Part A
Your GPS shows that your friend’s house is 10.0 km away (Figure 2). But there is a big hill between your houses and you don’t want to bike there directly. You know your friend’s street is 6.0 km north of your street. How far do you have to ride before turning north to get to your friend’s house?
8 km
Part B
Referring to the diagram in Part A, what is the sine of the angle
θ at the location of the friend's house?
Answers
Answer:
Part A
You have to ride 8.0 km before turning north to get to your friend’s house.
Part B
The sine of the angle θ at the location of the friend's house is 0.8
Explanation:
The remaining part of the question which is an image is attached below
Explanation:
Part A
To determine how far you will ride ride before turning north,
From the diagram, that is the distance of your street.
Let the distance of your street be [tex]A[/tex]
and the distance of your friend's street be [tex]B[/tex]
and let the displacement between your friends house and your house be [tex]C[/tex]
The relation in the diagram shows a right angle triangle.
The sides of the right angle triangle are represented as [tex]A,B[/tex] and [tex]C[/tex].
To find [tex]A[/tex], which is the distance of your street,
From Pythagorean theorem, 'The square of hypotenuse is the sum of squares of the other two sides'
That is,
[tex]/Hypoyenuse/^{2} = /Adjacent/^{2} + /Opposite/^{2}[/tex]
[tex]C[/tex] is the hypotenuse, which is the displacement between your friends house and your house,
Hence, [tex]C = 10.0 km[/tex]
[tex]B[/tex] is adjacent, which is the distance of your friends street
then, [tex]B = 6.0 km[/tex]
and [tex]A[/tex] is the opposite, which is the distance of your house
From Pythagoras theorem, we can then write that,
[tex]C^{2} = B^{2} + A^{2}[/tex]
Then, [tex]10.0^{2} = 6.0^{2} + A^{2}[/tex]
[tex]A^{2} = 100.0 - 36.0\\A^{2} = 64.0\\A = \sqrt{64.0}[/tex]
[tex]A = 8.0km[/tex]
Hence, you have to ride 8.0 km before turning north to get to your friend’s house.
Part B
To find the sine of the angle θ at the location of the friend's house,
In the diagram, the sine of the angle θ is given by
[tex]Sin\theta = \frac{Opposite}{Hypotenuse}[/tex]
Hence, [tex]Sin\theta = \frac{A}{C}[/tex]
Then,
[tex]Sin\theta = \frac{8.0}{10}[/tex]
[tex]Sin\theta = 0.8[/tex]
Hence, the sine of the angle θ at the location of the friend's house is 0.8
A. The amount of distance you have to ride before turning North to get to your friend’s house is 8 kilometers.
B. The sine of the angle (θ) at the location of your friend's house is 0.8.
Let your friend's house be a.Let your friend's street be b.Let the distance between your house and your friend be c.Given the following data:
Distance c = 10 kmDistance a = 6 kmA. To determine the amount of distance you have to ride before turning North to get to your friend’s house, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula:
[tex]c^2 = a^2 + b^2\\\\10^2 =6^2+b^2\\\\100=36+b^2\\\\b^2 =100-36\\\\b^2 =64\\\\b=\sqrt{64}[/tex]
b = 8 kilometers
B. To find the sine of the angle (θ) at the location of the friend's house:
Mathematically, the sine of an angle is given by the formula:
[tex]Sin\theta = \frac{opposite}{hypotenuse}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Sin\theta = \frac{8}{10} \\\\Sin\theta = 0.8[/tex]
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Related Questions
Meter #1 can measure voltage to within 0.1 volts. Meter #2 can measure voltage to within 0.01 volts.
A.) Which meter has the greatest precision?
B.) Which meter is more accurate? Why?
Answers
Meter #2 is more precise.
There's no information here that tells us which meter is more accurate.
A stone is thrown vertically downward with an initial speed of 12.0 m/s from the top of a
building. The stone takes 1.54 s to reach the ground.
