Find the magnitude of the sum of two vectors; A is 5 km , and B is 7 , when the angle btween them is 120

Answers

Answer 1

Answer: 6.24 km

Explanation:

Given

The magnitude of the first vector(say) \(\left | a\right |=5\ km\)

the magnitude of the second vector(say) \(\left | b\right |=7\ km\)

the angle between them is \(120^{\circ}\)

The resultant vector magnitude is given by

\(\left | \vec{R}\right |=\sqrt{a^2+b^2+2ab\cos \theta}\)

\(\left | \vec{R}\right |=\sqrt{5^2+7^2+2\times 5\times 7\cdot \cos 120^{\circ}}\\\left | \vec{R}\right |=\sqrt{74-35}=\sqrt{39}\\\left | \vec{R}\right |=6.24\ km\)


Related Questions

The resistance to the motion of an object is

Answers

Answer:

Inertia

Explanation:

Part of Newton's Laws of Motion

Imagine you are in an open field where two loudspeakers are set up and connected to the same amplifier so that they emit sound waves in phase at 688 hz. Take the speed of sound in air to be 344 m/s.

Answers

With the sound waves in phase at 688 hz and the speed of sound in air to be 344 m/s we have a wavelength of 0.5 m

To solve this problem the formula and the procedure that we have to use is:

λ = v / f

Where:

f= frequencyv= wave speed λ= wavelength

Information about the problem:

f= 688 Hzv= 344 m/sλ = ?1 Hz = s˄ -1

Using the wavelength formula and replacing values we get:

λ = v / f

λ = 344 m/s / 688 Hz

λ =0.5 m

What is frequency?

It is the quantity that measures the number of times or cycles in which a wave is repeated over time in seconds. Frequency is expressed in Hertz (Hz).

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Imagine you are in an open field where two loudspeakers are set up and connected to the same amplifier

Which of the following is TRUE about velocity?

a if velocity changes the object could be speeding up
b if velocity changes the object could be slowing down
c an object with constant velocity is at rest
d Constant velocity is velocity that doesn’t change
e if velocity changes it is accelerating

Answers

Answer:

A

Explanation:

Velocity is when something fast moves

I hope i helped

d) constant velocity is velocity that doesnt change.

its not a, because if it changes you dont know for sure whether or not its speeding up or slow
ing down. its not always going to be speeding up.

its not b either for the same reason, but because its changing doesnt mean that its just speeding/slowing down

not e either since acceleration is different from velocity, you use velocity to find acceleration but this is just wrong.


hope this helped:)

if a basketball and a medicine ball are dropped from the same height at the same time, without air resistance, which ball would land first? explain

Answers

Without air resistance, both the basketball and the medicine ball will fall at the same rate and reach the ground at the same time. This is due to the fact that gravity affects objects the same, regardless of their mass.

Why would the basketball fall first?

When a ball is dropped from a height, the only force acting upon it is gravity. Gravity pulls each ball with the same force; however, the ball with more mass will have more gravitational potential energy than the other. It means the basketball will have more potential energy to convert to kinetic energy during the fall, making it faster than the medicine ball.

Thus, in conclusion, the basketball would fall first as it is more massive than the medicine ball.
When a basketball and a medicine ball are dropped from the same height at the same time without air resistance, the basketball would land first. The explanation for this is due to the size and weight of each ball.

Basketball is heavier than the medicine ball, and both have the same height to fall. The more massive the object, the more gravitational pull it experiences, and thus, it falls faster. So, the basketball would land first if a basketball and a medicine ball are dropped from the same height at the same time without air resistance.

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The items on the right side of the equation are called the a. Coefficient c. Reactants b. Subscript d. Products​

The items on the right side of the equation are called the a. Coefficient c. Reactants b. Subscript d.

Answers

Answer:

products

Explanation:

A combination burglary/fire alarm system listed for household use may be used in a small mercantile occupancy.
A. True
B. False

Answers

The same combination burglary/fire alarm system listed for household use can not be used in a small mercantile occupancy hence the statement is false.

What is a small mercantile occupancy?

