How does the area of triangle rst compare to the area of triangle lmn? the area of △rst is 2 square units less than the area of △lmn. the area of △rst is equal to the area of △lmn. the area of △rst is 2 square units greater than the area of △lmn. the area of △rst is 4 square units greater than the area of △lmn.

Answers

Answer 1

The area of △rst is equal to the area of △lmn.

The answer is option B.

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

Learn more about Problem-solving here: brainly.com/question/13818690

#SPJ4


Related Questions

A boat floats south on the Amazon River at a speed of 6 m/s south. The boat and passengers have a combined mass of 540 kg.

a. What is the momentum of the boat? (3 points)








b. A passenger drags his hand in the water, applying an impulse of 3200 kg·m/s to the north. What is the new velocity of the boat? (3 points)

Answers

A. The momentum of the boat, given the data is 3240 Kg.m/s

B. The new velocity of the boat is 11.93 m/s

What is momentum?

Momentum is defined as the product of mass and velocity. It is expressed as

Momentum = mass × velocity

What is impulse?

This is defined as the change in momentum of an object.

Impulse = change in momentum

Impulse = final moment – Initial momentum

Imulpse = m(v - u)

How to determine the momentumMass = 540 Kgvelocity = 6 m/sMomentum = ?

Momentum = mass × velocity

Momentum = 540 × 6

Momentum = 3240 Kg.m/s

How to determine the new velocityMass = 540 KgInitial velocity = 6 m/sImpulse = 3200 kg·m/sFinal velocity =?

Imulpse = m(v - u)

3200 = 540 × (v - 6)

Divide both sides by 540

v - 6 = 3200 / 540

v - 6 = 5.93

Collect like terms

v = 5.93 + 6

v = 11.93 m/s

Learn more about momentum:

https://brainly.com/question/250648

#SPJ1

Kristen has two identical sized cubes, one is lead (Pb) and one is copper (Cu). Kristen is determining the density of each cube. Which property will be the same in each cube?

Answers

Answer:

volume

Explanation:

Identical size means volume will be the same in each calculation of

density =   mass / volume

The immersed volume of body in a liquid depends on density of the liquid. TRUE or FALSE?​

Answers

Answer:

True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.

An object moving with a speed of 1 m/s accelerates uniformly at 9 m/s2 in the direction of its motion for a distance of 7 meters. What is the final speed of the object

Answers

The final speed of the object is 11.2m/s.

To find the answer, we need to know about the Newton's equation of motion.

What's the Newton's equation of motion that establish a relation between initial velocity, final velocity, acceleration and distance?The Newton's equation of motion is V²-U²= 2aSU = initial velocity, V= final velocity, a= acceleration and S = distance.What's the final velocity, if initial velocity, acceleration and distance are 1m/s, 9 m/s² and 7m respectively?Here, U= 1m/s, a= 9 m/s² and S= 7mV²- 1²= 2×9×7= 126

V= √126= 11.2 m/s

Thus, we can conclude that the final speed is 11.2 m/s.

Learn more about the Newton's equation of motion here:

brainly.com/question/8898885

#SPJ4

find the answers of the questions given below

Answers

Answer:

i)[tex]0m/s^{2}[/tex]

ii)20m/s

iii)300m

Explanation:

In this Velocity-Time graph,

i) The acceleration can be found by finding the slope of the graph, which in this case, since it is a horizontal line, the slope = 0 therefore the acceleration = [tex]0m/s^{2}[/tex]

ii)The velocity can be found on the y-axis, in this case, is 20m/s.

iii)The distance covered can be found by finding the area of the graph to the corresponding time. In this case,

t=15

Distance covered = 20m/s * 15s

= 300m

Acceleration :

Velocity does not changeHence, [tex]\boxed {a = 0 m/s^{2}}[/tex]

Velocity :

According to the graph, the cyclist has a constant velocity of 20 m/s[tex]\fbox {v = 20 m/s}[/tex]

Distance :

Use the formula, [tex]\boxed {S = v \times t}[/tex], as velocity is constantS = 20 × 15[tex]\fbox {S = 300 m}[/tex]

The volume of a certain quantity of nitrogen at 0 ºC is 10 L. Determine, if the pressure does not vary, what the volume will be at -20 ºC. What would happen if instead of N2 the gas was hydrogen?

