Suppose you walk 21.5 m straight east and then 12.5 m straight north. How far are you from your starting point (in m)

Answers

Answer 1

Answer:

24.9 m

Explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as the equilateral triangle, isosceles triangle, scalene triangle, right angled triangle.

You walk 21.5 m straight east and then 12.5 m straight north. This forms a right angled triangle with a horizontal distance of 21.5 m, a vertical distance of 12.5 m and the hypotenuse is the distance between the ending and starting point. Let x represent the distance between the ending and starting point. Therefore using Pythagoras theorem:

x² = 21.5² + 12.5²

x² = 462.25 + 156.25

x² = 618.5

Taking square root of both sides:

√x² = √618.5

x = √618.5

x = 24.9 m = distance between the ending and starting point.


Related Questions

A water tank is filled with water up to 3.5m in height. calculate the pressure given by the tank at its bottom.

Answers

Answer:

Explanation:

We are told that the height of the water tank is 3.5 m.

Now, the formula for pressure is;

P = ρgh

Where;

ρ is density of water = 1000 kg/m³

g is acceleration due to gravity = 9.8 m/s²

h = 3.5 m

Thus;

P = 1000 × 9.8 × 3.5

P = 34300 N/m²

A 1110 kg car moving at 21 m/s East is struck by a truck traveling West. The truck's impact exerts a force of -8000 kg•m/s2 for 0.90 seconds. Calculate the car's final velocity.

Answers

Answer:

v = 15.23 m/s

Explanation:

Given that,

Mass of a car, m = 1110 kg

Initial velocity, u = 21 m/s

Force,F = -8000 N

Time, t = 0.9 s

We need to find the final velocity of the car.

Force, F = ma

[tex]F=\dfrac{m(v-u)}{t}\\\\v-u=\dfrac{Ft}{m}\\\\v=\dfrac{Ft}{m}+u\\\\v=\dfrac{-8000\times 0.8}{1110}+21\\\\v=15.23\ m/s[/tex]

So, the final velocity of the car is 15.23 m/s.

14. The average speed of a car was 60 m/s by the time it reached the finish line. The car moved in a straight line and traveled from the starting
line to the finish line in 8.0 sec. How far was the finish line?

Answers

7.5m. Have a good day :)

The images below are models that represent the reactants and products of a chemical reaction.

Reactants Products



Based on the models, was mass conserved in this chemical reaction?
A.
No, because the purple atom formed two bonds in its reactant molecule and only one bond in its product molecule.
B.
No, because the reactants are made up of different types of molecules than the products.
C.
Yes, because the number of reactant molecules is the same as the number of product molecules.
D.
Yes, because the number of each type of atom is the same in the products as it is in the reactants.

Answers

Explanation:

In a chemical reaction, when mass is conserved , the number of atoms or moles of the reactants must be equal to the number of moles or atoms in the products side.

From the diagram, we should carefully look to see if the number of atoms that makes up the reactants are equal to those on the product side.

 For example:

      A + B → AB

Here, mass is conserved because, on the reactant side, we have 1 atom of A and on the product side we have 1 atom of A

For B, on the reactant side, we have 1 atom of B and on the product side, we have 1 atom of B.

Answer:

Yes, because the number of each type of atom is the same in the products as it is in the reactants.

Explanation:

The propeller of an aircraft is spinning at 10 rev/s when the pilot shuts off the engine. The propeller reduces its angular velocity at a constant 2.0rad/s2 for a time period of 40 s. What is the rotation rate of the propeller in 40 s

Answers

One revolution of the propeller corresponds to a rotation of 2π radians, so that the propeller has an initial angular velocity of

10 rev/s = (10 rev/s) • (2π rad/rev) = 20π rad/s

The propeller thus has an angular velocity ω at time t of

ω = 20π rad/s - (2.0 rad/s²) t

so that at t = 40 s, its angular speed is reduced to

20π rad/s - (2.0 rad/s²) (40 s) = (20π - 80) rad/s

Convert this to a rotation rate by dividing this result by 2π :

(20π - 80) rad/s = ((20π - 80) rad/s) • (1/(2π) rev/rad) ≈ -2.73 rev/s

which would suggest that the propeller has started to turn in the opposite direction at a rate of 2.73 rev/s.

what is the difference between a 4x100 and a 4x400 relay

Answers

a 4x100 relay is where 4 people run 100 meters and a 4x400 relay is where 4 people run 400 meters

A 1.0 kg mass at the end of a spring has an amplitude of 0.10 m and vibrates 2.0 times per second. What is its velocity when it is 0.10 m from equilibrium.

