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
Pls help ASAP will mark Brainlyest!!
Alika [10]

Answer:

312cm2

Step-by-step explanation:

Area of the triangles:

A =1/2bh

A=1/2(10*12) = 1/2*120=60.

There are two triangles. 60*2=120. 120 is the area of both triangles.

Area of the rectangle:

16*12=192.

120+192=312cm2

3 0
2 years ago
Read 2 more answers
Solve for x or find x ​
Varvara68 [4.7K]
X=9
Prove
9+27=36
4(9)=36
3 0
3 years ago
What is 2x times x squared?
tresset_1 [31]

We want to multiply the monomial 2x by the monomial 2x^2.

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: (a^m)(a^n)=a^{m+n}, (x^2)(x^4)=x^{2+4}=x^6. Also, is worth pointing out that the exponent of a variable with no exponent is 1: x=x^1.

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so x=1x. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

(2x)(x^2)=(2x^1)(1x^2)=2*1x^{1+2}=2x^3

We can conclude that 2x times x squared is 2x cubed.



3 0
3 years ago
Read 2 more answers
Allie bought a 5-pound bag of trail mix. She gave 12 ounces of trail mix to Justin. Then she put the rest of the trail mix into
trapecia [35]
To solve this problem, you will first want to convert 5 pounds into ounces. To do this, first determine how many ounces is in 1 pound.

There are 16 ounces in 1 pound, so to convert 5 pounds into ounces, you simply have to multiply 5 × 16. This will give you 80 ounces total.

Allie give 12 ounces away, so you must first subtract 12 ounces from your total (80 ounces). 80 - 12 gives us 68 ounces.

Allie then divides the trail mix up into 4 ounce portions. To figure out how many small bags she can make, you simply divide your new total (68 ounces) by 4. 

68 ÷ 4 = 17

Allie made 17 small bags. 
3 0
3 years ago
If 7x + 5 = -2, find the value of 8x
kolbaska11 [484]

Answer:

-8

Step-by-step explanation:

you add 5 to -7 to get -2

7 x -1 is -7

so x = -1

8 x -1 = -8

6 0
3 years ago
Other questions:
  • Find the 43rd term of the sequence 13.1,3.1,-6.9,-16.9,
    15·2 answers
  • Samuel’s father is four years older than double Samuel’s age. their age difference is 22 years. how old are they
    13·1 answer
  • What is the value of n. 6(x – 1) = 9(x + 2)
    10·2 answers
  • How do you solve 9n+4=5n+18 and what is the answer
    7·2 answers
  • What is the value of 5^4/5^6
    11·2 answers
  • Which fraction is the simplest form of<br> 148<br> ——<br> 264
    7·2 answers
  • What's the answer???
    5·1 answer
  • What the area of 7.6km and 5km
    14·1 answer
  • ★PLSSSSS HELPPPPPPPPP★
    13·2 answers
  • Five times a number is 16 less than thirteen times the same number. Find the number.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!