Answers
The question is incomplete; However, the height from which the stone is thrown is most likely to be what's required of the question
Answer:
See Explanation
Explanation:
Given
[tex]Initial\ Speed, u = 12.0m/s[/tex]
[tex]Time, t = 1.54\ s[/tex]
Required
Determine the height
This question will be answered using the following equation of motion;
[tex]S = ut + \frac{1}{2}gt^2[/tex]
Take g as 9.8
This gives:
[tex]S = 12 * 1.54 + \frac{1}{2} * 9.8 * 1.54^2[/tex]
[tex]S = 12 * 1.54 + \frac{1}{2} * 9.8 * 2.3716[/tex]
[tex]S = 18.48 + 11.62084[/tex]
[tex]S = 30.10084[/tex]
[tex]S = 30.1\ m[/tex] (Approximated)
Hence; Height = 30.1m
Q1. My brakes stop me at -5.5m/s^2 when I lock them up. A puppy runs in front of my car, and I stop just in time 3.5 seconds later. How far did I skid? Q2. I floor the pedal and accelerate from 7.0m/s to 35m/s over a fouth of a mile (0.40km). What is my accelleration?
please explain step by step, much thanks :)
Answers
Explanation:
Q1. Given:
v = 0 m/s
a = -5.5 m/s²
t = 3.5 s
Find: Δx
Δx = vt − ½ at²
Δx = (0 m/s) (3.5 s) − ½ (-5.5 m/s²) (3.5 s)²
Δx ≈ 33.7 m
Q2. Given:
Δx = 400 m
v₀ = 7.0 m/s
v = 35 m/s
Find: a
v² = v₀² + 2aΔx
(35 m/s)² = (7.0 m/s)² + 2a (400 m)
a = 1.47 m/s²
Juan, a biologist, notices that a particular group of hummingbirds leaves during the colder winter months and returns during the warmer spring months. Juan hypothesizes that the birds fly south to locations with warmer weather and blooming flowers during the winter months. Which procedure should Juan use to test his hypothesis?
Answers
Answer:
C. Tag the hummingbirds with transmitters and track their movement.
Explanation:
Hypothesis refers to the conclusion of the analysis found on the grounds of certain observations. The hypothesis is further tested and verified by performing certain experiments. In the given excerpt, Juan hypothesizes that certain group of hummingbirds fly to certain locations depending upon the season. To test the hypothesis, Juan can experiment with finding and tracking the hummingbirds and the direction in which they fly. Tagging the hummingbirds with transmitters and tracking their movement would help Juan concluding about the hypothesis.
Answer:
Tag the hummingbirds with transmitters and track their movement
Explanation:
What is the speed of an ocean wave if it’s wavelength is 5.0 m and it’s frequency is 3/s?
Answers
Answer:
15 m/s
Explanation:
We know that [tex]v = f * d[/tex] where f = frequency & d = wavelength .
So here.
Wavelength = 5 m
Frequency = 3 s⁻¹
Hence Speed = 5 * 3 = 15 m/s
What potential difference is required to produce a current of 0.5 A in a bulb of power 60 W
Answers
Answer:
ans is 120
Explanation:
I= 0.5 A
p= 60w
p=Iv
60/0.5
v= 120
Answer:
V=P/I
V=60/0.5
V=120
Explanaton:
the formula P=IV is converted to V=P/I to make V (voltage) the subject. then sub in the values to get your answer
note that potential difference is same as voltage
Describing Forms of Energy
Match each form of energy with its description.
nuclear energy
found when internal energy is
transferred
thermal energy
te
found in the nucleus of an atom
electrical energy
found in the flow of electrical charges
found in the bonds between atoms
chemical energy
Answers
Answer:
electrical energy-found in the flow of electrical charges
chemical energy-found in the bonds BTW atoms
thermal energy-found when internal energy is transferred
nuclear energy-found in the nucleus of an atom.
The correct match is: nuclear energy: found in the nucleus of an atom, thermal energy: found when internal energy is transferred, electrical energy: found in the flow of electrical charges, chemical energy: found in the bonds between atoms.
Nuclear energy: This type of energy is obtained from an atom's nucleus. It is released by processes such as nuclear fission or fusion, which utilise the energy held inside atomic nuclei.
Thermal energy is the energy associated with an object's or a system's temperature. When there is a temperature differential, it is a type of internal energy that is exchanged between objects.