A small mercantile occupancy refers to an area that is used for the display of certain goods. It is in short a mini commercial space.

We can not use the same combination burglary/fire alarm system listed for household in a small mercantile occupancy hence the statement is false.

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A block on the end of a spring is pulled to position x = a and released from rest. In one full cycle of its motion, what total distance does the block travel?.

Answers

The total distance that block travel is 4 A.

How to find the total distance does the block travel?

In one full complete cycle of a motion. The block will move back and forth from its original position. Because of the block is pulled to the position x = A, we can say the initial distance travelled = A. When the block is released from the others after being pulled. The cycle = A + A + A = 3A. To hit one full cycle of its motion, the block has to travel, so,

the total distance = 3A + A = 4A

Hence, it is confirm that the total distance the block travel is 4A

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Jacob and David devise an experiment to determine how tall the school building is. They stand on the roof of the school where Jacob drops a rock to the ground while David times it. From the time Jacob drops the rock to the time they hear it hit the ground, it takes 0.81 s. If the speed of sound is 340 m/s how tall is the school? Remember that it takes time for the rock to fall to the ground AND time for the sound of it to come back up for them to hear it.

Answers

Answer:

The school is 3.40 meters tall.

Explanation:

You need to equations to solve this question. You need to know the time it takes to reach the ground and the time it takes for the two observers to hear it. The distance in both cases is the same, so the two conditions can be equated to each other.

Equations.

d = the height of the buildings

a is the acceleration due to gravity and is a constant 9.8i1 m/s^2

t1 is the time it takes to hit the ground

The initial velocity = 0 because the rock was dropped

Equation One

d = vi*t + 1/2 a t^2

Equation Two

d = v * t2

v is the velocity of sound

t2 is the time it takes for the sound to come back from hitting the ground.

d is the height of the school

Solution

vi*t + 1/2 a t1 ^2 = v * t2

t2 = 0.81 - t1

The times are separate, but they add up to 0.81 so

t1 I+ t2 = 0.81

t2 = 0.81 - t1

Rewrite the equation putting in the givens. Remember vi = 0

1/2 9.81  t1^2 = 340 * (0.81 - t1)        Remove the brackets

4.91* t1^2 = 275.4 - 340 t1               Transfer the right side to the left

4.91*t1^2 + 340t1 - 275.4 = 0           Use the quadratic formula to solve

a = 4.91

b = 240

c = -275.4

t1 = (-240 +/- sqrt(240^2 - 4*4.91*-275.4))/(2*4.91)

t1 = .8007 = 0.80

t1 + t2 = 0.81

0.80 + t2 = 0.81 - 0.80

t2 = 0.01

What you have found is the time it takes for the sound to come back to the two observers which is 0.01 seconds

d(height of school) = 340 * 0.01 = 3.4 meters

       

According to Newton’s first law of motion, when will an object at rest begin to move?

when its inertia decreases to zero
when an unbalanced force acts upon it
when the action and reaction forces are equal
when two equal and opposite forces act upon it

Answers

According to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.

option B is the correct answer.

What is Newton's first law of motion?

Newton's first law of motion, also known as the law of inertia, states that an object at rest will remain at rest, and an object in motion will continue in motion with a constant velocity unless acted upon by an external force.

In other words, an object will maintain its state of motion (whether it is at rest or moving in a straight line at a constant speed) unless a force acts upon it.

Thus, according to Newton’s first law of motion, an object at rest will begin to move, when an unbalanced force acts upon it.

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Answer:

its B

Explanation:

Constants Periodic Table Learning Goal: First, let us consider an object launched vertically upward with an initial speed v. Neglect air resistance. To apply the law of conservation of energy to an object launched upward in Earth's gravitational field. In the absence of nonconservative forces such as friction and air resistance, the total mechanical energy in a closed system is conserved. This is one particular case of the law of conservation of energy. Part A As the projectile goes upward, what energy changes take place? Both kinetic and potential energy decrease. In this problem, you will apply the law of conservation of energy to different objects launched from Earth. The energy transformations that take place involve the object's kinetic energy K = (1/2)mv2 and its gravitational potential energy U = mgh. The law of conservation of energy for such cases implies that the sum of the object's kinetic energy and potential energy does not change with time. This idea can be expressed by the equation Both kinetic and potential energy increase. Kinetic energy decreases; potential energy increases. O Kinetic energy increases; potential energy decreases. K+Ui = K+Uf Submit Request Answer where "i" denotes the "initial" moment and "f" denotes the "final" moment. Since any two moments will work, the choice of the moments to consider is, technically, up to you. That choice, though, is usually suggested by the question posed in the problem. Part B Complete previous part(s) Part C Complete previous part(s)