Answers

Answer:

[tex]v=0m/s[/tex]

Explanation:

From the question we are told that

Mass of object[tex]M=10kg[/tex]

Amplitude[tex]A=0.10m[/tex]

SHM [tex]w=2.0 times per second.[/tex]

Distance from equilibrium [tex]0.10m[/tex]

Generally the equation for SHM displacement from equilibrium position is mathematically given by

[tex]v=Aw\sqrt{1-\frac{x^2}{A^2}}[/tex]

For [tex]x=0.10[/tex]

Therefore

[tex]v=Aw\sqrt{1-\frac{0.10^2}{A^2}}[/tex]

[tex]v=0.10*2\sqrt{1-\frac{0.10^2}{0.10^2}}[/tex]

[tex]v=0.10*2\sqrt{1-1}[/tex]

[tex]v=0m/s[/tex]

FILL IN THE BLANK.

The __________ of a vector is represented by the length of the arrow.

Answers

Answer:

magnitude

Explanation:

because

100 point question!! A driver begins to brake when her car is traveling at 15.0 m/s, and the car comes to a stop 4.0 s later. How much farther does the car go after the driver begins to brake, assuming constant acceleration?

Answers

Answer:

30 m

Explanation:

Let's list out the known variables that we are given in this question.

v₀ = 15 m/sv = 0 m/s t = 4 s

We are trying to solve for displacement in the x-direction.

Δx = ?

Find which constant acceleration equation contains all 4 of these variables.

[tex]\displaystyle \triangle x = \Big (\frac{v+v_0}{2} \Big ) t[/tex]

Plug the known values into the equation and solve for delta x.

[tex]\displaystyle \triangle x = \Big (\frac{0+15}{2} \Big ) \cdot 4[/tex] [tex]\displaystyle \triangle x = \Big (\frac{15}{2} \Big ) \cdot 4[/tex]   [tex]\displaystyle \triangle x =\frac{60}{2}[/tex] [tex]\triangle x = 30[/tex]

The car goes 30 m after the driver begins to brake.

Answer:

the answer should be 30 m

Explanation:

have a good day

Which pair of waves could overlap to produce a wave with a higher amplitude
through interference?
A. Two waves of the same amplitude with crests that overlap troughs
B. Two waves of the same amplitude with crests that are perfectly
aligned
C. Two waves of different amplitudes that are also different types of
waves
D. Two waves of different amplitudes with crests that overlap
troughs

Answers

Answer: The Answer is B (Sorry if this is late)

Explanation:

I couldn’t find the answer to the question myself then found you, with no answer. So I guessed and failed my third question of the quiz, you were worth the sacrifice though ✨

The pair of waves could overlap to produce a wave with a higher amplitude through interference is that two waves of the same amplitude with crests that are perfectly aligned. Hence, option B is correct.

What is Amplitude?

The maximum deflection or distance made by a point on even a vibrating object or wave relative to its equilibrium location is known as the amplitude in physics. It is equivalent to the length of a vibration path divided in half.

A pendulum's amplitude is therefore equal to the distance that the bob travels when swinging through one side to another. Vibrating sources produce waves, whose amplitude is inversely proportional to the source's amplitude.

The largest deviation of any place on the string out of its place when the line is at rest is used to determine the amplitude of a wave propagation, like the wave on such a plucked string.

Therefore, it concludes that option B is correct.