Electrical energy is associated with the passage of electric charges, such as electrons, via a conductor.
Chemical energy is contained in the bonds that connect atoms and molecules. When these connections are broken or created, it is released or absorbed during chemical processes.
Thus, this can be the match for the given forms of energy.
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A car runs around a circular race track from the point A to diametrically opposite point B The radius of the circle is ‘r’ . The distance traveled by the car is ________ the displacement of the car is _________ show your work!
Answers
Answer:
Distance = πr
Displacement = 2r
Explanation:
First we need to find the distance covered by the car. As the car is travelling on a circular path and it traveled to a diametrically opposite point on the circular path. Therefore, the distance covered by the car must be the half value of the circumference.
Distance = Circumference/2
Distance = 2πr/2
Distance = πr
Since, displacement is the straight line distance between two points. So, the displacement in moving from a point to its diametrically opposite point must be equal to the diameter of circle:
Displacement = Diameter
Displacement = 2r
Summarize why psychology is considered a science.
Answers
because it uses a systematic method of asking and answering problems, and it attempts to develop solution to psychological problems.
Answer:
it uses a systematic method of asking and answering problems,
Explanation:
An object accelerates at 20 m/s2. By how much does the speed change in one second?
Answers
Explanation:
a= v/t
v= at
= 20m/s2 × 1sec
= 20m/s
What the answers due in 2 min
Answers
Hello ┬┴┬┴┤◕3◕)づ├┬┴┬┴
The answer is 3 m
the gap in between 4s and 6s is 5s
you follow your finger up to the purple like, and follow the purple line in a straight line to the left. It ends at 3m and that is your answer.
Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 23.7 m/s to each pellet. Gun A is fired straight upward, with the pellet going up and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the ground
Answers
Answer:
Ta - Tb = 4.84 sec (approx)
Explanation:
Time taken by A = Time taken By B + Extra time
Ta - Tb = T
We know that
Time (T) = [v-u] /a ...................[a=9.8 m/s²]
So,
Ta - Tb = [v-u] /a
Ta - Tb = [-23.7-23.7] /9.8
Ta - Tb = 4.8367 sec
Ta - Tb = 4.84 sec (approx)
sort the properties of metalloids into the correct categories
Answers
Boron
Sillicon
Germanium
Arsenic
Antimony
Tellurium
Pelorium
Metallic characteristics: lustrous, solid at room temperature
In-between characteristics: semiconducting, amphoteric
Nonmetallic: brittle
Two forces P and Q act on an object of mass 7.00 kg with Q being the larger of the two forces. When both forces are directed to the left, the magnitude of the acceleration of the object is 1.30 m/s2. However, when the force P is directed to the left and the force Q is directed to the right, the object has an acceleration of 0.600 m/s2 to the right. Find the magnitudes of the two forces P and Q in newtons.
Answers
Answer:
P = 2.45 N
Q = 6.65 N
Explanation:
According to Newton's 2nd Law:
Unbalanced Force = ma
where,
m = mass = 7 kg
a = acceleration
In the first case when both forces P and Q act on left side:
Unbalanced Force = P + Q
a = 1.3 m/s²
Therefore,
P + Q = (7 kg)(1.3 m/s²)
P + Q = 9.1 N ------------------------- equation 1
Now, in second case when both forces have different directions:
Unbalanced Force = Greater Force - Smaller Force
Unbalanced Force = Q - P
a = 0.6 m/s²
Therefore,
Q - P = (7 kg)(0.6 m/s²)
Q - P = 4.2 N ------------------- equation 2
Adding equation 1 and equation 2, we get:
(Q + P) + (Q - P) = 9.1 N + 4.2 N
2 Q = 13.3 N
Q = 6.65 N
Using this value in equation 2, we get:
6.65 N - P = 4.2 N
P = 2.45 N
Which has the fastest wave speed, a high frequency sound or a low frequency sound?
Answers
Answer:
high frequent sound
Explanation:
because if its low than its slower.
Each insulated beaker contains equal amounts of the same fluid. The starting temperature of beaker A was 100.0 degrees Celsius and the starting temperature of beaker B was 0 degrees Celsius. At 5 minutes, the temperature of Beaker A was 82 and the temperature of Beaker B was 18. Assuming no heat was lost, what is the best estimate for the temperature of each beaker at 10 minutes?
