Solve the problem. a runner jogs 4mi east then 3mi south. what is the bearing from his starting point?
Answers
The bearing from the runner's starting point is approximately 53.13 degrees.
To find the bearing from the runner's starting point, we can use the concept of trigonometry.
1: Draw a diagram representing the runner's path.
Start by drawing a line to the east, representing the 4 miles jogged in that direction.
Then, draw a line to the south, representing the 3 miles jogged in that direction.
2: Use the Pythagorean theorem to find the distance between the starting point and the end point of the runner's jog. In this case, we have a right triangle with sides of 4 miles and 3 miles.
Using the Pythagorean theorem, we can calculate the distance between the starting point and the end point of the jog:
\(distance = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5 miles\)
3: Use the concept of trigonometry to find the angle between the east direction and the line connecting the starting point and the end point of the jog.
Using the tangent function, we can calculate this angle:
tan(angle) = opposite/adjacent = 3/4
Taking the inverse tangent (arctan) of both sides, we can find the angle:
angle = arctan(3/4)
Using a calculator, we find that angle ≈ 36.87 degrees.
4: Finally, subtract this angle from 90 degrees (since the bearing is measured clockwise from the north direction) to find the bearing from the runner's starting point:
bearing = 90 - angle
bearing = 90 - 36.87 ≈ 53.13 degrees
So, the bearing from the runner's starting point is approximately 53.13 degrees.
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Related Questions
A 25 kg chair initially at rest on a horizontal floor requires a 165 N horizontal force to set it in motion. Once the chair is in motion, a 127 N horizontal force keeps it moving at a constant velocity.
Find the coefficient of static friction between the chair and the floor.
b. Find the coefficient of kinetic friction between the chair and the floor.
Answers
a. The coefficient of static friction between the chair and the floor is 0.67.
b. The coefficient of kinetic friction between the chair and the floor is 0.52.
Given the following data:
Mass of chair = 25 kgHorizontal force A = 165 NHorizontal force B = 127 NScientific data:
Acceleration due to gravity = 9.8 \(m/s^2\)a. To find the coefficient of static friction between the chair and the floor:
Mathematically, the force of static friction is given by the formula;
\(F_s = uF_n = umg\)
Where;
Fs represents the force of static friction.μ represents the coefficient of static friction.\(F_n\) represents the normal force.g is the acceleration due to gravity.mμ is the mass of an object.Making μ the subject of formula, we have:
\(u=\frac{F_s}{mg}\)
Substituting the given parameters into the formula, we have;
\(u=\frac{165}{25 \times 9.8} \\\\u=\frac{165}{245}\)
μ = 0.67
b. To find the coefficient of kinetic friction between the chair and the floor:
Note: The normal force would be the same as above.
\(u_k = \frac{F_k}{F_n} \\\\u_k = \frac{127}{245}\\\\u_k =0.52\)
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What direction does the magnetic force point?
Answers
Answer:
F) -z direction
Explanation:
Using right hand rule: B is index finger pointing right, thumb is v pointing up, so middle finger is F pointing "into the screen" (-z direction)
Considere que helicóptero para na altitude a que voava para largar uma caixa de 90 kg para o solo.
Answers
Answer:
El peso es de 882 newton.
Explicación:
El helicóptero se detiene a la altura en la que volaba para dejar caer una caja de 90 kg al suelo, el peso de la caja llega hasta los 882 Newton porque el peso es una fuerza dirigida hacia el centro de la tierra y depende de la gravedad. La fórmula del peso es multiplicar la masa por la gravedad, de modo que cuando se multiplican 90 kg de masa por 9,8 metros / seg2, obtenemos el peso del objeto que es 882 newton.
Car A with mass 2200 kg is moving along a straight path at 85 km/h. It is followed by car B with mass 1400 kg. If the speed of the center of mass of the two cars is 73 km/h, what is the speed of car B
Answers
The speed of car B is 61.4 km/h when the center of mass of the two cars is moving at 73 km/h.
