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
marshall27 [118]
3 years ago
7

Will mark most brainlest if correct

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Answer: each guest gets 4.19 cm²

Step-by-step explanation:

The cake is a circle. The area which he cuts for himself is a sector with a central angle of 120 degrees. The formula for determining the area of a sector is expressed as

Area of sector = θ/360 × πr²

Where

θ represents the central angle

π is a constant whose value is 3.14

r represents the radius of the circle.

From the diagram,

r = 4cm

Therefore, area of the cake that he cut for himself is

120/360 × 3.14 × 4²

= 16.75 cm²

The total area of the cake is

3.14 × 4² = 50.24 cm²

Therefore, the rest of the cake is

50.24 - 16.75 = 33.49 cm²

The amount that each guest gets would be

33.49/8 = 4.19 cm²

You might be interested in
Someone plsss help - find x ​
Leokris [45]

Answer:

96 + 150 + 2x + x = 360⁰

240 + 3x = 360⁰

3x = 120

x = 40⁰ hope it's help you

7 0
2 years ago
Read 2 more answers
What must be added to 12x3
qwelly [4]

Answer:

+3x + 7 to make the sum x3

Step-by-step explanation:

to find the sum of 3 and to solve it to get the value of x

3 0
2 years ago
2x - 1 = 0 is a quadratic equation. <br> True False
harina [27]
I believe the answer is false

Hope this helps
6 0
3 years ago
Read 2 more answers
Which shows one way to determine the factors of x^3-12x^2-2x+24
SashulF [63]
Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
=(x-12)(x-√2)(x+√2)


8 0
3 years ago
If 2/9 of the students in a school are in 6th grade, then how
sveticcg [70]

Answer:

231

Step-by-step explanation:

\frac{2}{9} =\frac{42}{x}

42÷2= 21

9×21= 189

189 students total

42 6th graders

5 0
3 years ago
Read 2 more answers
Other questions:
  • members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.
    7·1 answer
  • 30 is 6 times greather than
    8·1 answer
  • Helpppppppppppppppppppppppppp
    15·1 answer
  • PLEASE SOME ONE HELP <br><br> find the values of x and y <br> step by step if possible
    11·1 answer
  • 50 POINTS!!!! PLEASE HELLPPP!!!
    10·1 answer
  • A large diamond with a mass of 2138.7 grams was recently discovered in a mine. If the density of the diamond is 3.51 grams over
    12·1 answer
  • 1/20 + x = 1/10 what is the value of x
    10·1 answer
  • To create a graph from an equation, evaluate the function at different ______. Use the input-output pairs to identify and plot _
    11·1 answer
  • Zahra is anxious to save money on her utility bills and knows that changing the temperature of the water when she does laundry c
    5·1 answer
  • What is the solution to the equation StartFraction y Over y minus 4 EndFraction minus StartFraction 4 Over y + 4 EndFraction = S
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!