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
Answer:
huhhh??
Step-by-step explanation:
i didn't unxerstand the question
Using proportions, it is found that the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion of <u>pizza places per person</u> in each block of the town is given as follows:
- North: 32/(221 x 15) = 0.0096 < 1.
- South: 28/(22 x 150) = 0.0084 < 1.
Both proportions are less than 0.01, hence the Pretty Pizza Company should open a new pizza place at any of the North or the South blocks.
More can be learned about proportions at brainly.com/question/24372153
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Mixed number is a whole number and a fraction in the same number such as
2 2/3
