Answer:
T1 = 1862 N
T2 = 1663 N
Explanation:
We can represent the situation with the following figure
The system is in equilibrium, so the sum of vertical and horizontal forces is 0. It means that we can write the following equations
\(\begin{gathered} \\ T_1\sin47-T_2\sin55=0 \\ T_1\cos47+T_2\cos55-mg=0 \end{gathered}\)Replacing the values, we get:
\(\begin{gathered} T_1(0.731)-T_2(0.819)=0 \\ T_1(0.682)+T_2(0.574)-227(9.8)=0 \\ \\ 0.731T_1-0.819T_2=0 \\ 0.682T_1+0.574T_2-2224.6=0 \end{gathered}\)Now, we can solve the first equation for T1
\(\begin{gathered} 0.731T_1=0.819T_2 \\ \\ T_1=\frac{0.819T_2}{0.731} \\ \\ T_1=1.12T_2 \end{gathered}\)Then, replace this equation with the second equation and solve for T2
\(\begin{gathered} 0.682T_1+0.574T_2=2224.6 \\ 0.682(1.12T_2)+0.574T_2=2224.6 \\ 0.764T_2+0.574T_2=2224.6 \\ 1.338T_2=2224.6 \\ \\ T_2=\frac{2224.6}{1.338} \\ \\ T_2=1663 \end{gathered}\)Finally, the value of T1 is
\(\begin{gathered} T_1=1.12T_2 \\ T_1=1.12(1662.505) \\ T_1=1862 \end{gathered}\)Therefore, the tension of each rope is 1862 N and 1663 N.
What is the formula for Angular velocity?
Answer:
The formulas are down below
Explanation:
\(w = \frac{o}{t} \)
From V=rw
\(w = \frac{v}{r} \)
The two objects shown are both positively charged. Which position could possibly have zero electric field?
- A
- B
- C
- D
- They could all have zero electric field
The position they could possibly have zero electric field is C.
What is electric field?An electric field is a physical field that exists in the space surrounding electrically charged particles or objects. It is a vector field, meaning that it has both magnitude and direction.
When a charged particle is present in a space, it creates an electric field that exerts a force on any other charged particles in the vicinity.
The strength of the electric field at any given point is defined as the force per unit charge that a small test charge would experience if placed at that point.
The magnitude and direction of the electric field depend on the distance between the charges and their magnitudes. The electric field is stronger when the charges are closer together and weaker when they are farther apart.
So position they could experience zero electric field is C, assuming point C if very far from the two charges.
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Part D If you increase the frequency, what happens to the velocity of the wave? In answering this question, describe how you determined the velocity as well as the result you arrived at. Then, provide a scientific explanation for this result, based on your knowledge of waves.
To determine the velocity of a wave, we need to know its wavelength and frequency. The velocity of a wave is given by the equation:
v = λf
where v is the velocity of the wave, λ is the wavelength, and f is the frequency.
If we increase the frequency of a wave while keeping the wavelength constant, the velocity of the wave will increase. This is because the wavelength and frequency of a wave are inversely proportional to each other, meaning that if we increase one while keeping the other constant, the velocity must change to maintain the equation v = λf.
For example, if we have a wave with a frequency of 10 Hz and a wavelength of 1 meter, the velocity of the wave would be 10 meters per second. If we increase the frequency to 20 Hz while keeping the wavelength constant at 1 meter, the velocity of the wave would increase to 20 meters per second.
What is a constant ?A constant is a value or quantity that remains the same throughout a given context or situation. It is a fixed, unchanging value or property that does not vary or fluctuate. Constants can be defined in many areas, including mathematics, science, and engineering.
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A graph shows distance (km) v. time (h) for a car trip. If two points on the graph are (1, 40) and (3,130), which is the average speed during this interval of time?
We are given two points on the distance-time graph: (1, 40) and (3,130)
This means that:
At time 1 hour, the distance traveled was 40 km
At time 3 hours, the distance traveled was 130 km
We want to find the average speed during this 2 hour interval (from 1 hour to 3 hours).
Average speed is defined as:
Average Speed = Change in Distance / Change in Time
The change in distance is the distance traveled from 1 hour to 3 hours, which is 130 km - 40 km = 90 km
The change in time is 3 hours - 1 hour = 2 hours
So, the average speed is:Average Speed = 90 km / 2 hours
= 45 km/hr
Therefore, the average speed during this interval of time is 45 km/hr.
A box slides across a frictionless horizontal surface with constant acceleration 4.70 m/s2 and over a time interval reaches a final velocity of 13.0 m/s. (a) If its initial velocity is 6.50 m/s, what is its displacement (in m) during the time interval?
