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
laila [671]
3 years ago
7

Round to 2 decimal places *

Mathematics
1 answer:
EleoNora [17]3 years ago
5 0

Answer: The circumference of the dome is therefore 149.15 feet or 47.5π feet

Step-by-step explanation:

A scale is basically referred to as the ratio of the dimensions of an object as represented in a draft to the real or true dimensions of the object being drafted.

The figure(s) on the left of the ratio sign represents the size and dimensions of the model with respect to the actual size or dimensions of the object. On the other hand, the figure on the right hand size represents the actual dimensions and size of the real object.

So, if an object is being drawn with the ratio, 1cm : 5cm it means that the size of the object is being reduced because every 5cm of the actual object will always be represented by 1cm in the drawing. If the object is being drawn with a scale of 5cm : 1cm then the actual size of the object will be increased in the drawing. That is, for every 1cm in the actual dimensions of the object, there will be a 5cm representation in the drawing.

Now, the architect draws with a scale of 0.25 inches : 1 foot. If the diameter of the hemispherical dome is 23.75 inches in the scale model, then the actual diameter of the dome is:

0.25 inches ------- 1 foot

23.75 inches ------- ? feet

= 23.75/0.25 × 1

= 95 feet

Therefore, the actual diameter of the dome is 95 feet. We are now required to find the circumference of this dome.

The dome is a hemisphere which literally means half of a sphere. So, if the formula for finding the circumference of a sphere is πd, that of a hemisphere will then be πd/2. Since the diameter is already known to be 95 feet, the circumference of the hemisphere =

(π × 95)/2

=47.5π feet

Or

If π = 3.14, then the circumference = (3.14 × 95)/2 = 149.15 feet

The circumference of the dome is 149.15 feet or 47.5π feet

You might be interested in
What type of triangle is this?<br> A. Right<br> B. Equilateral <br> C. Isosceles <br> D. Scalene
balu736 [363]

Answer:

It's an Equilateral triangle

Step-by-step explanation:

This is because of the fact that all of its sides are equal

8 0
2 years ago
Read 2 more answers
___ are released that cause the cell to lyse or cytolysis
Vladimir79 [104]

Answer:

immune system

Step-by-step explanation:

I don't know exactly but I think the immune system

7 0
2 years ago
Read 2 more answers
Find the area of the shaded regions: the green is the shaded area
algol13

Answer:

the green area stands for the safe operation space

Step-by-step explanation:

u say b×h meaning say 80degrees ×9cm which is 720..

7 0
2 years ago
2. Solve x - 19 &lt; 81​
vovikov84 [41]
The answer would be X =90
5 0
3 years ago
Read 2 more answers
Subtract. −13−(−6) a−19 b−7 c-19
Elza [17]

Answer:

-7

Step-by-step explanation:

-13-(-6)

-13+6

-7

6 0
2 years ago
Read 2 more answers
Other questions:
  • M^2-6m+9\m^2-2m-3÷m^2-5m+6\m^2-3m+2
    12·1 answer
  • What is the zero of r(x)=8/3x-16?<br><br>a) -16<br>b) -6<br>c) 6<br>d) 16
    14·2 answers
  • If h=xtan60* and h=(40-x)tan30* how do i find h
    10·1 answer
  • Which angles are pairs of alternate exterior angles
    5·1 answer
  • 4) Name The Angle Pair Represented And Solve For x. *<br> 37°<br> (6x - 11)
    7·1 answer
  • A CD in the financial sense is
    8·1 answer
  • a botanist estimated that a maple tree grows 0.24 ft per month. Write a reduced fraction that is equivalent to this amount
    7·1 answer
  • ?..................................................
    12·2 answers
  • The Smith family goes out for lunch, and the price of the meal is $45.The sales tax on the meal is 6%, and the family also leave
    6·1 answer
  • 3) How many whole 3s are there inside of 4½?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!