Answers

A As the projectile goes upward, what energy changes take place the energy is gravitational energy.

At the beginning, the projectile can have kinetic electricity because of the preliminary velocity, and we know, via way of means of conservation of electricity, that if there may be no friction withinside the air, the kinetic electricity of the item could be converted into gravitational capability electricity because the peak increases.

In Part A As the projectile goes upward, what energy changes take place then the energy change is gravitational energy change.

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Identify the base quantities un the following
Speed
Area
Force
Distance
Plz help it's urgent

Answers

Answer:

Distance

Explanation:

Distance is the base quantity (measured in lengths) while speed, Area and Force are all derived quantities derived from base quantities.

A 0.5kg hammer hits the head of a nail with a force of 25N. What is the force the head of the nail is doing on the hammer?

Answers

Answer:

25N

Explanation:

The force the head of the nail is doing on the hammer is 25N. This is based on the newton's third of law of motion.

It states that "action and reaction are equal but opposite in direction".

A body exerting a force of 25N on another will get a reaction force of an equal but negative magnitude of force in the opposite direction.

A hockey puck slides to a stop on ice. The coefficient of friction between the puck and

the ice is 0.026. What is the puck’s acceleration?

Answers

Answer:

Explanation:

The puck slides on the ice . Coefficient of sliding friction μ = .026

Limiting frictional force = μ R

R is reaction force of the surface .

R = mg

Friction force = μ mg

deceleration = μ mg / m

= μ g

= .026 x 9.8 = .2548

= 0.26 m /s².

What does Newton's law all about?

Answers

Newton's law is all about motion

(06.04 MC)
Which of the following best describes a human egg cell? (3 points)

Answers

Answer: A haploid cell formed in the female uterus

Write a hypothesis about the effect of increasing resistance on the current in the circuit. Use the "if . . . then . . . because . . ." format and be sure to answer the lesson question: "How do changes in voltage or resistance affect current in an electric circuit?"

Answers

Sample Response: If resistance in a circuit is increased under constant voltage, then current must decrease because Ohm's law states that resistance and current are inversely proportional.

edge 2021

Answer:

If resistance in a circuit is increased under constant voltage, then current must decrease because Ohm's law states that resistance and current are inversely proportional.

Explanation:

edge 2021

so, if i'm gonna jump off the cliff, and you're gonna get pushed off the cliff, why don't we hold hands on the way down?

Answers

Holding hands while falling would not provide any significant support or protection. The force and momentum generated during the fall could potentially put excessive strain on both individuals, making it difficult to maintain a secure grip.

While the idea of holding hands while jumping off a cliff might seem comforting or supportive, it is not a safe or advisable action. Jumping off a cliff is a dangerous activity that can have severe consequences, and it is important to prioritize safety in such situations.

Holding hands while falling would not provide any significant support or protection. The force and momentum generated during the fall could potentially put excessive strain on both individuals, making it difficult to maintain a secure grip. Moreover, attempting to hold hands may interfere with the ability to properly control body position and react to the environment during the descent.

When it comes to activities like cliff jumping or any potentially risky situations, it is essential to prioritize individual safety by following proper safety guidelines, wearing the appropriate gear, and seeking professional guidance if necessary. It's always better to focus on personal safety and take precautions rather than engaging in actions that may increase the risk or danger involved.

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You are a crash test analyst for Toyota. Car 1 (mass = 900 kg) is at rest while Car 2 (mass = 1700 kg) is traveling toward Car 1 at 15.0 m/s. The two cars collide and and their bumpers stick together. What is the resulting momentum after the collision?