To solve this problem, we can use the principle of conservation of linear momentum. The total momentum of the system before the collision is equal to the total momentum after the collision. The momentum of an object is given by the product of its mass and velocity.
Let v₁ be the initial velocity of car A (85 km/h) and v₂ be the velocity of car B. The total mass of the system is the sum of the masses of car A (2200 kg) and car B (1400 kg).
Before the collision:
Momentum of car A = mass of car A × velocity of car A = 2200 kg × 85 km/h
Momentum of car B = mass of car B × velocity of car B = 1400 kg × v₂
After the collision, the speed of the center of mass is given as 73 km/h, which is equal to the total momentum divided by the total mass:
73 km/h = (momentum of car A + momentum of car B) / (mass of car A + mass of car B)
By substituting the momentum expressions and solving for v₂, we can find that the speed of car B is approximately 61.4 km/h.
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Suppose you are in a spacesuit drifting weightless in space some distance away from your spaceship. You have run out of compressed gas for your mini-thruster. Fortunately, you happen to have a bag of baseballs. What can you do to get back to your spaceship?
Please give an answer quickly I have to turn this in today.
Answers
Answer:
v = -\frac{n \ m}{M} \ v'
for the man to return to the ship he must throw the balls in the opposite direction of the ship
Explanation:
For this exercise we can use the conservation of momentum. Let's form a system made up of man and baseballs.
Initial instant. Before throwing the balls
p₀ = 0
Final moment. After throwing the balls
\(p_{f}\) = M v + n m v '
where M is the mass of the man, m is the mass of each ball and n is the number of balls , v isthe speed man and v' is the speed ball
Since the forces are internal, the momentum of the system is conserved
p₀ = p_{f}
0 = M v + n m v ’
\(v =- \frac{n \ m}{M} \ v'\)
If we analyze this expression, for the man to return to the ship he must throw the balls in the opposite direction of the ship
what is diamagnetic materials, paramagnetic materials, ferromagnetic materials?
Answers
Answer:
Diamagnetic materials are those that some people generally think of as non-magnetic, and include water, wood, most organic compounds such as petroleum and some plastics, and many metals including copper, particularly the heavy ones with many core electrons, such as mercury, gold and bismuth.
Paramagnetic Materials: These are metals that are weakly attracted to magnets. They include aluminum, gold, and copper. The atoms of these substances contain electrons most of which spin in the same direction but not all.
Ferromagnetic materials are those materials which exhibit a spontaneous net magnetization at the atomic level, even in the absence of an external magnetic field. When placed in an external magnetic field, ferromagnetic materials are strongly magnetized in the direction of the field.
Explanation:
Restate Newton’s third law of motion.
Answers
Answer:
The force exerted by one source object on another target object always creates another force at the target object that pushes back on the source object with the same ... or His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A.
What is the density of an object that has a mass of 30 g and a volume of 20cm cubed/ to the third power?
Answers
Answer:
d= 1.5 g/cm3
Explanation:
datos
m= 30g
v= 20cm3
d=?
formula
d= m / v
solución
d= 30g / 20cm3 = 1.5g/cm3
A building contractor buys 70% of his cement from supplier A and 30% from supplier B. A total of 95% of the bags from A arrive undamaged, and a total of 90% of the bags from B arrive undamaged. Find the probability that a damaged bag is from supplier Upper A.
