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 1

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

Part AYour GPS Shows That Your Friends House Is 10.0 Km Away (Figure 2). But There Is A Big Hill Between
Answer 2

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 km

A. 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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Part AYour GPS Shows That Your Friends House Is 10.0 Km Away (Figure 2). But There Is A Big Hill Between

Related Questions

What is the magnitude of the thrust force before the cart is released?Express your answer in newtons using three significant figures.

Answers

Answer:

Hello your question is incomplete below are missing parts

In this video, a small cart that has a mass of 600 grams rests on a table top. There is a fan on top of the cart, blowing air backwards at a steady rate. A stretched spring is attached to the back of the cart by a string, holding it in place. A scale, marked off in newtons, is positioned next to the spring and a small dot at the end of the spring indicates the magnitude of the spring force. The spring and scale together is called a “dynamometer.” Before the cart is released from the spring, the dynamometer reads approximately 1.9 newtons. The video is recorded at 60 frames per second, resulting in playback motion 2 times slower than normal. A frame counter indicates the current frame. A horizontal distance scale, marked off in centimeters, is also shown on the video. While the cart is at rest, the front edge of the front wheel is at the zero of the scale.

At frame 245, the string that attaches the cart to the spring is cut, releasing the cart, and it begins to roll forward. Using the distance scale, the position of the front edge of the front wheel can be tracked with

time. The following table indicates the position at different frames.

Frame            Position (cm)

245                  0.0

251                   1.9

257                  6.0

263                  13.9

269                  24.6

275                 38.4

281                  55.1

287                 75.0

Answer : 1.9 N

Explanation:

The magnitude of the thrust force before the cart is released can be calculated as :

60 fbs = 1 frame = 1/60 secs

therefore 6 frames = 1 / 10 secs

F fam = F spring = 1.9 N

Note: F thrust = F fam = 1.9 N

Problem 1: If a car is traveling at a speed of 28.0 m/s,
is it exceeding the speed limit of 55.0 mi/h?

Answers

Answer:

Yes, see explanation.

Explanation:

Hello,

In this case, considering that 1 hour equals 3600 seconds and 1 mile equals 1609.34 meters, the speed at which the car is moving is:

[tex]28.0\frac{m}{s} *\frac{1mi}{1609.34m}*\frac{3600s}{1h} \\ \\=62.63\frac{mi}{h}[/tex]

Thus, since the speed is greater than the limit we conclude it is exceeding the speed limit.

Regards.

If you were told an atom was an ion, you would know the atom must have a ______?
O Neutral Charge
O Charge
O Negative Charge
O Positive Charge

(This is due Tonight, so please help me ASAP!!!)​

Answers

Answer:

charge

Explanation:

7r0I and its etc. ,"!×_/;

iv. When you use a hand pump to inflate the tires of your bicycle, the pump gets warm after a while. Why? What happens to the temperature of the air in the pump as you compress it? Why does this happen? When you raise the pump handle to draw outside air into the pump, what happens to the temperature of the air taken in? Again, why does this happen?reason

Answers

Answer:

The temperature rises because for a given volume of gas, a rise pressure of the gas in pressure results in a proportionate rise in the temperature of the gas

Similarly when the handle is raised to draw air causes a fall in pressure that results in proportionate fall in temperature, for a given volume of gas

Explanation:

From Gay-Lussac's law, states that the pressure of a given mass of gas is directly proportional to its Kelvin temperature, provided that the volume is held constant

Mathematically, the law states that Pressure ∝  Temperature, at constant Volume

Therefore;

P₁/T₁ = P₂/T₂

Similarly, by kinetic theory of gases, we have;

The

[tex]P = \dfrac{n \cdot MW \cdot v_{rms}^2}{3 \cdot V}[/tex]

[tex]v_{rms} = \sqrt{\dfrac{3 \cdot R \cdot T}{MW} }[/tex]

Therefore, as in order for the hand pump to inflate the bicycle tires, the air in the pump has to be compressed to force it into the tire, thereby increasing the pressure, of the air in a given volume of the pump which results in the raising of the temperature of the air in the pump, which raises the temperature of the wall of the pump.

