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
Elanso [62]
3 years ago
11

Identify the diameter of the circular base created by folding the figure into a right cone. HELP ASAP PLEASE!!

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0

let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.

think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.

now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area.  Well, what is the circumference of that shaded area?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies C=2\pi 12\implies C=24\pi \implies \stackrel{\textit{three quarters of it}}{24\pi \cdot \cfrac{3}{4}} \\\\\\ 6\pi \cdot 3\implies 18\pi

well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=18\pi \end{cases}\implies 18\pi =2\pi r\implies \cfrac{18\pi }{2\pi }=r\implies 9=r \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{\textit{diameter is twice the radius}}{d=18}~\hfill

You might be interested in
Maria makes beaded necklaces. She charges a rate of $0.75 per inch in length plus $0.25 per bead as shown in the expression, whe
sergiy2304 [10]
16x+60y
16(.75)+60(.25)
12+15=27
maria would charge $27 for this necklace
3 0
3 years ago
Read 2 more answers
Which transformations could transform triangle WXY into triangle RST to show that they are similar?
mylen [45]

Answer:B

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A hose fills a 10,000-gallon swimming pool at a rate of 10 gallons per minute. what is the domain and range?
defon

Answer:

Domain: 0 minutes to time it takes to fill. Range: 0 to a 10,000 gallons

Step-by-step explanation:

4 0
3 years ago
Find the volume of the rectangular prism:<br><br> F. 36x<br> G. 48x <br> H. 72x<br> J. 24x
Alexxandr [17]

Answer:

F

Step-by-step explanation:

5 0
3 years ago
Two trees cast shadows on the ground as shown. The smaller tree is 17m high and cast a 10m long shadow.
Setler [38]

Answer:

2.8

Step-by-step explanation:

this is my best guess

5 0
2 years ago
Other questions:
  • A four-pack of 4242-ounce ink cartridges sells for $85.99$85.99. The expression 42c42c represents the amount of ink in a number
    9·1 answer
  • The Cougars football team took possession of the ball on the 23-yard line moving toward the 50-yard line. On the first play from
    13·1 answer
  • You have a meal at a restaurant. The sales tax is 8%. You leave a tip for the waitress that is 20% of the pretax price. You spen
    7·1 answer
  • Solve for the x <br> (Round to the nearest hundred)
    12·2 answers
  • Which rigid transformation(s) can map AMNP onto ATSR?
    14·1 answer
  • Please answer all three.​
    5·2 answers
  • Hurry schools almost bitterly done pls hurry plssss'
    10·1 answer
  • Christine bought lunch 15 times at school this month and spent a total of $49.50. Each of her lunches cost an equal amount
    11·2 answers
  • A student is writing a research paper and must include sources from both magazines and books.
    10·1 answer
  • What 124.2÷9 step-by-step explanation please help !! ( long division ..”
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!