Answers

From the calculations, the volume of the gas is obtained as 9.3 L

What is the gas laws?

The gas laws show the relationship between the volume, pressure, temperature and the number of moles of a gas.

Given that;

V1 = 10 L

T1 =  0 ºC + 273 = 273 K

V2 = ?

T2 =  -20 ºC + 273 = 253 K

It then follows that;

V1/T1 = V2/T2

V1T2 = V2T1

V2 = V1T2/T1

V2 = 10 L * 253 K/273 K

V2 = 9.3 L

If the gas were to be hydrogen, the volume of the gas will decrease even further,

Learn more about gas laws:https://brainly.com/question/12669509

#SPJ1

When Stone B collides with Stone A during Test 2, Stone B stops and Stone A begins to move. Which statement BEST describes the momentum in Test 2?

A
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is conserved.

B
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.

C
Stone A moves away from Stone B at a velocity of 4 m/s, and the momentum is not conserved.

D
Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is conserved.

Answers

Answer:

A

Explanation:

According to law of conservation of momentum, the total momentual in the system will be conserved

Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved is the correct answer. The correct option is (b).

The momentum of Stone A is transferred to Stone B when Stone B strikes Stone A and stops. Stone A begins to move with a 2 m/s velocity in the opposite direction as a result (because Stone B was going with a 2 m/s velocity in the opposite direction).

The momentum is not conserved, though, because the momentum of Stone B prior to the impact (which was in the opposite direction) does not match the momentum of Stone A following the contact. The impact results in a little loss of momentum, perhaps as a result of friction or other dissipative forces.

Therefore, The correct option is (b). Stone A moves away from Stone B at a velocity of 2 m/s, and the momentum is not conserved.

To know more about the momentum:

https://brainly.com/question/30677308

#SPJ3

Which phrase is most similar in meaning to “scientific theory”?
A. a rigorously tested explanation
B. a mathematical relationship
C. an opinion of what should happen

Answers

Answer:

scientific theory”?A. a best guess explanation. B. a rigorously tested explanation. C. an opinion of what should happen. D. a mathematical relationship

It’s the first option a rigorously rested explanation

A 10-kg ring with outer radius 1.5 m and inner radius 1.2 m is placed snuggly around a solid sphere with mass 8.0 kg and radius 1.2 m. The combination rotates about the axis of the cylinder. What is the rotational inertia of the combination

Answers

The rotational inertia of the combination is 21.5kg m2

Given that mass of ring = 10kg , outer radius 1.5 m and   inner radius 1.2 m

Radius of ring = ½(1.5+1.2) =1.35m

Mass of solid sphere=8kg

Radius of sphere =1.2m

A combination rotational inertia of ring and solid sphere is addiction of rotation inertia of ring and solid sphere

Rotational inertia of ring Ir=MR^2

Rotational inertia of solid sphere Is=2/5MR^2

Combination rotational inertia of ring and solid sphere

I=Ir+Is

=M1R^2+2/5M2R^2

=(10)(1.3^2)+⅖(8)(1.2^2)

=16.9+4.608

=21.5kg m2

Hence the rotational inertia of the combination is 21.5kg/m^2

Learn more about Rotational Inertia here

https://brainly.com/question/28019200

#SPJ4

An electron is accelerated from rest by an electric potential difference of 437 V, and then enters a region of uniform magnetic field. The magnetic field is oriented perpendicular to the velocity with a magnitude of 42.8 mT. What will the radius of the electron's path be once it enters the magnetic field

Answers

The radius of the electron's path is once it enters the magnetic field 3.16*10^-4 m.

