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
In a deck of cards, there are always four of each card. There are also 13 cards in each suit. This means that the probability is 13+4/52 which is <span>17/52
</span>:)
Answer:
20.9 %, it is more than the national population 13.6%.
Step-by-step explanation:
Total number of persons = 220
died number of persons = 46
The percentage of died persons

So, it is more than the national population of 13.6 %.
The length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
<h3>What is a distance formula?</h3>
It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:

We have two points C(0, 3) and D(0, 8)
The distance between these two points:
d = √(8-3)²
d = 5 units
The length of the image of segments CD = dilation factor×length of CD
= 2×5
= 10 units
Thus, the length of the image of the segment CD is 10 units if the segment CD has endpoints at C(0, 3) and D(0, 8).
Learn more about the distance formula here:
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