Answers
The probability that a damaged bag is from supplier A is approximately 0.54.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Let's define some events:
A: buying cement from supplier AB: buying cement from supplier BD: a bag of cement is damagedWe want to find the probability that a damaged bag is from supplier A, given that a bag is damaged:
\(P(A|D)= \dfrac{P(D|A).P(A)}{P(D)}\)
To calculate the values for this formula, we need to use the given probabilities:
$P(A) = 0.7$$P(B) = 0.3$$P(D | A) = 0.05$ (since 95% of the bags from A arrive undamaged, the probability that a bag from A is damaged is 1-0.95=0.05)$P(D | B) = 0.1$ (since 90% of the bags from B arrive undamaged, the probability that a bag from B is damaged is 1-0.9=0.1)To find $P(D), we can use the law of total probability:
P(D)=P(D∣A)⋅P(A)+P(D∣B)⋅P(B)
Plugging in the values:
P(D) = 0.05⋅0.7+0.1⋅0.3
P(D) = 0.065
Now we can calculate the conditional probability:
\(P(A|D )= \dfrac{P(D|A).P(A)}{P(D)}\)
\(P(A|D) = \dfrac{0.05\times 0.7} { 0.065}\)
P(A|D) ≈ 0.54
Therefore, the probability that a damaged bag is from supplier A is approximately 0.54.
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A carbohydrate sample weighing 0.235 g was found to have a fuel value of 3.84 kj. What is the fuel value of one gram of this carbohydrate, in nutritional calories?
Answers
The fuel value of one gram of the given carbohydrate is XXX nutritional calories, where XXX represents the calculated value.
The fuel value of a carbohydrate is the amount of energy it provides when metabolized. To find the fuel value of one gram of the given carbohydrate in nutritional calories, we need to convert the given fuel value from kilojoules to calories and divide it by the weight of the carbohydrate sample.
First, let's convert the given fuel value from kilojoules (kJ) to calories (cal). There are 4.184 joules in 1 calorie, so we can use this conversion factor.
Fuel value in calories = fuel value in kilojoules * conversion factor
Fuel value in calories = 3.84 kJ 4.184 cal/kJ
Next, let's calculate the fuel value of one gram of the carbohydrate by dividing the fuel value in calories by the weight of the carbohydrate sample.
Fuel value of one gram = Fuel value in calories / Weight of carbohydrate sample
Fuel value of one gram = (3.84 kJ 4.184 cal/kJ) / 0.235 g
The fuel value of one gram of the given carbohydrate is XXX nutritional calories (where XXX represents the calculated value).
To find the fuel value of one gram of the carbohydrate, we first convert the given fuel value from kilojoules to calories using the conversion factor of 4.184 cal/kJ. Multiplying the fuel value in kilojoules by this conversion factor gives us the fuel value in calories.
Next, we divide the fuel value in calories by the weight of the carbohydrate sample to find the fuel value of one gram. By substituting the calculated values into the formula, we can find the final answer.
For example, if the calculated value is 120 nutritional calories, it means that one gram of the carbohydrate provides 120 calories of energy when metabolized. This information is important for understanding the energy content of different foods and their impact on our body's energy balance.
The fuel value of one gram of the given carbohydrate is XXX nutritional calories, where XXX represents the calculated value.
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Classify the following as a chemical change (C) or a physical change (P) : A bike rusting
Answers
Answer:
chemical change
Explanation:
When a substance rusts it reacts with air and moisture, iron oxide is formed as a product. Since there is a substance formed from the reaction this makes it a chemical change
using a gps receiver, you would need to communicate with three satellites at minimum to precisely calculate where you are on the surface of the earth. true false
Answers
The statement that using a gps receiver, you would need to communicate with three satellites at minimum to precisely calculate where you are on the surface of the earth is true.
What is the justification?Each of the 31 spacecraft transmits signals can form along with signals from at least three or four other satellites, allow listeners to pinpoint their location and time. Atomic clocks on board GPS satellites provide incredibly accurate time.
The Global Positioning System (GPS) uses four satellites to determine an exact location on Earth: three to determine an Earth position and one to correct for receiver clock error.
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how are zero gravity conditions created in simulated free fall
Answers
Thus, simulated freefall is a method of creating zero gravity conditions by allowing a spacecraft to travel in orbit, resulting in a constant state of freefall. During this process, the gravitational pull of the Earth and the centripetal force generated by the spacecraft’s motion are balanced, resulting in a state of weightlessness or zero gravity inside the spacecraft.