The displacement of the box is obtained as 13.48 m along the horizontal surface.
What is the displacement?Let us recall that the displacement is the distance covered in a specific direction. The displacement is a vector quantity because it has both magnitude and direction.
In this case, we want to obtain the displacement of the box when;
Initial velocity u = 6.50 m/s
final velocity v = 13.0 m/s
Acceleration a = 4.70 m/s2
Now;
v^2 = u^2 + 2as
s = v^2 - u^2 /2a
s = (13)^2 - (6.5)^2/ 2 (4.70)
s = 126.75/9.4
s = 13.48 m along the horizontal surface
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Find the equivalent resistance between points A and B
shown in Figure 31.
The equivalent resistance between points A and B is 0.837Ω.
Resistors in series are connected end-to-end so that the current flows through them in sequence. The equivalent resistance of resistors in series is the sum of their individual resistances.
The formula for equivalent resistance of resistors in series: R_eq = R_1 + R_2 + ... + R_n
Resistors in parallel are connected across each other so that the voltage is the same across each resistor. The equivalent resistance of resistors in parallel is the reciprocal of the sum of the reciprocals of their individual resistances.
The formula for equivalent resistance of resistors in parallel: 1/R_eq = 1/R_1 + 1/R_2 + ... + 1/R_n
Here in the Fig.
we can simplify the second set of resistors in parallel (4.8 Ω, 3.3 Ω, and 8.1 Ω) using the same formula:
1/Req1 = 1/4.8 + 1/3.3 + 1/8.1
Req1=1.575Ω
This Req1 connected series with 6.3Ω, then Req of this two resistance given by:
Req2= 1.575Ω+ 6.3Ω
Req2=7.875Ω
Once again this req2 makes the parallel with the other two resistance i. e 1.5Ω and 2.5Ω
Their equivalent resistance is given by,
1/Req3=1/1.5 + 1/2.5 + 1/7.875
Req3=0.837Ω
Hence, The equivalent resistance between points A and B is 0.837Ω
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Which of the following is an example of Newton's second law of motion?A. A satellite in space can travel without slowing down, even afterusing up all its fuel.B. When a gymnast jumps off the ground, Earth also exerts a forceon the gymnast.C. Rocks lose energy as they roll down a hillside.D. A wheelbarrow is more difficult to move as more objects areplaced inside.
The correct answer is option D.
Newton's second law states that the force (F) applied on an object is equal to the product of the mass of the object and the acceleration produced due to the applied force.
That is,
We have 3 gears meshed with the following teeth. A – 20; B – 50; C – 30. Another set of gears have the following teeth. X – 20; Y – 25; Z – 30. Assuming gears A and X are running at the same rpm. Which statement is correct?
gear C and Z will run at the same RPM
RPM is not a unit, according to the International System of Units (SI). The word "revolution" is a semantic annotation rather than a unit, which explains this. RPM formula sign must be f for (rotational) frequency and or for angular velocity due to the measured physical quantity. s−1 or Hz is the basic SI-derived unit that corresponds. The radians per the second unit are used to express angular speed.
As a result, a disc rotating at 60 RPM is considered to be rotating at either 2 rad/s or 1 Hz, where the former refers to angular velocity and the latter to the rate of revolutions per second.
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Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely
Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.
What are Inclined mirrors?
A mirror is said to be inclined when it is positioned perpendicular to a surface or if a flat mirror is positioned at an angle from the base (other than 90 degrees).
We first need to comprehend light in order to comprehend mirrors. According to the rule of reflection, a light beam that strikes a surface will bounce back like a tennis ball bounced against a wall.
Always equal to the angle leaving the surface, or the angle of reflection, is the entering angle, also known as the angle of incidence.
Therefore, Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.
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what kind of substance has particles that are close together, but can change shape depending on its container
Answer:
the liquid state
Explanation:
because the particles can move about freely, a liquid has no definite shape and takes a shape dictated by its container.
Exercise releases chemicals in our bodies called
Answer:
endorphins
Explanation:
Excluding air pressure, there is how many force or force(s) acting on a book lying at rest on a tabletop?
Answer: 2 Forces
Explanation:
1. Normal force- object is on a surface
2. Weight
Two equal and opposite charges are placed 40mm apart,if the force between them is found to be 0.5N Calculate the magnitude of the charge
You were chosen to co-pilot a mission to Mars. After successfully reaching a stable orbit, a piece of space-junk hits the Shuttle and you are sent out on a space walk with out a rope and only with a large roll of duct tape to repair the damage. You lose your grip during the walk and start to float away from the shuttle and realize you don’t have a safety line to grab. Should Mr. Wright call your parents to tell them you floated out into space or is it possible you can get back to the ship? Explain your answer. If possible, include a force diagram in your explanation. Hint: Think about newton’s laws.