Answers

The momentum after the collision is 25500 kg⋅m/s. Each object's momentum may change, but the overall momentum must not change.

What is Momentum ?

In Newtonian mechanics, momentum is calculated as the sum of an object's mass and velocity. It has a magnitude and a direction, making it a vector quantity.

The rate of change of a body's momentum is equal to the net force exerted on it, according to Newton's second law of motion. Regardless of the frame of reference, momentum is a conserved quantity in any inertial frame, which means that if an enclosed system is not subject to outside influences, its total linear momentum remains constant.

The formula for calculating momentum is expressed as

momentum = mass x velocity

According to the law of conservation of momentum, initial momentum = final momentum

The formula for initial momentum is

m1u1 + m2u2

where

m1 = mass of first car

u1 = initial velocity of first car

m2 = mass of second car

u2 = initial velocity of second car

From the information given,

m1 = 900

u1 = 0 because it is at rest

m2 =  1700

u2 = 15.0 m/s

Initial momentum = 900 x 0 +  1700 x 15.0 = 25500

Momentum after the collision is 25500 kg⋅m/s

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how much does it cost to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/kwh?

Answers

It will cost 0.324 Dollars to light six 100w light bulbs for six hours if the price of electrical energy is $0.09/ kwh.

kwh is commercial unit of electric energy. 1 unit= 1 kwh.

When 100 w power device is run for 1 hour, the amount of electrical energy consumed is 1 kwh.

We will find total units of electrical energy consumed in the given question.

energy consumed by 6 bulbs = 6×100= 600 w( joules per second).

The value in kwh is = 600÷1000

                                = 0.6kwh

Total energy consumed in 6 hours is = 0.6×6 = 3.6 kwh

So, the cost is = 3.6×0.09 = 0.324 dollars.

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6th grade science I mark as brainliest.​

6th grade science I mark as brainliest.

Answers

Answer:

Solution:-

Distance =400m

Time=20s

We need to find speed

As we know that

\({\boxed{\sf speed \dfrac {Distance {}_{(d)}}{Time {}_{(t)}}}}\)

Substitute the values

\(\LARGE\leadsto\sf speed=\dfrac {400}{20}\)

\(\LARGE\leadsto\sf 20m/s\)

A rock climber is about to haul up 100 N (about 22.5 pounds)
A rock climber is about to haul up 100 N (about 22.5 pounds) of equipment that has been hanging beneath her on 40 meters of rope that weighs 0.8 newtons per meter. How much work will it take?

Answers

8000 Joules is the amount of work required to haul up the equipment.

Work to haul equipment?

To calculate the work required to haul up the equipment, we need to consider two components: the work done against gravity and the work done against the weight of the rope.

Work against gravity:

The force due to gravity is given by the weight of the equipment, which is 100 N. The distance over which the force is applied is the height the equipment is being hauled, which is 40 meters. The work done against gravity can be calculated using the formula:

Work = Force × Distance

Work against gravity = 100 N × 40 m = 4000 N·m or 4000 J (Joules)

Work against the weight of the rope:

The weight of the rope can be calculated by multiplying the weight per meter (0.8 N/m) by the length of the rope (40 m):

Weight of the rope = 0.8 N/m × 40 m = 32 N

Since the rope is being hauled up, the work done against the weight of the rope is the same as the work done against gravity. Therefore, the work against the weight of the rope is also 4000 J.

The total work required to haul up the equipment is the sum of the work against gravity and the work against the weight of the rope:

Total work = Work against gravity + Work against rope weight

Total work = 4000 J + 4000 J

Total work = 8000 J

Therefore, it will take 8000 Joules of work to haul up the equipme

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A wave has a frequency of 3 Hz, how long is the period?

A 9

B 6

C 3

D .33

Answers

Answer D

Explanation I did the quiz

Under Problems, who can help me with 1-3? Thank you!!!!

Under Problems, who can help me with 1-3? Thank you!!!!

Answers

The current, voltages, resistances of the circuits in problem 1, 2, and 3 are given by Ohm's law as follows;

Questions 1—3 In Problems

The resistance of the hair dryer is 12 OhmsThe current in the light bulb circuit is 0.75 AThe voltage of the battery is 12 Volts

What is Ohms law?

