsing take place. Compared to the rate at the physical layer, the rate at the application layer will be substantially lower.

What Internet Speed Is Best for Using Several Devices? According to the FCC, the best ISPs for households with two or more connected devices and moderate to heavy internet usage should have download speeds of at least 12 megabits per second (Mbps). It is advised to use 25 Mbps while using four or more devices.

Anywhere from 25 to 100 Mbps is considered to be an excellent internet speed.

Up to 2 devices can stream, browse the web, and check email at speeds of 25 Mbps. A few more individuals can stream in HD or even 4K, stream music, play games, surf social media, and work from home at speeds of 50 to 100 Mbps.

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a bomb dropped from a balloon reaches the ground in 30 sec determine the height of the balloon if it is at rest in the air ​

Answers

As a result, the balloon was 1,410 meters above the ground when it was dropped.

What is dimension of height?

Your height, for instance, is one of your dimensions. With a meter stick or tape measure, you can quantify that. We frequently refer to "three-dimensional space," in which we define an area using two dimensions and measure height using a third dimension.

Calculation:

The balloon's initial velocity and the bomb's beginning velocity will be equal. We consider downward velocity to be positive and upward velocity to be negative when falling. The balloon in the issue is moving upward at a speed of 100 m/s. Therefore, the initial velocity of the bomb will be -100m/s

Initial velocity of the bomb  

u = -100m/s

We know gravitational acceleration

g = 9.8m/s²

Time t = 30s

Required

height , s = ?

Using the equation we get,

[tex]s=u t+\frac{1}{2} g t^2[/tex]

s=(-100m/s)*(30s)+1/2*(9.8m/s²)*(30s)²

s= 1,410 m

As a result, the balloon was 1,410 meters above the ground when it was dropped.

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The complete question is -

A bomb dropped from a balloon reaches the ground in 30seconds .

Determine the height of the balloon if it is at rest in the air and if it is ascending with a speed of 100m/sec when the balloon is dropped.

Your friend john is 20.0 meters away from you and he is running away from you at 5.0 m/s. you sprint at 7.0 m/s to catch up. how long will it take you to reach him? _______ s

Answers

If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.

We know that,

Speed = Distance / Time

Time = Distance / Speed

Given that,

My speed = 7 m/s

John's speed = 5 m/s

Distance I need to cover to catch up John = ( 20 + x ) m

Distance John will cover before I catch up to him = ( x ) m

Since the time taken by both of us to reach that point is same,

( 20 + x ) / 7 = x / 5

100 + 5x = 7x

2x = 100

x = 50 m

Time required = Distance / Speed = 50 / 5        

Time required = 10 seconds  

It will take me 10 seconds to reach John.

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At what temperature does a process with [delta]h = 20. kj and [delta]s = 300. j become spontaneous? (give the answer in 3 sig figs)

Answers

The Temperature at a process with ΔH and ΔS become spontaneous is 66.6k

Gibbs free energy  - It can be defined as that can be used to calculate the amount of work done performed by a closed system at constant temperature and pressure.

It's symbol is G.

Gibbs free energy equation is given as

ΔGΔH−TΔS

where

ΔG = Gibbs free energy.

ΔH =  Enthalpy change.

T = Temperature in Kelvin.

ΔS = Entropy change.

ΔH= 20kJ = 20000J

ΔS= 300J/K

if ΔG<0, process is spontaneous

if ΔG>0, process is non spontaneous

if ΔG=0, process is in equilibrium

To find the temperature at which the given reaction becomes spontaneous, the minimum T value for which we obtain a negative value of the Gibbs free energy change is

ΔH−TΔS > 0

T > ΔH/ΔS

We have ΔH=20kJ=20000J

ΔS= 300J/K

T > 20000/300

T> 66.6K

The Temperature at a process with ΔH and ΔS become spontaneous is 66.6k

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The density of a 4.0 cm3 sample of a metal is 11.3 g/cm3. what is the density of 8.0 cm3 sample of the same metal?

Answers

The density of 8.0 cm³ sample of the same metal is 5.65g/cm³.

The density of a sample or a body is defined as, the density of a body is the amount of mass per unit volume . It is denoted by ρ. & its unit is kg/m³.

Density ρ = M/V

where, M is mass and V is volume of the body.

Solution,

Given here,

The density ρ₁ of volume V₁ & the density ρ₂ of volume V₂ of same metal therefore,

ρ₁ = 11.3 g/cm³

V₁ = 4.0 cm³

V₂  =8.0 cm³

ρ₂ =?