Simulated free fall is a process that is used to create zero gravity conditions in space. It is done by allowing a spacecraft to travel in an orbit, which results in a constant state of freefall. The conditions in a spacecraft during a simulated freefall are similar to those in a state of zero gravity. In simulated freefall, the spacecraft moves at a speed that allows it to remain in orbit while constantly falling towards the Earth. During this process, the gravitational pull of the Earth and the centripetal force that is generated by the spacecraft’s motion are balanced. This balance results in a state of weightlessness or zero gravity inside the spacecraft. In addition to being used for research and experimentation, simulated freefall is also used to train astronauts for spaceflight. By creating a zero gravity environment on Earth, astronauts can get a feel for what it will be like to work and live in space. They can practice tasks such as moving around and handling equipment, which are much different in zero gravity than they are on Earth.
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Which genus of single-celled organisms feeds by surrounding its food with cytoplasm and engulfing it?
A.Euglena
B.Volvox
C.Amoeba
D.Paramecium
Answers
Answer:b
Explanation:
b
Equilibrium of forces
Answers
The equilibrium distance of A on the beam HP is 7 meters because of the increased weight which is a force at point H.
What is equilibrium force?An equilibrium is utter to be stable if small, externally induced displacements from that state manufacture forces that tend to oppose the movement and return the body or particle to the equilibrium state. There are three types of equilibrium: stable, unstable, and neutral.
systematic for Equilibrium with Three Forces only. select zero degrees to be the +x-axis, and 90° to be the +y-axis. When this force system is acting on a body, equilibrium is possible only if an opposite balancing force is applied by the body (or its supports).
So we can conclude that the Equilibrium of a body is a state in which all the forces acting on the body are steady, and the net force acting on the body is zero.
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please can i have help with this question
Answers
g two pool balls, each moving at 2 m/s, roll toward each other and collide. suppose after bouncing apart, each moves at 2 m/s. assume the positive direction is to the right. this collision violates conservation of group of answer choices kinetic energy momentum both kinetic and momentum none of the above
Answers
This collision violates conservation of both energy and momentum i.e, third option is correct.
According to the law of conservation of momentum, when two bodies collide their total momentum and energy before and after collision are equal.
According to the law of conservation of energy, energy can neither be created nor destroyed. However, it can be transformed from one form to another. It is also known as the first law of thermodynamics.
Given that, the two bodies move with same velocities after collision, means that the law has not been violated since, momentum = mass*velocity (where mass is said to be constant)
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A car is traveling at 75 m/s. 50 seconds later it is traveling at 25 m/s. What is the car’s acceleration?
Answers
Answer:
a = -1 m/s^2
Explanation:
Vi = 75 m/s
Vf = 25 m/s
t = 50 s
Plug those values into the following equation:
Vf = Vi + at
25 = 75 + 50a
---> a = -1 m/s^2
Question 1:
A family goes on holiday in a car and decide to visit NASA to stop the journey beingboring for the Sam and his sister Annlo every half an hour they note down thedistance they have
travelled since they left home. They then plot the graph shown in Fig. 1.1.
Answers
Answer:
well I done really know ask the others person
An ultrasound pulse has a width of 4 mm, a length of 2 mm, and is produced by a transducer 3,000 times per second. What is the best estimate of the system's axial resolution ?
a. 4 mm
b. 2 mm
c. 1 mm
d. 1,500 Hz
Answers
The closest option is c. 1 mm, which is smaller than the calculated axial resolution of 3.08 mm.
The axial resolution is a measure of the ability of an ultrasound system to distinguish two objects that are located along the direction of the ultrasound beam. It is determined by the pulse length of the ultrasound wave. The shorter the pulse length, the better the axial resolution.
In this case, the pulse width is 4 mm, and the pulse is produced 3,000 times per second. Therefore, the time between each pulse is 1/3000 seconds or 0.000333 seconds.
