1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
4 years ago
6

Your bedroom has a rectangular shape, and you want to measure its area. You use a tape that is precise to 0.001 and find that th

e shortest wall in the room is 3.547 long. The tape, however, is too short to measure the length of the second wall, so you use a second tape, which is longer but only precise to 0.01 . You measure the second wall to be 4.79 long. Which of the following numbers is the most precise estimate that you can obtain from your measurements for the area of your bedroom?
If your bedroom has a circular shape, and its diameter measured 6.32 , which of the following numbers would be the most precise value for its area?

a) 30 m^2
b) 31.4 m^2
c) 31.37 m^2
d) 31.371 m^2
Physics
1 answer:
Anarel [89]4 years ago
5 0

Answer:

(a) 17.0 m^{2}

(b) 31.4 m^{2}

Explanation:

(a)

The result obtained by multiplying two values which are having different precision has to express in the precision of the least precise number. So among the given values 4.79 is the least precise value; hence round off the result to 3 significant figures. For a rectangular room, area is a product of length and width, here, l is length and b is width/breadth

Area=lb=4.79*3.547=16.9901\approx 17.0 m^{2}

(b)

Following the same rules mentioned in part a of the question

For circular shaped bedroom, area A={\pi (d/2)^{2}}

A=\pi\times (6.32/2)^{2}=31.37 m^{2}\approx 31.4 m^{2}

The diameter of the circular room is 6.32, this is the least precise value used to calculate the area, so round off the final result to 3 significant figures

You might be interested in
To calculate the change in kinetic energy, you must know the force as a function of _______. The work done by the force causes t
aliya0001 [1]

To calculate the change in kinetic energy, you must know the force as a function of position. The work done by the force causes the kinetic energy change

Explanation:

The work-energy theorem states that the change in kinetic enegy of an object is equal to the work done on the object:

\Delta E_k = W

where the work done is the integral of the force over the position of the object:

W=\int F(x) dx

As we see from the formula, the magnitude of the force F(x) can be dependent from the position of the object, therefore in order to solve correctly the integral and find the work done on the object, it is required to know the behaviour of the force as a function of the position, x.

6 0
3 years ago
Through which gas in the table will sound waves travel faster than they would
Leni [432]

Answer: Methane

Explanation: I just took the AP€X quiz and Methane was the correct answer!

4 0
3 years ago
Read 2 more answers
You have a concave mirror of focal length 20 cm. You want to obtain a real image of double the
ExtremeBDS [4]

Between centre of curvature and principal focus.

6 0
3 years ago
A temperature of 200°F is equivalent to approximately
aev [14]
<span>93.3°C
A temperature in Fahrenheit (°F) can be converted to Celsius (°C), using the formula
[°C] = ([°F] − 32) ×  5⁄9. Here we have to convert a temperature of 200°F in to Celsius. Thus Subtract 32 from Fahrenheit and multiply by 5 then divide by 9 . That is (200°F - 32) × 5/9=168 × 5/9
                                          =840/9
                                          =93.333333333°C
                                          = 93.3°C</span>
7 0
3 years ago
Read 2 more answers
If you lie on the ground at night with no cover, you get cold rather quickly. Much of this is due to energy loss by radiation. A
marin [14]

Answer:

301.48 J/s

Explanation:

We are given;

Temperature of the sky dropping to −40∘C: T_o = -40°C = -40 + 273 = 233 K

Temperature of your skin and clothes: T = 30°C = 30 + 273 = 303 K

Body surface area of human body is around 2 m². But here only half of the body is facing the sky, Thus Area is: A = 2/2 = 1 m²

To solve this, we will use the equation for thermal heat transfer known as the Stefan bolt Mann equation.

ΔQ/Δt = εσA(T⁴ - (T_o)⁴)

Where;

ΔQ/Δt is the rate at which you body loses energy by radiation

ε is the emissivity of the human body with a value of 0.97

σ is Stefan boltzmann constant with a value of 5.67 X 10^(-8) W/m².K⁴

Thus;

ΔQ/Δt = 0.97 × 5.67 X 10^(-8) × 1(303⁴ - 233⁴)

ΔQ/Δt = 301.48 J/s

7 0
3 years ago
Other questions:
  • What is the speed of a 48-kilogram dog running across<br>a lawn with 216 joules of kinetic energy?​
    9·1 answer
  • Name one thing that causes domains of a magnets atoms to lose alignment
    13·2 answers
  • Which of the following has potential but not kinetic energy?
    8·2 answers
  • An​ airplane, flying horizontally at an altitude of 3 miles​, passes directly over an observer. If the constant speed of the air
    11·1 answer
  • A small lightbulb is 1.06 m from a screen. A) If you have a convex lens with 20 cm focal length, where are the two lens location
    12·1 answer
  • What occurs along a convergent plate boundary?
    5·2 answers
  • Find the acceleration of a car that can go from rest to 50 km/h in 13 s
    12·1 answer
  • An object, with mass 83 kg and speed 15 m/s relative to an observer, explodes into two pieces, one 4 times as massive as the oth
    13·1 answer
  • What is radioactive dating? How is it used to determine age of something?
    7·1 answer
  • In 1976, a 53 kg helicopter was built in Denmark. Suppose this helicopter flew east with a speed of 60.0 m/s and the total momen
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!