To know more about Amplitude:

https://brainly.com/question/8662436

#SPJ2

A child shoots a ball with a slingshot off the roof of a skyscraper at an angle paralle with the ground. The ball has an initial velocity of 10 m/s. After the ball travels for 5 seconds how much fast will it be traveling? ((I don't know need help​

Answers

Answer:

Not accounting for friction, the ball would be falling at 14.0 m/s

Explanation:

Without a coefficient of kinetic friction being provided, we'll have to assume zero friction between the ball and the air.

In that case, the ball's horizontal speed will remain 10 m/s.  To find it's velocity in five seconds then, we just need to take gravity into account.

Let's assume acceleration from gravity is 9.8 m/s².  We can simply multiply that by five seconds to find out how fast it's going at that point:

[tex]9.8\frac{m}{s^2} \times 5s\\= 49 \frac{m}{s}[/tex]

So at five seconds, the ball is moving horizontally at 10 m/s and vertically at 479 m/s.

Now we can simply take the hypotenuse between those two vectors to get the actual speed:

[tex]s = \sqrt{9.8^2 + 10^2}\frac{m}{s}\\s = \sqrt{96.04 + 100}\frac{m}{s}\\s = \sqrt{196.04}\frac{m}{s}\\s = 14.0 \frac{m}{s}\\[/tex]

So lacking air to slow it down, the ball would be going at approximately 14.0 metres per second.

To open a soda can lid, a force of 50 N is applied to a car key, which acts as a lever. If the car key applies a force of 400 N to the lid, then the mechanical advantage of the car key is ___.

a 12
b 10
c 6
d 8

Answers

Explanation:

Given. Required

wo = 400N. MA=?

wi = 50N

Solution

MA = wo = 400N =8

wi. 50N

What determines the radiation that an electromagnetic wave emits?

a. its speed
b. its visibility
c. its amplitude
d. its wavelength
PLEASE HELP!!!!

Answers

Its wavelength, d. I hope

The electromagnetic waves are determined by the wavelength. Hence, the correct option is D.

What are electromagnetic waves?

Electromagnetic waves are made up of vibrating electric and magnetic fields. The electric and magnetic fields are mutually perpendicular to each other. EM waves are transverse in nature.

Electromagnetic waves can travel through the vacuum in the form of radiation. The EM waves travel with the speed of light 3×10⁸ m/s. EM waves have no mass and charge. These waves can carry energy in space.

The behavior of electromagnetic waves depends on its frequency and wavelength. EM waves are classified into 7 types based on its frequency and wavelength. They are classified from radio waves to  Gamma rays.

Frequency is inversely proportional to wavelength, f = c / λ. Higher frequencies have shorter wavelength and lower frequencies have longer wavelength.

Thus, the wavelength determines the radiation that an electromagnetic waves. Hence, the option D is correct.

To learn more about Electromagnetic waves:

https://brainly.com/question/3101711

#SPJ3

How much gravitational force attracts a ball weighing 300 kilograms ?

Answers

Given that,

Mass of a ball = 300 kg

To find,

The gravitational force acting on the ball.

Solution,

The force acting on the ball is force of gravity. It is equal to the weight of the ball.

W = mg

Substitute the value of m and g in the above formula

W = 300 kg × 10 m/s²

= 3000 N

Therefore, the ball attracts with a force of 3000 N.

Just 4 questions, I’ll give brainiest and pts the questions are in the photo

Answers

Answer:

1. Divide the weight by speed of the people pushing it to get net force

2. Whether one side of the object is pushing harder or not you will get ur answer, for example if the left side is pushing 3 newtons to the right and the right side pushing 5 newtons to the left, the net force would be 2 newtons of force pushing left and if its an even amount of force then it will be 0

3. If one side of an object pushes harder than the other side, then the object will move in favor of the one who is pushing harder.

4. 200 newtons or 200N

Explanation:

An 190,000 W engine can accelerate from rest to a top speed in 9 s.
How much work did the engine do?