The electric capacity difference, additionally called voltage, is the outside work needed to bring a rate from one region to some other area in an electric discipline. The electric powered capacity distinction is the change of potential electricity skilled by way of a test rate that has a fee of +1.

The distinction in ability among two points represents the paintings worried or the electricity released in the switch of a unit amount of power from one factor to the other.

Electric ability is the work executed in step with unit fee in bringing the fee from infinity to that factor against electrostatic pressure. In a conductor, electrons float simplest when there is a difference in electric stress at its ends. This is additionally known as the capacity distinction.

Learn more about the electric potential difference here https://brainly.com/question/14306881

#SPJ4

If you can walk at 3 mph, how far away is school if it takes you 20 minutes?
A. 0.5 miles
B. 1 mile
C. 2 miles
D. 1.5 miles

Answers

Answer:

The answer is B, 1 mile

Explanation:

60 (minutes) ÷ 3 (mph) = 20, which means every 20 minutes you are traveling 1 mile

A cheetah can accelerate from rest to a speed of 28.5 m/s in 4.25 s. What is its acceleration (in m/s2)

Answers

Answer:

6.71 meters per second squared

Explanation:

Speed vs velocity

Average acceleration is defined as the rate of change of velocity per unit of time.

Velocity is a vector, a quantity that has both direction and magnitude (size).  In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.

[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]

Analyzing units

The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.

The units all match, so we just need to substitute and calculate/simplify

Calculations

[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]

[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]

Accounting for significant figures, the acceleration is 6.71 meters per second squared.

A stone of weight $w$ is thrown vertically upward into the air with an initial speed $v_0$. Suppose that the air drag force $f$ dissipates an amount $fy$ of mechanical energy as the stone travels a distance $y$. What is the speed of the stone upon impact with the ground

Answers

The speed of the stone upon impact with the ground [tex]{V_f}={V_o} (\frac{w-f}{w+f})^{\frac{1}{2}}[/tex]

Given

The initial speed = [tex]{V_o}[/tex]

Explanation

Acceleration

The state of going quickly or taking place quickly.acceleration: the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates.

Acceleration when ball is moving upward = (w + f)/m

[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}}$[/tex]

[tex]$=0-\mathrm{V}_{0}^{2}=-2 \mathrm{~s}\left(\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right)$[/tex]  ..... (i)

[tex]$\mathrm{s}=\frac{\mathrm{V}_{0}^{2}}{2\left[\frac{\mathrm{w}+\mathrm{f}}{\mathrm{m}}\right]}$[/tex]

While coming down

[tex]{V_i=0}[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}^{2}-\mathrm{V}_{\mathrm{i}}^{2}=2 \overrightarrow{\mathrm{a}} \cdot \overrightarrow{\mathrm{s}} ; \mathrm{a}=(\mathrm{w}+\mathrm{f})$[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}=\sqrt{\frac{2 \times(\mathrm{w}-\mathrm{f}) \mathrm{V}_{0}^{2}}{2(\mathrm{w}+\mathrm{f})}}$[/tex]

[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]

The speed of the stone upon impact with the ground

[tex]$\mathrm{V}_{\mathrm{f}}=\mathrm{V}_{\circ}\left(\frac{\mathrm{w}-\mathrm{f}}{\mathrm{w}+\mathrm{f}}\right)^{1 / 2}$[/tex]

Learn more about acceleration here:

https://brainly.com/question/605631

#SPJ4

What is the name of the front part of the eye which refracts incoming light onto the lens?.

Answers

Answer:

CORNEA

Explanation:-

Cornea: Basically the transparent circular part of the front of the eyeball. It refracts the light entering the eye onto the lens, which then focuses it onto the retina. The cornea contains no blood vessels and is extremely sensitive to pain.
Hope it helps

You are traveling at 55 mi/h along the x-axis relative to a straight, level road and pass a car that is traveling at 45 mi/h. The relative velocity of your car to the other car is

Answers

Answer:

10 mph

Explanation:

55 - 45 = 10 mph

A counterclockwise current of 3.0 A is circling around a wire loop (positioned directly in front of you) having an area of 5.8 x 10-2 m2. What is the magnetic dipole moment

Answers

The magnetic dipole moment of the wire loop is 0.174 Am².