Answers
Answer:
Correct Answer: B. Beaker A will be 72 °C and beaker B will be 28 °C.
This one is actually right!
2. The components of vector A are given as follows:
Ax = 5.6 Ay = -4.7
What is the angle between vector A and positive direction of x-axis?
Answers
Answer:
50 degree.
Explanation:
Given that the components of vector A are given as follows: Ax = 5.6 Ay = -4.7
The angle between vector A and B in the positive direction of x-axis will be achieved by using the formula:
Tan Ø = Ay/Ax
Substitute Ay and Ax into the formula above.
Tan Ø = -4.7 / 5.6
Tan Ø = -0.839
Ø = tan^-1(-0. 839)
Ø = - 40 degree
Therefore, the angle between vector A and B positive direction of x-axis will be
90 - 40 = 50 degree.
Add these two velocity vectors to find the magnitude of their resultant vector. A. 4.6 meters/second B. 0.8 meters/second C. 2.2 meters/second D. 7.0 meters/second
Answers
The magnitude of the resultant vector is D, 7.0 meters/second, and the direction is to the left.
How to find magnitude?To add these two velocity vectors, find the magnitude and direction of each vector. The magnitude of the first vector is 5.8 meters/second, and the direction is to the right. The magnitude of the second vector is 1.2 meters/second, and the direction is to the left.
To find the magnitude of the resultant vector, add the magnitudes of the two vectors. The magnitude of the resultant vector is 5.8 meters/second + 1.2 meters/second = 7.0 meters/second.
To find the direction of the resultant vector, find the angle between the two vectors. The angle between the two vectors is 180 degrees. The direction of the resultant vector is 180 degrees from the first vector, which is to the left.
Therefore, the magnitude of the resultant vector is 7.0 meters/second, and the direction is to the left.
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Which statement illustrates how engineering has influences society
Answers
Answer:
I think C but I'm not sure
The statement that illustrates how engineering has influences society is nuclear power plants provide cheap electricity to power people's homes. The correct option is A.
This claim serves as an example of how engineering has impacted society. Because they offer a practical and economical source of electricity for lighting up homes and other infrastructure, nuclear power plants have had a big impact on society.
The ability to create electricity from the energy held in atoms thanks to improvements in nuclear technology has boosted the availability and affordability of power for users.
This illustrates how advances in engineering can influence and enhance how society fulfils its energy needs.
Thus, the correct option is A.
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The unit of the Power of a correction glass is the Diopter (D), As you know the Di ressed by means of a meter and thus we could express it as:
A. TC/(Ns)
B. Cv/N
C. J/N
D. None of above
where T- Tesla, v-volt, C-Coulomb, J-Joule
Answers
Answer:
reviewing the final answers the correct one is D none of the above
Explanation:
Diotria is highly used in ophthalmology and is related to distance by
P = 1 / f
where f is the focal length of the lens in meters
Therefore from the previous definition the unit of dioctry is the inverse of the meter
[P] = [1 / m]
when reviewing the final answers the correct one is D none of the above
How much power is needed to lift the 200-N object to a height of 10 m in 4 s?
Answers
Answer:
500 watts
Explanation:
Recall that the definition of power is the amount of energy delivered per unit of time.
In our case, the energy delivered is potential energy which we can estimate as the product of the weight of the object times the distance it is lifted above ground:
200 N x 10 m = 2000 Nm
then the power is the quotient of this potential energy divided the time it took to lift the object to that position:
Power = 2000 / 4 Nm/s = 500 Nm/s = 500 watts
You walk 10 meters to class in 20 seconds , your average speed is ___ ?
Answers
The average speed is 1/2 m/s.
To determine the answer, we need to know about average speed.
What is average speed?Distance covered by an object per unit time is known as average speed.
What is the mathematical formula of average speed?Mathematically, average speed= Total distance travelled/ total time taken
What is the average speed, if I walk 10 metes in 20s?Here, total distance travelled = 10m,
total time taken = 20s
Average speed = 10/20 = 1/2 m/s
Thus, we can conclude that the average speed is 1/2 m/s.