The temperature of the air in the pump also falls as the pressure in the pump is reduced by raising the pump handle, to reduce the air pressure inside the pump and and allow air to be taken into the pump.

According to Newton's second law, what is the acceleration of the released cart?

Answers

When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car.

QUICK

a sound wave has a frequency of 85 Hz and a wavelength of 4.2 m. what is the wave speed of the sound wave?

A. 357 seconds

B. 89.2 m/s

C. 357 m/s

D. 20 m/s

Answers

Answer:C

Explanation:

I did the test

a sound wave has a frequency of 85 Hz and a wavelength of 4.2 m. Then the wave speed of the sound wave is 20.23 m/s.  Hence option D is correct.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase. Phase is the position of a wave at a point at time t on a waveform. There are two types of the wave longitudinal wave and transverse wave.

The wave speed is given by,

c = νλ

where λ is wavelength, ν is frequency.

Given,

frequency ν = 85 Hz

wavelength λ = 4.2 m

The speed of the wave,

c = 85 × 4.2 = 20.23 m/s

Hence option D is correct.

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The diagram below shows a star map. Which position would a planet most likely be at? A, B, C, or D?

Answers

I think c but I’m not sure so don’t use mine

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

Direction of propagation of light is:________a. in all directions irrespective of polarization b. parallel to the polarization c. perpendicular to the polarization d. not dependent on polarization

Answers

Answer:

Perpendicular to the polarization

Explanation:

In this question, we are interested in selecting the option that best complete the question.

The direction of propagation of light is perpendicular to the polarization. Polarized and unpolarized light behave in different manners.

In unpolarized light, the oscillation of the magnetic and electric occurs in all directions to the propagated light.

However, in the case of polarized light, there is a restriction of the electric field oscillation. And thus, it only oscillates in a direction which is perpendicular to the propagation light

Complete the sentence with the word "element" or "compound." O is a(n) and H2O2 is a(n)

Answers

Answer:

O is an element whilst H2O2 is a compound.

Explanation:

O is an element. You can find it on the periodic table. H2O2 is composed of both H and O. Thus, H2O2 is a compound.

The O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

What is element?

All facets of a species of atoms with a specific count of protons in its nuclei are referred to as chemical elements, such as the pure substance made exclusively of the that species.

What is compound?

A compound comprises a substance created by the chemical fusion of two or more components.

Therefore, the O is a(n) element and [tex]H_{2} O_{2}[/tex] is a(n) compound.

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The current in an electric hair dryer is 12A. How many electrons flow through the hair dryer in 5.2 min ?

Answers

"Ampere" means 1 coulomb of charge every second.

12A means 12 coulombs of charge every second.

5.2 minutes = (5.2) x (60 seconds) = 312 seconds

12A for 312 seconds means (12) x (312)  = 3,744 coulombs of charge

1 coulomb is the amount of charge carried by 6.24 x 10¹⁸ electrons .

So 12A for 312 seconds means (3,744) x (6.24 x 10¹⁸) electrons.

That's  2.336 x 10²² electrons .

or  23,360,000,000,000,000,000,000 electrons .

(rounded to the nearest 10 quintillion).  

What is the net force acting on the box?
0 285 N
0 185 N
SN
0 85 N
0 65 N

Answers

Answer:

the answer would be D 65N

Explanation:

just got it correct on EDG

The hot reservoir for a Carnot engine has a temperature of 889 K, while the cold reservoir has a temperature of 657 K. The heat input for this engine is 4710 J. The 657-K reservoir also serves as the hot reservoir for a second Carnot engine. This second engine uses the rejected heat of the first engine as input and extracts additional work from it. The rejected heat from the second engine goes into a reservoir that has a temperature of 406 K. Find the total work delivered by the two engines.

Answers

Answer:

Explanation:

Efficiency of first engine

= T₁ - T₂ / T₁  where T₁ is temperature of hot reservoir , T₂ is temperature of cold reservoir

= (889 - 657 ) / 889

= ,261 or 26.1 %

output of work = .261 x 4710 = 1229.15 J .