Magnetic dipole moment

The magnetic dipole moment is calculated as follows;

μ = NIA

where;

N is number of loopI is currentA is area of the loop

μ = (3)(5.8 x 10⁻²)

μ = 0.174 Am²

Thus, the magnetic dipole moment of the wire loop is 0.174 Am².

Learn more about dipole moment here: https://brainly.com/question/27590192

#SPJ1

([3] w) p
18.0
16.0-
14.0
12.0-
10.0-
8.0 -
6.0
4.0
2.0 -
0-
0
0.5
Position v. Time for Motion with Uniform Acceleration
1.0 1.5
2.0
t(s)
2.5
run
3.0
3.5
4.0
rise
4.5
Practice
1. (a) Determine the instantaneous velocity at t= 1.0 s for the graph shown in Figure 6.
(b) Determine the instantaneous velocity at t = 3.0 s for the graph shown in Figure 6.

I need help figuring out what steps I should take.

Answers

Explanation:

the density of liquid x is 40g and a bottle full of water has the density of 70g find the density of liquid x (d=1g/cm3)

Which best describes the relationship between energy and entropy in the universe? for entropy to increase, energy must be added. for entropy to decrease, energy must be added. for entropy to remain constant, energy must be added.

Answers

Answer:

Entropy is a measure of the order/disorder during the transformation of the state of a system and is defined as the total variation of energy at a defined temperature. From point of view of statistical mechanics, this variation of energy is generated from statistical transitions of the internal states of the system. In this sense, entropy can measure how easy it is to reach a defined state of the system. Now, imagine a text stream that arrives to you character by character in a screen. If the text is meaningless, then every character has the same probability of appearing to you and therefore the entropy is maximal because this disorder is maximal. If you want to transfer information, then you have to spend a little bit of energy in ordering the characters because this does not happen spontaneously. The final state of the system is more ordered in respect to the earlier one, so the entropy is less than the entropy of random text. This means that, if you want to reduce entropy in order to transfer information, then you must spend energy.

Explanation:

Answer: For entropy to decrease, energy must be added. (B)

Explanation: Trust me bbg c;

Block X and Y are attached to each other by a light rope and can slide along a horizontal
surface. Mass of block X is 10 kg and that of block Y is 5 kg. The magnitude of force of friction
on blocks X and Y is 8.0 N and 4.0 N respectively. Find the action-reaction forces that the
blocks exert on each other if an applied force of 40 N [right] acts on block per the illustration
below.


a) The force of X on Y is 7.4 N [right] and the force of Y on X is 4.1 N [left]
Jhry
Ob) The force of X on Y is 12 N [right] and the force of Y on X is 14 N [left]
c) The force of X on Y is 14 N [right] and the force of Y on X is 14 N [left]
O d) The force of X on Y is 22 N [right] and the force of Y on X is 22 N [left]

Answers

B. The force of X on Y is is approximately 13 N [right].

Tension in the rope

The action-reaction forces that the blocks exert on each other is calculated as follows;

Net force on the blocks = 40 N - (8 N + 4 N) = 28 N

Total mass of the blocks = 10 kg + 5 kg = 15 kg

Acceleration of the blocks

a = F(net)/M

a = 28 N / 15 kg

a = 1.867 m/s²

Considering object X,

40 N - 8N - T = 10 x 1.867

T = 13.33 N

Considering object Y,

40 N - 4N - T = 5 x 1.867

T = 26.67 N

Thus, the force of X on Y is is approximately 13 N [right].