Answer:
im just so focused on the fact that im going to mars :O
Why would it be better to record larger forces when trying to determine the frictional coefficient between two objects?
Write a paragraph about the cartoon. Tell what he is trying to do. Will it work and why? What do you think will happen? Use the following words, static electricity, lightning, electrons, positive and negative charges.
Answer:
They are trying to jump-start a car using a kite and lightning connected to the battery. This will not work because there is no positive or negative charged side to the circuit.
Explanation:
What is the wavelength of a radar signal that has a frequency of 33 GHz?
Explanation:
For electromagnetic waves c = wavelength * frequency
c = speed of light = 3 x 10^8 m/ s
3 x 10^8 m/s = wl * 33 x 10^9 Hz
wl = .009 m ( or 9 mm)
If a radar signal that has a frequency of 33 GHz, Then the wavelength of the radar signal is 9 mm.
What is wavelength?Wavelength is a fundamental concept in the study of waves, which are disturbances that propagate through space or a medium. It is defined as the distance between two consecutive points in a wave that are in phase, meaning that they have the same position in their respective cycles.
In other words, the wavelength is the spatial period of a wave, which is the distance over which the wave repeats itself. It is commonly represented by the Greek letter lambda (λ) and is measured in meters (m), although it can also be expressed in other units such as nanometers (nm) or micrometers (μm).
Wavelength is a key property of waves, as it determines many of their characteristics and behavior. For example, the wavelength of an electromagnetic wave (such as light or radio waves) determines its color or frequency, and thus its energy and ability to interact with matter. Similarly, the wavelength of a sound wave determines its pitch, and thus its perceived tone and musical quality.
The relationship between wavelength, frequency, and velocity is described by the wave equation, which states that the velocity of a wave is equal to the product of its wavelength and frequency. This relationship is important for understanding how waves behave and interact with their environment, such as when they are reflected, refracted, or diffracted.
So, the wavelength is a crucial concept in the study of waves, as it defines their properties and behavior. It is the distance between two consecutive points in a wave that are in phase, and is measured in meters or other units. The relationship between wavelength, frequency, and velocity is described by the wave equation, which is fundamental to the study of waves in various fields such as physics, engineering, and communication.
Here in the Question,
The wavelength of a radar signal can be calculated using the formula:
wavelength = speed of light/frequency
where the speed of light is approximately 3 x 10^8 meters per second.
Plugging in the given frequency of 33 GHz (33 x 10^9 Hz), we get:
wavelength = 3 x 10^8 / (33 x 10^9)
wavelength = 0.009090909... meters
Therefore, By rounding to the nearest millimeter, the wavelength of the radar signal is approximately 9 mm.
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A positive force on the balance indicates a downward force on the silver sphere while a negative force on the balance indicates an upward force on the silver sphere.With that in mind, do the two spheres have like charges or opposite charges? Give your answer as a CER.
The two spheres have opposite charges.
What are types charge?A charge can be negatively charged or positively charged.When two charges have opposite signs, that is positive and negative signs, the two charges will attract each other.When the two charges have the same sign, it causes repulsion.When a positive charge points downwards ↓ and the negative charge points upwards ↑, this causes attraction and shows that the two charges are different.
Thus, we can conclude that the two spheres have opposite charges.
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Frequency= Wavelength = 502 km Speed= 100 m/s
Answer:
Explanation:
Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.
Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
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what do scientists compare to make sure they classify an organism correctly?
A: Other organisms
B:Taxonomic charts
C: DNA strands
D:Skeletons
Answer:
Explanation:
I think is B
When this surgical procedure is used to reduce the risk of stroke it will correct stenosis in the artery the most common cause of this condition is the buildup of plaque that forms in the artery name this procedure
Endarterectomy is used to reduce the risk of stroke and correct the stenosis in the artery.
What is carotid artery stenosis?The primary blood vessels that supply the brain with blood and oxygen are the carotid arteries.
The narrowing of these arteries is referred to as carotid artery disease. Carotid artery stenosis is another name for it. The main factor causing constriction is atherosclerosis.
This fat deposit reduces the blood flow to the brain which cause a stroke.
Carotid endarterectomy is a surgical treatment to remove plaque, an accumulation of fatty deposits that causes a carotid artery to become narrowed.
Hence, an Endarterectomy is used to reduce the risk of stroke, it will correct stenosis in the artery.