Efficiency of second engine

=  (657 - 406 ) / 657

= .382

Heat rejected in engine one is heat input of second engine

heat input of second engine = 4710 - 1229.15 = 3480.85

output of work of second engine

=  .382 x 3480.85 = 1329.68 J

Total work delivered by two engine

= 1229.15  +  1329.68 J

= 2558.83 J

a battery-operated car moves forward as a result of which device?

Answers

Answer:

the wheels

Explanation:

Answer:

depends..

Explanation:

it can be Electromagnet or generator or a motor

The bonds between molecules store ____ Energy?

Answers

Answer:

chemical energy

Explanation:

Answer:

chemical energy

Explanation:

Energy is also stored in the covalent bonds holding atoms together in molecules. ... the difference in the amount of free energy given off as the original, reacting molecules fly apart, and the amount of free energy absorbed as the new covalent bonds form is left in the environment, often as light and/or heat.

what is surface tension

Answers

Answer:

Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible. Surface tension allows insects, usually denser than water, to float and slide on a water surface.

Whenever an object is moving at a constant rate, the value(s) that equal zero is (are):
a) Speed
b) Acceleration
c) Velocity
d) All of the above

Answers

Whenever an object is moving at a constant rate . . .

a).  its speed is that constant rate.

b).  Its acceleration MAY BE zero, if it's also moving in a straight line.

c).  Its velocity is that constant rate if it's moving in a straight line.  Otherwise, its velocity could have many different values, depending on the path it's following.  

a cart travels 3.00 meters east and then 4.00 meters north. the magnitude

Answers

Answer: 5 m

Explanation:

X^2= 9+16

X = 5

According to pythagoras law

he atomic radii of Li and O2- ions are 0.068 and 0.140 nm, respectively. (a) Calculate the force of attraction in newtons between these two ions at their equilibrium interionic separation (i.e., when the ions just touch one another). (b) What is the force of repulsion at this same separation distance

Answers

Answer:

a

 [tex]F =  -1.07 *10^{-8} \  N [/tex]

b

[tex]F_r = 1.07 *10^{-8} \ N[/tex]

Explanation:

Generally the force of attraction between this two irons is mathematically represented as

[tex]F = \frac{k * [Q_{Li} ] * [Q_{O} ] }{ r^2}[/tex]

Here k is known as the proportionality constant with value [tex]k = 2.31 * 10^ {-28} J \cdot m[/tex]

substituting -2 for [tex] Q_{O} [/tex] i.e the charge on oxygen , +1 for [tex] Q_{Li} [/tex] i.e the charge on Lithium and [tex] [0.140 + 0.068 ] nm= 0.208 nm = 0.208*10^{-9} [/tex] for r

So

[tex]F = \frac{ 2.31 * 10^ {-28}* +1 * -2 }{ ( 0.208*10^{-9} )^2 }[/tex]

[tex]F = -1.07 *10^{-8} \ N [/tex]

Generally the force of repulsion will be the magnitude but different direction to the force o attraction

So Force of repulsionn is

[tex]F_r = 1.07 *10^{-8} \ N[/tex]

A 3.7-mm-diameter wire carries a 20 A current when the electric field is 8.2×10−2 V/m .
What is the wire's resistivity? (in Ωm)

Answers

Answer:

   ρ = 4.4 10⁻⁸ Ω m

Explanation:

For this exercise let's start by finding the value of the resistance using Ohm's law

          V = I R

           R = V / I

   

The voltage is related to the electric field

          V = E L

           

let's substitute

          R = E L / I

          R = 8.2 10⁻² / 20  

          R = 4.1 10⁻³ L

now we can use the resistance relation

          R = ρ L / A

the area of ​​a circular wire is

          A = π r² = π d² / 4

         ρ = R π d² / (4 L)

let's calculate

        ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

        ρ = 4.4 10⁻⁸ Ω m

The resistivity of the wire is 4.4 10⁻⁸ Ω m.

