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
White raven [17]
3 years ago
8

The length and width of a rectangular room are measured to be 3.955±0.005m. Calculate the area of the room and its uncertainty i

n square meters.
Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

Step-by-step explanation:

We know the area of a rectangular room is the multiplication of the length and width:

Area= 3.955m*3.955m\\Area= 15.642 m^2

Now we need to know the uncertainty, the uncertainty of a multiplication is:

\frac{δ_a}{|Area|} =\frac{δ_L}{|L|}+\frac{δ_W}{|W|} (1)

δ_A: Area uncertainty

δ_L: Length uncertainty

δ_W: Width uncertainty

A: Area of the room

L: Length

W: Width

Clearing the uncertainty of the area:

δ_A=(\frac{δ_x}{|x|}+\frac{δ_y}{|y|})*Area (2)

δ_A=(\frac{0.005}{|3.955|}+\frac{0.005}{|3.955|})*15.642 m^2

δ_A= 0.040 m^2

The area of the room and its uncertainty in square meters is:

15.642±0.040 m^2

You might be interested in
A. What is the vertex of the equation y = (x - 4)??
Contact [7]

Good morning,

Answer:

(4 , 0)

Step-by-step explanation:

THe vertex of y = (x - 4)² is (4,0).

Look at the photo below for the graph.

:)

8 0
3 years ago
Explain the steps necessary to convert a quadratic function in standard form to vertex form.
Setler [38]

Answer:

j,jzkzkKkskaoaosiososososiosuxuxuux

6 0
3 years ago
Mark and eight of his friends went out to
Cerrena [4.2K]
If mark and 8 of his friends went out the total of people is 9, so if you think about it 9x9=81 so the total cost of the bill was $81
6 0
3 years ago
Read 2 more answers
Which coefficient in the function tells us that the parabola for the function will point downward? y = -2x2 5x - 4
Ludmilka [50]
The answer is 16 I think because 2*2=4*5=20-4=16 so I think 16 is the right answer
5 0
3 years ago
Name the triangle with the following characteristics. sides: 5 cm, 6 cm, 7 cm; Angles: 75° and 60°. yeah
Verdich [7]

Answer:

Step-by-step explanation:

this triangle is regular one

  • we can't apply the pytahgorian theorem 5²+6²≠7²
  • the angles have different sizes 75≠60≠45
  • the sides have different lengths 5≠6≠7

6 0
3 years ago
Other questions:
  • Timelimit: 15 minutes. 11:08 remaining, x A radio tower is located 250 feet from a building. From a window in the building, a pe
    9·1 answer
  • Chen rode his skateboard 3 3 4 miles in 3 4 of an hour. What was his average speed in miles per hour?
    12·1 answer
  • What the unit rate for this? “9 inches of snow in 3 hous”
    7·1 answer
  • Someone please help
    11·1 answer
  • What is a unreduced fraction
    8·2 answers
  • THIS IS SO CONFUSING! I hate this
    7·1 answer
  • Si Jose recarga su teléfono con ₡6000 y realiza 5 llamadas de 4 minutos, 3 llamadas de 6 minutos y manda 20 mensajes ¿cuanta rec
    6·1 answer
  • Help me I'm stuck on this assignment problem ​
    5·1 answer
  • HELLO HELP PLS THANK YOU
    14·2 answers
  • Need only #6 done (Show work) will give brainliest
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!