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With a current shunt, the current is obtained by measuring _____ across the current shunt and calculating using Ohm's Law
With a current shunt, the current is obtained by measuring voltage across the current shunt and calculating using Ohm's Law.
A current shunt is a device that is used to measure electric current. It is a small resistor placed in parallel with the load (or the element being measured), that creates a known small voltage drop proportional to the current flowing through it.
By measuring this voltage drop and using Ohm's law, the current flowing through the shunt (and the load) can be calculated. Current shunts are commonly used in high-current applications, such as in power plants, electrical distribution systems, and electric vehicles.
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With a current shunt, the current is obtained by measuring the voltage drop across the current shunt and calculating using Ohm’s Law. A current shunt is a device that creates a low-resistance path for electric current, to allow it to pass around another point in the circuit. In current measuring, shunts allow the measurement of high current values by placing a resistor of low, known resistance in parallel with a voltmeter.
A fisherman has caught a fish on his pole, and to keep the pole steady he has to apply an upward force of F2 = 235 N at an angle of 60.5° with respect to the pole (see figure). The length of his pole is 3.5 m, and he is holding it a distance 0.45 m from the end, where he is applying a downward force F1.
Randomized VariablesF2 = 235 N
θ = 60.5°
L = 3.5 m
d = 0.45 m
Since the length of his pole is 3.5 m, and he is holding it a distance 0.45 m from the end, so the downward force F₁ is 895.3 N.
What is the downward force about?To find the downward force F₁ that the fisherman is applying, we can use the principle of moments. This states that the sum of the moments (torques) about a point is equal to zero, which means that the sum of the forces acting on an object can be balanced by applying a single force at a different point on the object.
The moment of force F₂ about the point where the fisherman is holding the pole is given by:
Moment of F₂ = F₂ * L * sin(θ)
Where
F₂ = upward force (Force to lift object)
F₁= downward force
sin(θ) = constant
235 N * 3.5 m * sin(60.5°)
= 402.9 Nm
The moment of force F₁ about the same point is given by:
Moment of F₁ = F₁ * d = F₁ * 0.45 m
Setting the moments of F₁ and F₂ equal to each other and solving for F₁, we get:
F1 = (Moment of F₂) / d = (402.9 Nm) / (0.45 m) = 895.3 N
So the downward force that the fisherman is applying is approximately 895.3 N.
Therefore: This solution assumes that the forces are acting in a plane perpendicular to the ground, and that the pole is a uniform rod with no mass. In a more real situation, the forces acting on the pole may be more complex and may include additional components such as the weight of the pole itself, the friction between the pole and the fisherman's hands, and other factors.
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A machine has a velocity ratio of 5 and the efficiency is 80% what effort would be needed to lift a load of 200N
Explanation:
To determine the effort needed to lift a load of 200N, given a velocity ratio of 5 and an efficiency of 80%, we can use the formula:
Efficiency = (Output Work / Input Work) * 100
Efficiency can also be calculated as the ratio of the output force to the input force. In this case, the output force is the load being lifted (200N), and the input force is the effort required.
Given that the velocity ratio is 5, it means that for every 5 units of distance the effort moves, the load moves 1 unit of distance. This implies that the effort is exerted over a greater distance than the load.
Let's denote the effort force as "E" and the distance moved by the effort as "dE." Similarly, the load force is "L," and the distance moved by the load is "dL."
Using the velocity ratio, we have the following relationship:
dE / dL = 5
Now, we can calculate the input work (Wi) and the output work (Wo):
Input Work (Wi) = Effort (E) * Distance moved by the effort (dE)
Output Work (Wo) = Load (L) * Distance moved by the load (dL)
Given that the efficiency is 80%, we can rewrite the formula for efficiency as:
0.80 = (Wo / Wi) * 100
Now, let's solve for the effort (E) using the given values:
Load (L) = 200N
Efficiency = 0.80
Velocity Ratio = 5
First, calculate the output work (Wo):
Wo = Load (L) * Distance moved by the load (dL)
Since the velocity ratio is 5, the distance moved by the load (dL) will be 1/5 of the distance moved by the effort (dE):
dL = (1/5) * dE
Wo = L * (1/5) * dE
Wo = 200N * (1/5) * dE
Wo = 40N * dE
Next, calculate the input work (Wi):
Wi = Effort (E) * Distance moved by the effort (dE)
Wi = E * dE
Now, substitute the values into the efficiency formula:
0.80 = (Wo / Wi) * 100
0.80 = (40N * dE) / (E * dE) * 100
0.80 = 40 / E * 100
0.80 * E = 40
E = 40 / 0.80
E = 50N
Therefore, the effort needed to lift a load of 200N with a velocity ratio of 5 and an efficiency of 80% is 50N.