Learn more about net force here: https://brainly.com/question/14361879

#SPJ1

using knowledge of states of matter,write a message about the importance of science in our society​

Answers

Answer:

उव्ग्वुव ह्व्झ एउएइहे एइएइएइएएइ सिसुब्स्सी बीस सिस इस्ब एइब

Explanation:

?उग्व्ब्वु विब्सिए इसिग्व विद्बिअब्द सिह्व्व इस्ब्व दिव्ब्स विह्द ऐद्जिइ सुउगव्दी सिइगैगे क्ज्गैइव अजिव्व्ज्व्स कैह्द अजि ह्ज्फ्ज इअह इकुगै ईग इअबे अजिव्ब जैइअब इऐहे ऐइहे ऐइग्गे अत्व्ब ओप्झब रोज दिधिए ऊइफ्ब इसुहद ईउहे सिउउअ दिइब्द स्सिउए ऐइहे सिएय्व एउविये एइव्वे

write down the factors that affect weight of a body. ​

Answers

List of things that could affect your body weight:

GeneticsStressAgeDiet (or Lifestyle)HydrationMedicationsMedical ConditionsSleep

Answer:

mass and gravity

Explanation:

From a PHYSICS standpoint:

mass   and gravity   determine the weight of a body

According to the Theory of Continental Drift, South America and Africa once formed part of a single larger continent called Pangaea that eventually broke apart. Today, the average distance between matching shorelines of South America and Africa is about 8000 km. Measurements indicate that the continents are drifting apart at a speed of about 4.0 cm/year. a. According to these measurements, how long ago did these continents separate? b. What assumptions did you make in order to answer (a)?​

Answers

According to the Theory of Continental Drift, we can predict that:

a. These continents separate for an average of 200000000 years b. The assumption made is that the current distance is 8000 km which is 800000000 cm.

Meaning of Continental Drift

Continental Drift can be defined as a hypothesis that was put forth, that the Earth's continents have moved over  time relative to each other and as the time goes its keeps on moving, increasing the distance between them.

Continental Drift makes the continents look like they have drifted across the ocean.

In conclusion, Our predictions are stated above.

Learn more about Continental Drift:https://brainly.com/question/394265

#SPJ1

In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by _____ means.

Answers

Option (d) All of these is correct.

In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by hydraulic, mechanical and electrical means.

AWD vehicle stands for All-wheel drive vehicle.

A vehicle with all-wheel drive (AWD) has a powertrain that can drive all of its wheels, either continuously or as needed.

When we say the torque distribution is 50/50 "in normal conditions," we imply that the moment of force applied to the front and rear wheels is equal when all wheels have the same adhesion.

In an automatic AWD vehicle normally one axle receives all the torque and sent to other axle by hydraulic, mechanical and electrical means.

So that's why when the spillage occurs, 50% of the torque can be sent to the other axle also by hydraulic, mechanical and electrical means.

Hence, Option (d) All of these is correct.

Learn more about AWD vehicles here https://brainly.com/question/14308410

#SPJ4

Who predicted that a comment has a cyclic repeating pattern

Answers

Answer:

If u mean a comet, then Edmund Halley should be the person you're looking for.

11. Amy is in a car that is moving at a speed of 50 kilometers/hour. If she moves a total distance of
230 kilometers, how long was she in the car?

Answers

4 hours and 36minutes

The curved section of a speedway is a circular arc having a radius of 190 m. this curve is properly banked for racecars moving at 34 m/s. at what angle with the horizontal is the curved part of the speedway banked?

Answers

The banking angle of the curved part of the speedway is determined as 32⁰.

Banking angle of the curved road

The banking angle of the curved part of the speedway is calculated as follows;

V(max) = √(rg tanθ)

where;

r is radius of the pathg is acceleration due to gravity

V² = rg tanθ

tanθ = V²/rg

tanθ = (34²)/(190 x 9.8)

tanθ = 0.62

θ = arc tan(0.62)

θ = 31.8

θ ≈ 32⁰

Learn more about banking angle here: https://brainly.com/question/8169892

#SPJ1

Look at the heart shape shown below. Will the centre of mass of this shape be nearer the top or the bottom of the heart?