Answers

We have that the work the engine did is

w=1710000J

From the Question we are told that

Power  P=190,000 W

T= 9 s

Generally the equation for the work   is mathematically given as

[tex]w=pt\\\\w=190,000*9s\\\\w=1710000J[/tex]

For more information on this visit

https://brainly.com/question/21231013?referrer=searchResults

A student places two books on a table. One book weighs less than the other book
Which book has less potential energy (PE)? *
(10 Points)

Answers

The book that weighs less

Plz help me

Thank you so much

Answers

Answer:

I believe its the blue, sorry if I'm wrong

A driver starts his parked car and within 5 seconds reaches a velocity of 54 km/hr as he
travels east. What is his acceleration?​

Answers

Answer:

10.8

Explanation:

The only planet in the solar system with the temperature that can support life is

Answers

Answer:

earth

Explanation:

its the only planet.

The highest point on the American eagle roller coaster is 39 meters above the ground. Find the potential energy of a 625 kg roller coaster car that is at its highest point on the track. Use g=10m/s

Answers

Answer:

243.75kJ

Explanation:

Step one:

Given parameters

Height= 39meters

mass= 625g

g= 10m/s

Required

The potential energy PE

Step two:

the expression for the potential energy is given as

PE=mgh

PE=625*10*39

PE=243750 J

PE=243.75kJ

A pipe that is open at both ends has a fundamental frequency of 320 Hz when the speed of sound in air is 334 m/s. What is the length of this pipe

Answers

Answer:

Length of pipe 0.5m

Explanation:

Step one

Given data

fundamental frequency of 320 Hz

n=1

Velocity v=334m/s

Note: the subsequent frequency of sound are a multiple of it fundamental frequency

Step two

Applying the formula we have

Fn=nv/2l

Substitute

320=1*334/2L

Cross multiply

320*2L=334

640L=334

Divide both sides by 640

L=334/640

L=0.5m


A student slides a rock along the flat surface of a frozen pond. The rock starts to slow down after several seconds. Construct an explanation using Newton's Laws that describes why the rock begins to decelerate.

Answers

Answer:

When the student slides the rock along the flat surface of the frozen pond, according to Newton's second law of motion, the rock is given an initial velocity of motion. According to Newton's first law of motion, the rock will continue to slide indefinitely unless it is slowed or stopped by an opposite force. According to Newton's third law, the rock experiences a reaction force from the force of friction of the ice which slows it down at a rate given by Newton's second law of motion and the rock is seen to decelerate

Explanation:

Newton's first law of motion, states that an object will remain at rest or maintain a uniform motion in a straight line, unless impressed upon by an external force

Newton's second law states that an applied force is equal to the rate of change of momentum it produces

Newton's third law states action and reaction are equal and opposite.

2. A 0.8 kg tetherball hangs on the end of a cord. It is hit by a child and rises 2.1 m above the ground. a. What is the maximum gravitational potential energy of the ball?

Answers

Answer:

E = 16.464 J

Explanation:

Given that,

Mass of tetherball, m = 0.8 kg

It is hit by a child and rises 2.1 m above the ground, h = 21. m

We need to find the maximum gravitational potential energy of the ball. The formula for the gravitational potential energy is given by :

E = mgh

g is acceleration due to gravity

E = 0.8 kg × 9.8 m/s² × 2.1 m

= 16.464 J

So, the maximum potential energy of the ball is 16.464 J.

is cereal a soup? aCTUALLY EXPLAIN WHY OR WHY NOT!

Answers

Answer:

No

Explanation:

Cereal is cereal and soup is soup.

What are the magnitude and direction of electric field at the center of square?

Answers

Answer:

hello the diagram related to this question is missing attached below is the missing diagram

Answer :

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

Explanation:

The magnitude of the electric field = 4KQ / L^2

direction = 45° east to south

The creation of electricity in a coil of a wire through the movement of a magnet is called what?

A) electromagnet
B) Magnetosphere
C) Magnetism
D) Electromagnetic Induction

Answers

Answer:

D. Electromagnetic Induction.

Explanation:

Please Help Me!!!........​

Answers

Answer:

B: A  material with relatively weak bonds between it's particle can be shped in to a thin sheet.

