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
3241004551 [841]
2 years ago
15

You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you

get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
4 0

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

You might be interested in
okay so i have to tutor a bunch of little kids in algebra and i want ideas for a fun, easy game that can be played by 4 or more
Firlakuza [10]
Have the kids answer questions, if correct they get to shoot a small ball into a garbage can for extra points! FUN!
~Hope This Helps! <3
4 0
3 years ago
Given the set of integers one through 12 what is the probability choosing an odd number or a number greater than nine
snow_lady [41]

Answer:

1/4

Step-by-step explanation:

the numbers greater than nine are: 10,11,12

1,3,5,7,9

So that is nine numbers

9/12 can be simplified to 3/4 if you divide by 3

if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close

7 0
2 years ago
12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
kicyunya [14]

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

6 0
3 years ago
Mr John leased two thousand fifty meter square of land from the city administration. He gave one eighth of his land to his broth
slamgirl [31]

Answer:

1793.75 m²

Step-by-step explanation:

Given that :

Total amount of land leased = 2050 m²

Fraction of land given to brother = 1/8

Amount of land given to brother :

1/8 * 2050 = 256.25 m²

Amount of land left :

2050 m² - 256.25 m²

= 1793.75 m²

8 0
2 years ago
Graph the inequality 2x + y &gt; 4 and shade the correct solution set.
Tcecarenko [31]

Answer:

shouldn't there be a pictures with this Question

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Does the equation y=-1/3x1/3 form a straight line
    8·1 answer
  • Heather has a bag with 9 marbles, 9 tennis balls, 10 apples, and 2 books. What is the ratio of books to tennis balls?
    7·1 answer
  • Lines a and b are parallel and lines e and f are parallel.<br><br><br><br> What is the value of x?
    6·2 answers
  • A card is drawn at random out of a​ well-shuffled deck of 52 cards. Find the probability of drawing a six comma seven comma or e
    13·1 answer
  • A 6 pound ham will serve 14 people. How many people will a 9 pound ham serve? Set up a proportion and solve.
    10·1 answer
  • HELP I NEED HELP ASAP
    8·1 answer
  • A company sold 3,000 computers in one month, but 12 were returned. If 3,500 were sold the next month, the company would expect 1
    9·2 answers
  • Two soccer balls are simultaneously kicked on parallel paths, from 15 feet apart on level ground. After 0.1 second, the balls ar
    14·2 answers
  • A 6 pack of soda costs $3.60. What is the unit rate for one bottle of soda?
    5·2 answers
  • J=(7x+13) K=(83-2x) and the sum of the measures of the angles is 141. What is the measure of each angle
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!