Answers

Answer:

Nearer the top

Explanation:

Since the shape is not symmetrical in all axis, from the shape, there is more matter occupying the top half of the image. Hence the senter of gravity being at the top

When a current is passed through plasma and that current is increased will the temperature of the plasma increase . if it does then as temperature of plasma increases its resistance will decrease which will lead to increase in current again

Answers

The temperature of the plasma will increase as current is passed through it.

Meaning of Current and temperature

Current can be defined as a flow of charged particles through a medium and the particles includes: electrons or ions.

Temperature is the degree of hotness or coldness experienced by a material.

The more current passes through the plasma the more energy is induced making the particles to move faster which in turns causes temperature to increase and reducing the resistance of the plasma.

In conclusion, The current causes temperature to increase and this reduces the resistance.

Learn more about current: https://brainly.com/question/1100341

#SPJ1

To determine the focal length of a convex lens, a student focuses a classroom window, a
distant tree and Sun on the screen. In which case, will the student get a value closer to
the accurate value of focal length?

Answers

To determine the focal length of a convex lens, if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.

To find the answer, we need to know more about the focal length of a convex lens.

Why we get a focal length which is closer to the accurate value if we focusing sun?The focal length of an optical system can be defined as the measure of how sharply it converges or diverges the light.Focal length of convex lens is the distance between the pole and the focus of the convex lens.Convex lens converges all the rays coming from the distant object at its focal point to form a real image.If the object is at more distance from the lens, then we get sharper image.If we focus on a nearby window, then image will form away from the focal point.In the case of a distant tree, we need to move the screen towards the lens to get the focal point.

Thus, we can conclude that, the if we are using sun as distant object, then we get a value which is closer to the accurate value of convex lens.

Learn more about the focal length of a convex lens here:

https://brainly.com/question/28039799

#SPJ1

If we use the sun as a distant object to calculate the convex lens's focal length, we obtain a number that is more closely related to the actual convex lens value.

We need to learn more about a convex lens's focal length in order to locate the solution.

Why, if we concentrate the sun, do we obtain a focal length that is closer to the correct value?An optical system's focal length is a measurement of how sharply the light converges or diverges.The distance between the convex lens's pole and its focus is known as its focal length.Convex lenses focus all of the rays from the distant object at their focal point to create a true image.We receive a crisper image if the object is farther away from the lens.Away from the focal point, an image will form if we concentrate on a neighboring window.To get the focal point on a distant tree, we must move the screen in the direction of the lens.

We can therefore draw the conclusion that if we use the sun as a distant object, we will obtain a value that is closer to the convex lens's actual value.

Learn more about a convex lens's focal length here:

https://brainly.com/question/28039799

#SPJ1

Stars that have ejected a planetary nebula go on to become white dwarfs. supernovae. protostars. red giants.

Answers

Stars that have ejected a planetary nebula go on to become white

 dwarfs.

As we know planetary nebula is a type of glowing shell of ionized gases and there are various stages for the formation of stars. Stars are formed when dispersed matter in gaseous form starts coalescing together under the force of gravity into a compact object. Gravity continuously tries to shrink the object and during this process, the density and temperature inside the star rises.

The fate of the star depends critically on its mass. For stars with mass less than 1.4 solar masses of sun collapse into an extremely dense compact object called "white dwarf". Electron degeneracy pressure is responsible for counterbalancing the inward gravitational force in "white dwarf".