Explanation:

What is a common cause of insomnia? (2 points)
Eustress
Type B personality
Chronic stress
Functional fixedness

Answers

Answer:

stress

Explanation:

Common causes of chronic insomnia include: Stress. Concerns about work, school, health, finances or family can keep your mind active at night, making it difficult to sleep. Stressful life events or trauma — such as the death or illness of a loved one, divorce, or a job loss — also may lead to insomnia.

Answer:

C. Chronic Stress

Explanation:

I took the test

6. What are formed from the chemical reaction of the substances given
below? Write the balanced chemical reaction as well.
a) When carbon burns in air
b) When calcium carbonate is heated
c) When a piece of burning magnesium ribbon is inserted in the
jar filled with oxygen gas.
d) When hydrogen peroxide gets dissociated in the presence of
manganese dioxide.
e) When
chemical reaction between calcium carbonate
and hydrochloric acid takes place.​

Answers

Answer:

1) CO2

2) CO2 and CaO

3) MgO

4) H20 and O2

5) CaCl2, CO2, H2O

Explanation:

Now let us try to put down the reactions here;

1) C(s) + O2(g) -------> CO2(g)

2) CaCO3(s) -------> CaO(s) + CO2 (g)

3) 2Mg(s) + O2(g)------> 2MgO

4) 2H2O2(aq) --------> 2H2O(l) + O2(g)

5) CaCO3(s) + 2HCl(aq) ------> CaCl2(aq) + CO2(g) + H2O(l)

Note that a chemical reaction equation is only said to be balanced when the number of atoms of each element on both sides of the reaction equation are exactly the same.

Other Questions
What would happen if we did not have Start Codons? A. Polypeptide chains would continue to grow B. Protein synthesis wouldn't occur C. Amino acids would bind to tRNA D. mRNA would form a double strand Read the following statement and identify the fallacy used. All kids are messy, so stock up on Clean-Up paper towels. red herringarguing in circlesbandwagonovergeneralization Algebra basics Graphing lines and slope Question: Detereme the intercepts of the line y - intercept ( , ) ( , )x - intercept ( , ) ( , ) In the last step of DNA replication, what doesthe DNA polymerase do? HELPPPPPPPPPPPPPPP MEEEEEEEE PLSSSSSSSSSSSSS I WILL GIVE 2O POINT TO THE FIRST PERSON THAT ANSWERS IT AND BRAINLIESTwhat does this experiment tell you about sun exposure and heat? what are 2 laws the explained how they specifically impacted the colonists. Which expression is equivalent to 1 x +3 - 3x + (-2)? Thrilled me - filled me with fantastic terrors never felt before is an example of which literary device?Group of answer choicesA. consonanceD. repetitionC. assonanceB. a play on words Identify the type of sentence. If it takes as long to explore the moon as it did to explore this continent, our generation will not live to see the job finished. If a mother and father are both heterozygous for Brown hair (B) over blond hair (b), what will their offspring look like? on a punnett square? UM PLZ HELP MEEEEEEE Which expression is equivalent to 3x+5+7x+2 Consider the heating curve for water. At what temperature does the solid start melting? 20C 0C 20C 80C How did Durham's report affect French-speaking Canadians? 50 POINTS!! Describe a time in the discussion when you asked or answered a question by using the information you learned while you were preparing for the discussion. Complete this task based on the Anne Franke discussion. what is the distributive property of 18+42 April works at a gym. She earns $675 per month. She is paid an additional $7.50 for each new membership she sells. April wants to earn more than $900 this month.If m is the number of new memberships April sells, which inequality represents this situation, and what quantities are true for m? What term was used by people of the time to describe the war fought between the Central Powers and the Allies?the Great WarWorld War IIWorld War Ithe Civil War Animal Farm - Maximus's SpeechExplain what the poet is saying in this stanza. Had I a sucking-pig, Ere he had grown as big Even as a pint bottle or as a rolling-pin, He should have learned to be Faithful and true to thee, Yes, his first squeak should be Comrade Napoleon! In Texas, failure to ______can cause you to be imprisoned for 5 years. renew your licenseregister your vehiclerender ald at the scene of a collisionturn your headlights on at night