Ohm's law states that the current, I in a circuit or between two points in a circuit is proportional to the voltage, V, across the circuit or the part of the circuit.

Mathematically, V = I × R

Where;

R = The circuit resistance to current

1. The current in the hair dryer draws from the circuit = 10–A

The voltage of the circuit to which the hair dryer is connected = 120–V

From Ohm's law, we have;

V = I•R

R = V/I

I = 10 A

V = 120 V

Therefore;

R = 120 V/(10 A) = 12 Ohms

The hair dryer resistance is R = 12 Ohms

2. The battery resistance = 2 Ohms

The voltage of the battery = 1.5–V

The current in the circuit is therefore found as follows;

R = 2 Ohm

V = 1.5 V

The current, I = V/R

Therefore;

I = (1.5 V)/(2 Ohms) = 0.75 A

The current in the circuit is I = 0.75 A

3. The current supplies by the battery, I = 0.25 A

The battery resistance, R = 48 Ohm

The voltage of the battery, V = I × R

Therefore;

V = 0.25 A × 48 Ohm = 12 V

The voltage of the battery, V = 12 V

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A body at rest move with a uniform acceleration of 2.5ms/^2 for 30seconds. How far does it cover during the journey? ​

Answers

Answer
1125m or 1.1km


SOLUTION
U = 0ms^-1 (because the body is said to be at rest)
a = 2.5ms^-2
t = 30seconds
S (distance) = ?

From the equations of motion
S = ut + 1/2at^2
S= (0 x 30) + (1/2 x 2.5 x 30^2)
S = 0 + 1125
S= 1125m or 1.1km

What is the weight of a 5.5kg bowling ball

Answers

Answer:

2.205 pounds

Explanation:

5.5 kg is 2.205 lbs. hope this helps!

A person uses a force of 7 N to drag a garbage can a distance of 15 m. How much work is done on the garbage can?

Answers

work=force*displacement

7N*15m=105Nm

QUESTION 1
1.1 Define the term acceleration in words

Answers

Answer:

To be better at something

Explanation:

I have Accelerated at cooking

Answer:

Acceleration means to speed up

Explanation:

Fluorine has an atomic number of 9. What can you conclude about an atom of fluorine from this fact?​

Answers

Answer:

it is placed 9th in the periodic table

it is in the the 7th column and the 2nd period

it is a gas

it valence shell has 7 electrons and it can take 1 electron during ionic bonding

Explanation:

this is all that can into my mind. hope it helps

Use Gauss's Law to find the electric field produced by an infinite plane of uniformly distributed charge Q, with charge density σ. Draw the appropriate Gaussian Surface

Answers

Answer:

Explanation:

Consider an endless sheet of uniform charge thickness per unit area \(\sigma\)  

For a boundless sheet of charge, the electric field will be opposite to the surface. In this way, just the closures of a round and hollow Gaussian surface will add to the electric transition. For this situation, around and hollow Gaussian surface opposite to the charge sheet is utilized. The subsequent field is a large portion of that of a conductor at harmony with this surface charge thickness.  

By balance, we expect the electric field on one or the other side of a plane to be an element of x just to be guided typical to the plane and to point away from/towards the plane contingent upon whether, \(\sigma\) is positive/negative.

According to the law;

\(2EA = \dfrac{q_{enc}}{\varepsilon_o}\)

\(where; \ q_{enc} = total \ enclosed charge = \sigma A \\ \\ thus; \\ \\ 2EA = \dfrac{\sigma A}{\varepsilon_o} \\ \\ E = \dfrac{\sigma}{2 \varepsilon _o}\)

Use Gauss's Law to find the electric field produced by an infinite plane of uniformly distributed charge

Anybody know this…..

Anybody know this..

Answers

The calculated value of the heat energy released by the system is 196.16 mJ.