 Learn more about stars here:

    https://brainly.com/question/12741050

         #SPJ4

Other Questions
A cabbage is worth 55 points, an apple is worth 40 points, a potato is worth 45 points and a pumpkin is worth 60 points. How many points is a cauliflower worth? 2 Add the given fractions. Write the answers in the simplest formA. 18/16 and 22/24 =B. 23/13 and 42/15 =C. 27/16 + 15/12 = A highway patrol officer is seated on a motorcycle on a curvy section of Highway 1. The posted speed limit is 45 miles per hour on this stretch of highway. The officer is monitoring traffic using radar. The next exit is 3.6 miles up the road. The radar picks up a speeding car averaging 68 mph. When the officer tries to start his motorcycle to follow the car, it wont start. He tries again and again, and soon he fears that he wont be able to catch the speeding car before it turns off the highway. Finally, his motorcycle starts and he begins the pursuit 30 seconds after the speeding car has passed him on the roadside.How fast does the officer need to go to catch up to the speeding car? What is his average speed in pursuit? In the diagram below, if AB = 24, AC = 8, and BD = 6, then find the length of DC.A) 8B) 2C) 12D) 3thank you :) What is the output of the following program?public class Test {public static void main(String[] args) {new A();new B();}}class A {int i = 7;public A() {setI(20);System.out.println("i from A is " + i);}public void setI(int i) {this.i = 2 * i;}}class B extends A {public B() {System.out.println("i from B is " + i);}public void setI(int i) {this.i = 3 * i;}} Using the side lengths of pqr and stu, which angle has a sine ratio of four-fifths? p q t u Lloyds lab partner is looking down into a test tube while he heats the contents by using a flame. Which action should lloyd recommend to his partner if heating must continue?. Given f(x) = 4x + 2, find f-1(3). A worker at a farm supply company in Franklin County is mixing up a 420-kilogram batch of its special grain blend for horses, which costs $5.80 per kilogram to make. If the mixture includes oats that cost $9.40 per kilogram and feed corn that costs $3.40 per kilogram, how many kilograms of each should the worker include in the mixture?_?__ Kilograms of oats_?__ Kilograms of feed corn WILL GIVE BRAINLIESTQuestion 9(Multiple Choice Worth 5 points)(01.02 LC)Which of the following is true about the weight of an object?O It remains same for the object.O It cannot be measured accurately.O It is a force acting on the object.O It is always less than the mass of the object. PLS HELP f(x) = -3x + x - 3, find f(1). I have a rubber ball in my hand. Which tence is the sentence written? How did geographers deal with the issue of mapping a three-dimensional on a two-dimensional surface? You have a bag of marbles that has 12 red, 5 green, 6 yellow, and 4 blue. If you draw one at random, what is P(red or green)? (What is the percentage) Carbon fiber (CFRC) is generally stronger than steel, however, steel has a density that is about ____ compared to carbon fiber. Jorge feels he gets plenty of exercise; however, his doctor wants him to meet at least the recommended exercise requirements of the AmerHeart Association. How can Jorge BEST meet these requirements?OA. He should lift heavy weights for 45 minutes 3 days a week.OB. He should jog for 30 minutes 5 days a week.OC. He should do yoga for 60 minutes 2 days a week.COD.He should do 10 sprints every day for 4 days a week. Please answer the question below Dante is making his first purchase using a credit. He asks his friend Tay to educate him about using credit. What is the BEST advice Tay can give him? in compost heaps, dead plants are broken down into microbes. This breakdown is much Slower when the weather is cold, the weather is dry, and when the heap of squash down so that no air can circulate.A) what three conditions inside compost heaps are needed for microbes to work quickly?B) why is the breakdown of dead plants important to living plants? Interpret, in a written description, what the graph is saying about the relationship between the variables. A graph has time (hours) on the x-axis, and distance (miles) on the y-axis. A line increases to 2 hours, is constant through 3 hours, and then increases through 6 hours. a. You leave home and drive for 6 hours with no stops. b. You leave home, drive for 1 hours at a constant speed, stop for 30 minutes, continue at the same speed, stop for 1 hour and then continue at the same speed as before. c. You leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally you continue at a slower (but constant) speed than before. d. You leave home, drive for 3 hours at a constant speed, and then stop for 2 hours. Finally you continue at the same speed as before. Please select the best answer from the choices provided