ρ₁ × v₁ = ρ₂ × v₂

ρ₂ = ρ₁ × v₁ /v₂

ρ₂ = (11.3 g/cm³× 4.0 cm³)/8.0 cm³

ρ₂ = 5.65  g/cm³

The density of sample of the same metal is  5.65  g/cm³

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Calculate the density of the substance. a sample of a substance has a mass of 27.3 grams and a volume of 7.0 centimeters3. the density of this substance is grams/centimeter3.

Answers

Density = Mass / Volume
Density of the substance = 27.3 / 7
= 3.9 gram /cm^3

How does the interaction of a nonelectrolyte and water differ from the interaction of an electrolyte and water? give examples of each.

Answers

The interaction of a nonelectrolyte and water differs from the interaction of an electrolyte and water because nonelectrolytes do not conduct current while electrolytes can conduct current.

The solution that does not let the current pass through any state either liquid or molten is called nonelectrolyte.

For example, sugar and alcohol are nonelectrolytes.

On the contrary, electrolytes are those mediums, compounds, or substances that allow electric charges to pass through them.

In this way they conduct electricity.

For example, when an ionic substance dissolved in water forms an ionic solution it let the current pass through such as NaCl, HCl, etc. Sodium chloride dissolves in water forming ions of sodium and chloride ions and making the solution electro conductive.

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Baking soda and vinegar are mixed in a balloon. a gas is produced and the balloon expands to a volume of 1.50 l. what is the volume of the balloon in cm3? (1 l = 1 dm3; 1 dm = 10 cm)

Answers

The volume of the balloon is 1.5 x [tex]10^{3}[/tex] [tex]cm^{3}[/tex]

Calculation

Volume that the balloon has expanded to = V = 1.50L

We know that 1 L = 1000 [tex]cm^{3}[/tex]

⇒ V = 1.50 x 1000 [tex]cm^{3}[/tex]

= 1500 [tex]cm^{3}[/tex] or 1.5 x [tex]10^{3}[/tex] [tex]cm^{3}[/tex]

Explanation of the reaction

There is an acid-base reaction when vinegar and baking soda are together. Baking soda is the basic, and vinegar is the acid. A gas called carbon dioxide bubbles and foams as a result of this reaction between the two.

Since the gas has nowhere else to go, it expands the balloon, causing it to self-inflate.

Use more vinegar and baking soda to make more carbon dioxide gas, which will result in a larger balloon.

The number of reactants utilized impacts the number of products produced, which is a key principle in chemical processes. The reaction ought to be largely finished once the pressure starts to drop.

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6. Read the following statements. If the italicized word is used correctly,
answer "correct." If the italicized word is not used correctly, rewrite the
statement with the correct word.
a. Taylor's weight is 65 kilograms.
b. I went on a diet and my mass decreased.
c.
I went to the Moon and I lost mass, even though I didn't lose any of
my matter.

Answers

The following statements have italicized word, and has 2 correct  statement and 1 incorrect statement.

a. Taylor's weight is 65 kilograms. : Its correct.

b. I went on a diet and my mass decreased. : Its correct.

c. I went to the Moon and I lost mass, even though I didn't lose any of my matter. : Its incorrect.

What is weight?

The weight is a term shows the mass of the object and the gravity working on it. Example is that a person who feel heavy in earth that same person feel very light on moon cause the gravity will work on that object verry small in comparison to earth.

How can we say that the third statement is incorrect?

a. Taylor's weight is 65 kilograms. It is a complete sentence. So its a correct statement.

b. I went on a diet and my mass decreased. : Its correct. Its also a complete sentence. So its a correct statement.

But, c. I went to the Moon and I lost mass, even though I didn't lose any of my matter. This sentence is incorrect because the mass of the person remains same in the moon but the gravity become lesser in the moon so he felt lighter.

So, according to the theory the statement is incorrect.

The correct statement would be:

c. I went to the Moon and I lost weight, even though I didn't lose any of my matter.

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State the Second Law Of
Motion

Answers

It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.

What is the difference between a scalar and a vector? a scalar has whereas a vector has categorize the quantities based on whether they are scalars or vectors.

Answers

The difference between a scalar quantity and a vector quantity can be found below.

What is a scalar and vector quantity?

A scalar quantity is a quantity that has magnitude but not direction.

On the other hand, a vector quantity is a quantity with both magnitude and direction.

Examples of scalar quantities are;

SpeedTemperature LengthTime Mass

Examples of vector quantities are;

ForceMomentumElectric fieldAccelerationAngular velocity

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The main circuits on the system board that carry data are called the _________.