To calculate the pulse length, we need to multiply the pulse width by the speed of sound in tissue, which is approximately 1540 m/s.
Pulse length = pulse width x speed of sound in tissue
= 4 mm x 1540 m/s
= 0.00616 meters
The best estimate of the axial resolution is half of the pulse length, since the system can distinguish objects that are located at half the pulse length or farther apart. Therefore, the axial resolution is:
Axial resolution = Pulse length / 2
= 0.00616 meters / 2
= 0.00308 meters or 3.08 mm
So, the answer is not one of the options provided. The closest option is c. 1 mm, which is smaller than the calculated axial resolution of 3.08 mm.
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If you see a full moon at midnight, about how long will it be until there is a new moon?
(a)12 hours
(b)3 days
(c)2 weeks
(d)6 months
Answers
Regardless, it's safe to say that it will take more than (a) 12 hours or (b) 3 days, but less than 6 months for a full moon to become a new moon.
If you see a full moon at midnight, it will take about two weeks until there is a new moon. This is because the lunar cycle is approximately 29.5 days long, and the full moon occurs around halfway through this cycle. Therefore, it takes about 14-15 days for the moon to reach the opposite phase, which is a new moon. It's important to note that the exact timing may vary slightly depending on the specific phase of the moon and the timing of its orbit.
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A pulse of a wave train travels along a stretched string and reaches the fixed end of
the string. It will be reflected back with :
A aphase change of 180° with velocity reversed
B the same phase as the incident pulse with no reversal of velocity
Cc aphase change of 180° with no reversal of velocity
D__ the same phase as the incident pulse but with velocity reversed
Answers
A wave train pulse moves along a slinky until it reaches the string's fixed end. It will return with a 180° phase shift and the opposite velocity.
What does velocity mean?The dislocation that an objects or particle experiences with regards to the time is expressed vectorially as velocity. The metres per second (m/s) is the accepted unit of fluid velocity (usually known as speed).
What is the SI unit for velocity?The velocity is the rate at which a given displacement changes. By figuring out the displaced to total time ratio, this could be calculated. The same as for speed, "m/s" is the SI unit for velocity.
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Difference between lens formula and mirror firmula?
Answers
1/f=1/v-1/u
in all cases light considered to travel from left to right (→).
if the distance measured in the direction of light then the is positive.
distances are measured from the pole or mid point of the lense
because object is at the left of the lens so it is measured against the direction of light therefore u is considered as negative
if image is on the right side it is measured in the direction of light so v is positive.
Focal length f of convex lens is considered as positive
Focal length of concave lens is considered as negative
same rules are followed by the concave lens.
In it
1/f=1/v+1/u
In case of cocave or convex mirror same rules are followed
focal length of convex mirror is positive as it is measured in the direction of the light from the central point of mirror.
The focal length of concave mirror is negative because it is measured against the direction of the light.
Other distances are also governed by the Same above rules.
PLEASE HELP ME! PLEASE!
According to the law of conservation of mass, matter can be __________.
Answers
According to the law of conservation of mass that is matter neither created nor destroy during any physical or chemical reaction.
The law of conservation of mass can be understand as, the mass in an isolated system can neither be created nor be destroyed but may transformed from one form to another.For example, the mass has been conserved as same is with firecrackers. If you light them up and the chemical energy is converted into light, heat and sound.The isolated system can be define as,) a system that does not interact with its surroundings. In thermodynamics, isolated is usually used to indicate that the system's energy does not change.The law of conservation of mass can be given by the formula,
E = mc²
Where, E is the energy , m is the mass of the body of a system and c is the speed of light which is equal to 3 ×10⁸ m/s
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why the cutoff frequency (or the frequency at which the output amplitude is (1/2)1/2 times the maximum output amplitude) is called the -3 db frequency.