Calculating Q, the heat energy released by the system

To find Q, we can use the following equation:

Q = m * C * ΔT

where:

Q is the heat energy absorbed or released by the system (in joules)m is the mass of the substance (in grams)C is the specific heat capacity of the substance (in J/g·K)ΔT is the change in temperature

First, let's convert the given temperature from °C to K:

Cyn6 = 2100 5/53 degrees C = 2373.24 K

-5°C = 278.15 K

Next, we can use the following equation to calculate C, the specific heat capacity of Cyn6:

λ = Q / (m * ΔT)

Solving for C:

C = λ/ (m * ΔT)

Substituting the given values:

C = (3.9 * 10^6 J/mol) / (238 g/mol * 5.53 K)

C = 2963.21 J/g·K

Finally, we can calculate Q:

Q = m * C * ΔT

Substituting the given values:

Q = (238 g) * (2963.21 J/g·K) * (278.15 K)

Q = 196163613 J

Rewrite as

Q = 196.16 mJ (mega joules)

Therefore, the heat energy released by the system is 196.16 mJ.

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A ship is traveling in a circle around the outside rim of an island park surveying a good place to land. If it is 10 miles from a lighthouse at the center of the island and 45 from due north, how far has the ship traveled from the most northern tip of the island to the nearest tenth? Which of the following represents how England's ability to expand its colonies around the globe affects its economy? A) The colonies provide raw materials for England's industries. B) The boom in shipbuilding helps the labor market. C) The colonies provide model governments for England to emulate. D) The guild system gives way to unionized labor. Alcohol inhibits the activity of antidiuretic hormone (adh). what is the effect of excessive alcohol consumption? a. increased urination b. decreased urination c. normal urination ILL GIVE BRAINLEST!!!! , NEED HELP!!!!!!!!Which statement about Louise Nevelson's sculptures is true?A.They have a limited assortment of forms. B. The objects are more important than the shadows they create. C. A single color and repeated box shapes create unity. D.They have complementary color schemes. What is the Philidelphia Convention aThis is where they decided to throw the Articles of Confederation out and start new bThis is when they decided to become a free country away from Britain cThis is when they picked which founding father would become president dThis is where they listed all of their problems with England _____ might include attendance records, minutes of faculty meetings, policy manuals, and student portfolios. Suppose two firms (Firm 1 and Firm 2) are producing a product. Let the inverse demand function be: P = 50 - 2Q, where Q = Q + Q. Each of the two firms has the cost function TC = 4Q. Based on the information given, calculate the equilibrium P, Q, Q, Q profit and profit under: (a) monopoly (collusion) (b) Cournot (c) Stackelberg PLEASE HELPPPFind the equation of the line.Use exact numbers.y =+y98+7+6+543+2+1-9-8-7-6-5-4-3-21 2 3 4 5 6 7 8 9-21-3- What is the difference between a group policy and a group policy preference?. A person owes $1000 on a credit card that charges an interest rate of 2% per month. Complete this table showing the credit card balance each month if they do not make any payments. monthtotal bill in dollars11,00021,02031,040.40 a 50 kg object is moving east at an unknown velocity when it collides with a 60 kg stationary object. after collision, the 50.0kg object is traveling at a velocity of 6.0 m.s 50 degree n of e and the 60kg object is traveling at a velocity of 6.3m/s 38 degree s of e what was the velocity of the 50 kg object before collison if an accounting firm wishes to perform audits for publicly traded companies, it must - group of answer choices A Wave with a Frequency of 500 Hz is travelling at Speed of 200 m^-1 . What is its Wavelength ? the consumer price index was 225 in 2006 and 234 in 2007. the nominal interest rate during this period was 6.5 percent. what was the real interest rate during this period? group of answer choices 2.5 percent 4.0 percent 6.76 percent 10.5 percent Please help! Giving out brainliest! P.S. I know how to do this, but I already took a long time on this.AND PLEASE DO NOT GIVE ME A BUNCH OF RUBBISH JUST FOR POINTS! What do muslims belive about angles and about jugement why do my armpits smell like onions all of a sudden Although both minerals and fossil fuels are nonrenewable resources, how is mineral use more sustainable than fossil fuel use? CH3CH3C(CH3)2CH2I classification and name what is the slope of the perpendicular to the line 5x + 8y = 5