We know that;

V = I R

R = V / I

The voltage  the electric field can be connected using the formula;

V = E L

Hence;

R = E L /I

R = 8.2 10⁻² / 20  

R = 4.1 10⁻³ L

For resistivity;

R = ρ L / A

the area can be obtained from;

A = π r² = π d² / 4

ρ = R π d² / (4 L)

ρ = (4.1 10⁻³ L) π 0.0037² / (4 L) = (4.1 10⁻³) π 0.0037² / (4)

ρ = 4.4 10⁻⁸ Ω m

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Elmer Fudd is walking at 2.0 m/s. If he walks for 2.0 minutes, how far does he walk?
(Can someone help with the answer due in 5min)

Answers

Answer:

240 meters

Explanation:

He is walking 2 meters per second, and there are 60 seconds per minute. There are 120 seconds in two minutes. So, 120 x 2 = 240. That's your answer!

Does the atomic number of an atom change?

Answers

Answer:

An elements atomic number will never change, that is because the atomic number is its "identity."

5 blocks east and 2 blocks north and 6 blocks and then 8 blocks south. what's the total distance traveled?

Answers

Answer:

The answer is 21

Explanation:

5 + 2 + 6 + 8 = 21

HELP ASAP CORRECT ANSWER ONLY 10 PTS Collaboration, listening, and negotiating are considered __________ skills. interpersonal mathematical personal verbal

Answers

Answer:

Explanation:

verbal as they are all linked to communication and speaking

Answer: Verbal

Explanation: all three hints are signs of communication.

what would happen to life on earth if all the plants died? plz help

Answers

Answer:

we would all die

Explanation:

If all the plants on earth died, so would the people. ... When green plants make food, they give off oxygen. This is a gas that all animals must breathe in order to stay alive. Without plants, animals would have no oxygen to breathe and would die.


Derrick crawls 4 feet south, and then turns east and crawls 6 feet.
What distance did he cover?

What was his displacement?

Answers

Displacement is a vector quantity. The distance and displacement of the given object are 10 ft and 7.07 ft respectively.

Distance:

It can be defined as the change in position of the object. It is a scalar quantity.

Displacement = 4+6

Displacement = 10 ft

Displacement:It can be defined as the vector change in position overall change in position.It is a vector quantityVector quantity is the quantities that have both magnitude and direction.

[tex]\rm Dislacement =\sqrt { 4^2 +6^2}\\\\ \rm Dislacement = 7.07 ft[/tex]

Therefore, the distance and displacement of the given object are 10 ft and 7.07 ft respectively.

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Personal behavior is the only factor that determines if a person becomes ill.
Please select the best answer from the choices provided.
ОТ
OF

Answers

Answer:

FALSE

Explanation:

Q17: A quantity has a unit of Kg.m-1.s-1, then its dimension is:
(a) [M2 L2 T?]
(b) M L?T
(c) (M2 LT]
(d) [M L-1 T-1]
(e) [M L-11-2]

Answers

Answer:

It's dimension is (d) [M L-1 T-1]

Sound travels at a rate of 340 m/s in all directs through the air. Matt rings a very loud bell at one location, and Steve hears it some time later at his location 450 meters to the south. How long did it take the sound to travel from the bell to Steve’s location?

Answers

Answer:

It will take about 1.32 seconds to travel to his location.

Explanation:

Considering the sound travels at 340 m/s, then if a person is at a distance of 450 m m from the bell, we can use the velocity formula to find the answer;

[tex]velocity=\frac{distance}{time} \\340\,\frac{m}{s} =\frac{450\,\,m}{t} \\t=\frac{450}{340} \,s\\t\approx 1.32\,\,s[/tex]

Answer:

b

Explanation:

Since Allura Red is red in color, why did we choose to use monitor the wavelength of 470 nm? does allura red transmit or absorb red light ?

Answers

Answer:

Wavelenght of light in the range of 470nm is that of blue colourand Allura red absorbs this blue light and reflects the red light

Then we can say Allura red absorbs all light colours but reflect red

Allura is red due to the fact that it absorbs the light that's in the wavelength.

From the complete information, it should be noted that even though allura red is red in color, we choose to use monitor the wavelength of 470nm because absorbs the light that's in the wavelength range of blue color and thereby reflects the red wavelength.

It should also be noted that the allura red absorbs all the other wavelengths. It doesn't absorb the red light but rather it reflects it.

In conclusion, the red light will be reflected.

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