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
True [87]
3 years ago
8

Esther's company has been contracted to lay carpet in a room at a new observatory. The floor plan for the room is in the shape o

f a regular pentagon and has measurements as shown in the diagram below.
and explain plis

Geography
1 answer:
Alla [95]3 years ago
3 0

9514 1404 393

Explanation:

The figure shows a regular pentagon with the radius and the length of one side given. The Pythagorean theorem to find the missing side of the right triangle whose given sides are the pentagon radius and half the side length. That missing side is the apothem of the pentagon. As with any regular polygon, the area of this pentagon will be half the product of the perimeter and the apothem. The perimeter of a pentagon is 5 times the side length. All dimensions are in feet, so the area will be in square feet.

__

<em>Additional comment</em>

The working out was not requested, but here it is, anyway.

  a = √(40.8² -(48/2)²) = √1088.64 ≈ 32.99 . . . feet

  P = 5(48 ft) = 240 ft

  A = (1/2)Pa = (1/2)(240 ft)(32.99 ft) = 3959.3 ft²

Note that the radius has been rounded down to the nearest tenth. If the full-accuracy value were used, the area would be found to be 3963.98 ft².

You might be interested in
Why are deltas rare in south african rivers
kirill115 [55]
Rivers are lifelines in many dry regions of Africa. They provide the necessary water for agriculture, household uses, transport, and biodiversity. They fill the wetlands of inland and coastal deltas with fresh water, thereby maintaining the inhabitant’s livelihoods and biodiversity of these dynamic areas
6 0
4 years ago
Read 2 more answers
Which statements about fresh water and salt water are true? Check all that apply.
scoundrel [369]

The correct answers are:

2. Fresh water is essential to all life on earth.

and

4. Most of earth's water is stored in the oceans

3 0
3 years ago
Read 2 more answers
it is possible for two stars to have different temperatures and different sizes but the same luminosity. explain how.
Darina [25.2K]

Answer:

Two stars (a and b) can have the same luminosity, but different surface area and temperature if the following condition is met:

(T_a^4)(R_a^2) = (T_b^4)(R_b^2)

Explanation:

The luminosity of a star is the total energy that produces in one second. It depends on the size of the star and its surface temperature.

L = σ(T^4)(4πR^2)

L is the luminosity f the star, T is the temperature of the surface of the star and R is its radius.  

Two stars can have the same luminosity if the relation between the radius and the surface temperature is maintained.  

To see this lets suposed you have 2 stars, a and b, and the luminosities of each one of them:

L_a = σ(T_a^4)(4πR_a^2)

L_b = σ(T_b^4)(4πR_b^2)

you can assume that L_a and L_b are equal:

σ(T_a^4)(4πR_a^2) = σ(T_b^4)(4πR_b^2)

Now, you can cancel the constants:

(T_a^4)(R_a^2) = (T_b^4)(R_b^2)

as long as this relation between a and b is true, then the luminosity can be the same.

6 0
3 years ago
Lightweight water purifier
Alona [7]

Answer:

Platypus Gravity Works. ...

Katadyn Hiker Water Filter. ...

Steripen Ultra UV Water Purifier. ...

Grayl GeoPress Water Purifier Bottle. ...

MSR Miniworks EX Water Filter. ...

MSR Guardian Purifier

Explanation:

I look on the internet

4 0
3 years ago
Explain why the nutrient cycle is slower in a desert than a tropical rainforest
Angelina_Jolie [31]

Answer:

Leaching removes nutrients from the soil. The nutrient cycle is slower than in the tropical rainforest as temperatures are not as high, so decomposition is slower, and there is less rainfall.

8 0
3 years ago
Other questions:
  • What is the difference between oceans and seas ​
    11·1 answer
  • Nearly 75 percent of Sri Lanka's population is _____.
    5·1 answer
  • The printing press was important in the spread of the Protestant Reformation.
    12·2 answers
  • The best farming areas in the region are found in _____. A)Norway and Denmark B)southern Sweden and Norway C)Denmark and souther
    6·2 answers
  • Analyze the chart below and answer the question that follows.
    11·1 answer
  • which is a main goal of opec? a. to stop production of oil in the middle east b. to prevent industrialized countries from having
    5·2 answers
  • Anytime stress causes rocks to change, ____ is the result
    7·2 answers
  • Which of these might a scientist do as part of the scientific process
    9·1 answer
  • Question 12 of 15
    11·1 answer
  • 1. Coruse hero what are the two major rivers of the mesopotamian valley? what modern country are these two rivers in today?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!