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
DENIUS [597]
3 years ago
10

3. Given rectangles and , and given that rectangle is fully rotated about line BC, answer the following questions. (a) Describe

the figure generated by the rectangle rotating about line BC. (b) About which line could you rotate rectangle to generate a figure that is similar to the first solid? (c) What are the ratios of the surface areas and volumes of the solids generated from and ? (d) Are and golden rectangles? Why or why not?
Mathematics
1 answer:
fgiga [73]3 years ago
7 0
It should form a cylinder. 

<span>b) </span>
<span>thats true. </span>

<span>c) </span>
<span>Using Formulas: </span>
<span>scale factor = 1.5/3 </span>
<span>scale factor = 1/2 </span>

<span>Surface area_small/Surface area_big = (scale factor)^2 </span>
<span>Surface area_small/Surface area_big = (1/2)^2 </span>
<span>Surface area_small/Surface area_big = 1/4 </span>

<span>Volume_small/Volume_big = (scale factor)^3 </span>
<span>Volume_small/Volume_big = (1/2)^3 </span>
<span>Volume_small/Volume_big = 1/8 </span>

<span>Check Understanding: </span>
<span>lets find the ratio from the small cylinder to the big cylinder. </span>

<span>S_small/S_big = ( 2π * (r_s)^2 + 2π r_s h_s ) / ( 2π * (r_s)^2 + 2π r_s h_s ) </span>
<span>S_small/S_big = 2π ( (r_s)^2 + r_s h_s ) / 2π( (r_s)^2 + r_s h_s ) </span>
<span>S_small/S_big = ( (r_s)^2 + r_s h_s ) / ( (r_s)^2 + r_s h_s ) </span>
<span>S_small/S_big = ( (1.5)^2 + (1.5) * 2.4 ) / ( (3)^2 + 3 * 4.8 ) </span>
<span>S_small/S_big = 1/4 <---- true </span>

<span>------------- </span>
<span>d) </span>
<span>I will show sort of an explanation: </span>
http://imageshack.us/photo/my-images/521... 

<span>lets take the longer piece of the big rectangle divide by the shorter. </span>
<span>AD/AB = 4.8/3 = 1.6 </span>

<span>small rectangle must be since it is similar to. </span>
<span>PQ/PS = 2.4/1.5 = 1.6 </span>

<span>yes they are since the longer piece to the shorter is close to 1.618 </span>
You might be interested in
If a figure is a triangle, then it has three sides.
stellarik [79]
This answer is true
3 0
3 years ago
Help? please.........
UkoKoshka [18]

Answer: 60°

Step-by-step explanation: A straight angle is 180°

180°- 120° = 60°

8 0
3 years ago
What information do you need to write the equation of a transformed quadratic equation in vertex form
Mrac [35]

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

Step-by-step explanation:

6 0
3 years ago
How are rational exponents and radicals related? Summarize how to rewrite a rational power as a radical term using an example of
Nataly [62]
<span>Rational exponent are exponents written in the form of a fraction. 
A rational power can be rewritten as a radical in the following way: the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.
Example: X^(1/2)= </span>√X
3 0
3 years ago
What are the coordinates of the x and y intercepts of the equation 3x+2x=12
Angelina_Jolie [31]
3(2)+2(3)=12 <<<< is the answer! :)
8 0
3 years ago
Other questions:
  • Driving from oban to stranraer a driver averages 8 miles per gallon of fuel. if fuel costs 83 cents a gallon how much will be th
    11·2 answers
  • 3 to the 2 power times 5 to the 3 times 8 divided by 3 times 5 to the 3 times 8
    5·1 answer
  • Which formula gives the zeros of y = sin(x)?
    12·1 answer
  • Let​ R(x), C(x), and​ P(x) be,​ respectively, the​ revenue, cost, and​ profit, in​ dollars, from the production and sale of x it
    13·1 answer
  • Tizah wants to put a fence around her garden. she has 22 yards of fence material. Does she gave enough to go all the way around
    8·1 answer
  • Solve this equation, and show work. worth 40 points.
    8·1 answer
  • Using the Formula n=1/(ME)2 to Determine Sample Size When we want confidence and use the conservative estimate of , we can use t
    7·1 answer
  • Which of the following are solutions to the quadratic equation? Check all that apply x^2 + 12x + 36 = 7
    11·1 answer
  • 2m · 2n would be the same as _____.<br><br> A) 4 mn<br> B) 2 m + n<br> C) 2 mn<br> D) 2 m - n
    13·2 answers
  • The value of an investment portfolio decreased by 8 % in 2010. In 2011, its value increased by 5% of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!