Answers

The main circuits on the system board that carry data are called the data bus.

What is a data bus?

A system within a computer or device that transports data typically consists of a connector or wired connection. Along with the development of personal computers and other hardware, several data bus types have also changed. Web dictionaries define a bus as a vehicle that transports numerous passengers from one location to another, however in this situation, data is also involved. A bus is a connection between two or more devices that needs to convey data or have a communication path. The communication link between a computer system's processing unit and memory unit serves as a standout example.

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What is the frequency (s-1) the light from a laser with a wavelength of 615 nm? enter your answer with three decimals and no units.

Answers

The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz

Steps

v= c/ lambda

c= 3.00 x10^8 m/s

nm into meters

615nm (1m/ 1x10^9 nm) = 6.15x 10^-7 m

use frequency formula

v = 3.00 x10^8 m/s // 6.15 x10 ^-7

v = 4.878 x10^ 14 s-1 hertz

The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz

What do you mean by frequency?The quantity of waves that pass a set location in a predetermined period of time is known as frequency. Therefore, if a wave passes through in half a second, the frequency is 2 per second. The frequency is 100 times per hour if it takes 1/100 of an hour.

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A bicyclist is finishing his repair of a flat tire when a chicken runs by with a constant velocity
of 3.5 m/s. Two seconds later, the bicyclist hops on his bike and accelerates at 2.4 m/s² until he catches the chicken. (A) How much time does it take until he catches the chicken? (B) How far has he traveled in
this time?

Answers

The time does it take until he catches the chicken 4.28 seconds. he traveled 10.3 m/s this time.

The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.

3.5(t+2) = 0.5*2.4t+2, 3.5t + 7

= 1.2t+2, 1.2t+2 - 3.5t + 7 = 0, and d1 = d2

Use the time formula, t = d/s, which states that time is equal to distance divided by speed, to solve for time.

t = 4.28s.

d = d1 = d2 = 3.5(4.28+2)

= 22m.

The pace at which an object moves is its speed. The distance traveled divided by the time is the calculation for speed. Distance x time equals speed. The formula for distance can be found by rearranging the formula for speed.

V = Vo + at = 0.04 + 2.4 * 4.28

= 10.3 m/s.

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If you travel 100km west and then 500km west, what is the total displacement

Answers

Answer: 600 km west

Explanation:

When looking at total distance/displacement, simply add the two given quantities together. Note- in the future, make sure to pay attention to units and directions of components. For example, if it was 100 km east and then 500 km west, your total would be -100 km west + 500 km west, giving you 400 km west.

Find the cost of excavating a space 84 ft long, 42 ft wide, and 9 ft deep at a cost of $39/yd3. (simplify your answer completely.)

Answers

The cost of excavating a space of 84 ft long, 42 ft wide, and 9 ft deep is $45864

Information about the problem:

Space long= 84 ftSpace wide= 42 ftSpace deep= 9 ftCost by yard3 = $39/yd3Total cost= ?

To solve this problem, we have to state the equation using the information of the problem:

Calculating the volume of the total space:

space volume = space long * space wide * space deep

space volume = 84 ft * 42 ft * 9 ft

space volume = 31752 ft3

By converting the volume from ft3 to yd3, we have:

31752 ft3 * (0,037037 yd3 / 1 ft3) = 1176 yd3

Calculating the cost of excavating the volume space:

Total cost = space volume * cost by yard3

Total cost = 1176 yd3 * $39/yd3

Total cost = $45864

What is volume?

It is the space occupied by a body, it is calculated by multiplying its dimensions, for example: length, height and width.

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Find the magnitude of this
vector:
18.4 m
-28.7 m
magnitude

Answers

The magnitude of this vector:

18.4 mi-28.7 mj is 34.09m

Given:

vector is

18.4 mi-28.7 mj

Magnitude =[tex]\sqrt{18.4^2+28.7^2}=34.09[/tex]

This magnitude of a vector formula summarizes the distinct vector measures along the x-axis, y-axis, and z-axis. It is represented by the symbol |v|. A vector's magnitude is either a positive number or zero, and it can never be negative. Let us finally understand the magnitude of a vector formula by considering a few solved cases.

A vector's magnitude is equal to its length. The magnitude of the vector an is indicated by the symbol a. For further information on vector magnitude, see the introduction to vectors.

This article deduces formulas for the magnitude of vectors in two and three dimensions in terms of their coordinates. The magnitude formula for a two-dimensional vector a=(a1,a2)

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Answer:

34.09178

Explanation:

This is the correct answer for Acellus

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