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]
2 years ago
7

Will mark most brainlest if correct

Mathematics
1 answer:
lutik1710 [3]2 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
Rory's number is 0.3 larger than Lori's number, and the sum of their numbers is 13. What is ten times Lori's number multiplied b
SashulF [63]

Answer:

256032

Step-by-step explanation:

13-.03 is 12.7

12.7 x 10= 127

127 x 2016= 256032

Weird question, but I hope this helps!

3 0
2 years ago
Find the difference.<br> -7-(-5)
Dvinal [7]

Answer:

Remember: minus a minus is a plus:

=11

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Before conducting some experiments, a scientist mixes 1/2 gram of Substance A with 3/4 grams of Substance B. If the scientist us
Tju [1.3M]

Answer: 10

<u>Step-by-step explanation:</u>

 (\frac{1}{2}+\frac{3}{4})÷\frac{1}{8}

= (\frac{1}{2}(\frac{2}{2})+\frac{3}{4})÷\frac{1}{8}

= (\frac{2}{4}+\frac{3}{4})÷\frac{1}{8}

= (\frac{5}{4})÷\frac{1}{8}

= (\frac{5}{4})x\frac{8}{1}

= \frac{40}{4}

= 10

4 0
3 years ago
What linear equation is represented by the table? 1
rewona [7]

Answer:

Y=4x-2

Step-by-step explanation:

You have to try it (x,y) (2,6)

y=4x-2

6=4(2)-2

6=8-2

8 0
3 years ago
How do I convert 1 5/6 into a decimal??????
zavuch27 [327]

Answer:

1.8(3) (three is a repeating number)

Step-by-step explanation:

Divide the numerator from the denominator. Add the value of the integer part.

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the missing reason in step 5? Statements Reasons 1. ABCD is a kite 1. given 2. AB ≅ BC, BP ⊥ AC 2. definition of kite 3.
    14·2 answers
  • A family has five children. The probability of having a girl is 2 What is the probability of having no girls? Round the answer t
    8·1 answer
  • Guysss I need help!!
    11·2 answers
  • 3(-4x+8) in distributive property
    5·2 answers
  • All paper money in the united states is the same size no matter what the value is paper money has an area of about 16.86 square
    8·1 answer
  • Monica works in a clothing store. Her monthly pay is $800. She also receives 5% commission on all her sales. She had $35,748 in
    12·2 answers
  • Conver 3/7 into a percent. round to two decimal places.
    15·2 answers
  • 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
    11·2 answers
  • Area of circle =<br> 12 x square units<br> 36 y square units<br> 6 Square units
    5·1 answer
  • Using the quadratic formula, which of the following are the zeros of the
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!