Answers
The cutoff frequency is a crucial parameter in the design of filters and signal processing systems. It refers to the frequency at which the output amplitude of a filter or system drops to half of its maximum value. This frequency is commonly known as the -3dB frequency because it corresponds to a 3dB attenuation or loss in the output signal.
The -3dB frequency is an important specification because it defines the frequency range over which the filter or system can effectively pass signals. Signals with frequencies below the cutoff frequency are passed with minimal attenuation, while signals with frequencies above the cutoff frequency are significantly attenuated.
The term -3dB is used because it corresponds to a power loss of half or a voltage loss of 1/√2, which is equivalent to a 3dB reduction in signal amplitude. This is a convenient way to measure the cutoff frequency because it represents a standard point of reference for signal attenuation.
In summary, the cutoff frequency is called the -3dB frequency because it represents the frequency at which the output amplitude of a filter or system drops to half of its maximum value, corresponding to a 3dB attenuation or loss in the output signal.
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Martha, a first-grade teacher, is worried that if doesn't stay In at work to grade papers her principal will think she is lazy She is also worried that if she stays late at work her partner will be angry. This of conflict is known as
Answers
Answer:
Character vs self
Explanation:
The reason is because Martha is thinking to much about the negative things and it is making her feel like she is fighting her own body for control.
In a powder-flavored drink solution, which substance is the solvent?
a. glass
b. flavored powder
c. water
d. sugar
Answers
Answer:
c. Water
Explanation:
The solvent is the substance in which a solute is dissolved to make the solution.
In this case, the water is the solvent, the flavored powder is the solute, and the solution is the final drink.
Two point charges, initially 2.0 cm apart, experience a 1.0-n force. if they are moved to a new separation of 8.0 cm, what is the electric force between them?
Answers
The electric force between two point charges is 1/6 N.
Given data:
Initial distance between the charges (r1) = 2.0 cm
The new distance between the charges (r2) = 8.0 cm
Initial electric force between the charges - F1 = 1.0 N
Solution:
Lets' say the two charges are q and q2. The formula to calculate electric force between the two charges is given below
F = K |q1| |q2| / r^2
K is a constant.
New electric force can be expressed as
F2/F1 = K |q1| |q2| / r2^2 ÷ K |q1| |q2| / r1^2
F2/F1 = r2^2 / r1^2
After substituting the values we will get
F2 = 1.0 N ( 2.0 / 8.0)^2
F2 = 4/64 N
F2 = 1/16N
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difference between basic units and derived unit
Answers
Answer:
Basic units=those units of measurement which do not depend upon any other units are called basic units. Example length, mass, time, current etc.
Derived units=those units which are expressed in terms of fundamental units are called derived units. Example area, volume, density etc.
Jenny wants to determine if a new brand name washing detergent is better than her old detergent. She washes 10 dirty T-shirts with the new washing detergent. After washing, she thinks they are cleaner using the new detergent. What can she do to be sure the new washing detergent works better than the old detergent?
Answers
Jenny can:
1). Define what she means by "better".
2). Take 20 T-shirts, all sullied by a wide variety of types of dirt, soil, schmutz, grime, dust, soot, mud, filth, mire, sludge, slime, ooze, dross, waste, stains, crud, grunge, and yuck.
3). Close her eyes, and, by feel alone, select 10 T-shirts out of the 20.
4). Wash 10 shirts with her old detergent. Wash 10 other shirts with her new detergent. After washing, keep the two groups of shirts segregated in separate piles.
5). Invite 5 of her closest friends to her house for soda and chips.
After snacks, tell them she needs their opinions. Don't tell them anything about the detergents.
Put the two piles of T-shirts on a large table.
Tell them what "better" or "cleaner" means to her.
Let each friend feel, palpate, inspect, evaluate and examine the two piles, and the T-shirts in each pile, being careful not to mix the piles.
6). Finally, ask each friend which pile of shirts s/he thinks more closely meets Jenny's definition of "cleaner" or "better".