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In an emergency an airplane needs to land on a short runway at Albany County Airport. The plane comes in for a landing with a speed of 95 m/s. The planes maximum magnitude of acceleration is 7.07 m/s2 as it comes to a stop. (a) What is the minimum time interval needed for this plane to stop?
Answers
Answer:
t = 13.43 s
Explanation:
In order to find the minimum time required by the plane to stop, we will use the first equation of motion. The first equation of motion is written as follows:
Vf = Vi + at
where,
Vf = Final Velocity of the Plane = 0 m/s (Since, the plane finally stops)
Vi = Initial Velocity of the Plane = 95 m/s
a = deceleration of the plane = - 7.07 m/s²
t = minimum time interval needed to stop the plane = ?
Therefore,
0 m/s = 95 m/s + (- 7.07 m/s²)t
t = (95 m/s)/(7.07 m/s²)
t = 13.43 s
It is easier to open the lid of a can using a spoon why?
Answers
Answer:
It depends on how you use the spoon...
if you are keeping one end of the spoon and pressing other end, the force you provide is supported by the force due to gravity... Hence it is easy to open this way :)
F + G ... Where F is the force you provide and G is the force due to gravity.
Which of the following is the best description of a gaseous substance?
It's the result of a chemical reaction involving two or more elements.
It has no definite shape or volume and will expand indefinitely.
It holds its shape without outside restraint.
It has no shape of its own but has a definite volume.
Answers
The best description of a gaseous substance is : (B). It has no definite shape or volume and will expand indefinitely.
Meaning of a gaseous substanceA gaseous substance can be defined as a substance that is gaseous in nature or exhibit gaseous properties
A gaseous substance is just like a gas that its particles have unrestricted movement and the force of attraction between the particles are very weak or negligible.
In conclusion, The best description of a gaseous substance is : (B). It has no definite shape or volume and will expand indefinitely.
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Select the correct answer. As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned? A. negative values B. positive values C. fractional values D. letters
Answers
Answer:
A. Negative values
Explanation:
Answer:
A-negative values
Explanation:
As per the new modified method of classifying the magnitude of stars, what kind of values were the brightest stars assigned?
A.
negative values
B.
positive values
C.
fractional values
D.
letters
Use the exact values you enter to make later calculations. Jack and Jill are on two different floors of their high rise office building and looking out of their respective windows. Jack sees a flower pot go past his window ledge and Jill sees the same pot go past her window ledge a little while later. The time between the two observed events was 4.0 s. Assume air resistance is negligible. (a) If the speed of the pot as it passes Jill's window is 60.0 m/s, what was its speed when Jack saw it go by
Answers
The part B of the question is missing and it is;
b) What is the height between the two window ledges?
Answer:
A) 20.76 m/s
B) 161.52 m
Explanation:
A) To calculate the initial speed we use the formula from Newton's first law of motion:
v = u + at
Making u the subject gives;
u = v - at
Where;
v is the final velocity which is the speed when Jill sees the pot = 60 m/s
u is the initial velocity which is the speed when Jack sees the pot go by
t is the time between the two observed events = 4 s
a in this question is acceleration due to gravity = 9.81 m/s².
Plugging in the relevant values into the initial velocity equation gives;
u = 60 - (9.81 × 4)
u = 20.76 m/s
B) To get the height difference, we will use the formula;
(y1 - y0) = ut + ½at²
Thus, plugging in the relevant values, we have;
y1 - y0 = (20.76 × 4) + (½ × 9.81 × 4²)
(y1 - y0) = 161.52 m
Thermal effects refers to the:
Answers
Answer:
removal of heat by cooling towers
The group that receives treatment is called the?
Tested Group
Control Group
Placebo Group
Experimental Group
Answers
Answer:
experimental group
Explanation:
please mark me as a brainlist..
Answer:
Experemtial group
Explanation:
The placebo is just sugar pills tested is ones already done and control is a mix of the two
does potential thermal energy affect the temperature of an object?
Answers
Answer:
Yes, it does
Explanation:
There are not many explanations, but when thermal energy is shined on an object it usually starts to heat up.