A 3500 kg van hits a 2500 kg car with a force of 1480 N [E].a) What force does the van experience?b) Calculate the acceleration of both vehicles after the collision.
Given
m1 = 3500 kg (van)
m2 = 2500 kg (car)
F = 1480 N
Procedure
a) In a collision between object 1 and object 2, the force exerted on object 1 (F1) is equal in magnitude and opposite in direction to the force exerted on object 2 (F2). In equation form:
\(F1=-F2\)The above statement is simply an application of Newton's third law of motion to the collision between objects 1 and 2.
b) Accelaration
\(\begin{gathered} F=ma \\ a=\frac{F}{m} \\ a=\frac{1480N}{3500+2500} \\ a=0.246\text{ m/s} \end{gathered}\)The acceleration would be 0.246 m/s
At a dam, the water surface has a height of 120 m above a turbine. The turbine uses 85% of the water's potential energy. If 1800 kg of water flows through the turbine per minute, how much power will come from the turbine?
Answer:
Et = 30018 [W]
Explanation:
To solve this problem we must use the definition of potential energy, which is expressed by the following equation:
\(E_{p} =m*g*h\)
where:
Ep = potencial energy [W]
g = gravity acceleration [m/s^2]
h = elevation = 120 [m]
m = mass flow = [1800/min]
But in order to get watts into potential energy, we must convert the mass flow from kilograms per minute to kilograms per second.
\(1800[\frac{kg}{min} ]*\frac{1}{60}\frac{min}{s}=30[\frac{kg}{s} ]\)
Ep = 30*9.81*120
Ep = 35316 [W]
If we use 85% of the potential energy will have:
Et = 35316*0.85
Et = 30018 [W]
Several motorboats with the same mass are used in an experiment. the forces of the different motors versus their accelerations are graphed. what is the y-intercept of this graph?
The y-intercept of a graph is the point at which the graph crosses the y-axis. In this case, the y-intercept of the graph showing the relationship between the motor's force and the boat's acceleration would represent the force required to produce zero acceleration.
In this scenario of the boats being used in an experiment, if the boats have the same mass and the motors are producing force, and the forces are graphed against the acceleration, this will give us a straight line, and the y-intercept of this graph will be the force required to keep the boat at a zero acceleration, this force is known as "friction force" which includes the friction force of the water and the friction force of the bearings in the motor and other mechanical parts in the boats and motor.
It's worth noting that, in practice, getting the y-intercept in this experiment might be very hard as it's very rare to get zero acceleration. Still, one can aim for the lowest possible acceleration, and the force measured can be considered as an approximation for the friction force.
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It’s a sunny Saturday afternoon and you are walking around the lake by your house, enjoying the last few days of summer. The sidewalk surrounding the perimeter of the circular lake is crowded with walkers and runners. You then notice a runner approaching you wearing a T-shirt with writing on it. You read the first two lines, but are unable to read the third line before he passes. You wonder, ”Hmmm, if he continues around the lake, I bet I’ll see him again but I should anticipate the time when we’ll pass again.” You look at your watch and it is 5:07pm. You estimate your walking speed at 3 m/s and the runner’s speed to be about 14 m/s. You also estimate that the diameter of the lake is about 2 miles. At what time should you expect to read the last line of the t-shirt?
The anticipated time when he will appear again is 5:17 pm
The given parameters;
your speed, \(V_a\) = 3 m/s
the runner's speed, \(V_b\) = 14 m/s
the diameter of the lake, d = 2 miles = 3218.69 meters
Let the anticipated time when he will appear again = tThe circumference of the lake is calculated as;
\(C = \pi d\\\\C = 3.142 \times 3218.69 = 10,113.12 \ m\)
Apply concept of relative velocity to determine the time, in which he will appear again.
By the time he appears again;
the distance you moved + distance he moved = circumference of the circle
\(V_at + V_bt = 10, 113.12\\\\(V_a + V_b)t = 10,113.12\\\\(3 + 14) t = 10,113.12\\\\17t = 10,113.12\\\\t = \frac{10,113.12}{17} \\\\t = 594.89 \ s = 9.92 \ \min \ \approx 10 \ \min\)
\(t\ \approx \ \ 5:17 \ pm\)
Thus, the anticipated time when he will appear again is 5:17 pm
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If a car travels 300 kilometers in 3 hours, its average speed is 100 km/hr.
O True
O False
Answer:
True
Explanation:
300/3=100km/hr
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Answer:
True
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