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:
Part 1) 1,560 words
Part 2) 161 miles
Step-by-step explanation:
Part 1) 130 words in 5 mins. How many words in an hour?
Remember that
so
using proportion
Find out how many words in 60 minutes (one hour)
Part 2) 322 miles in 2 hours. How many miles in 60 minutes?
Remember that
so
using proportion
Find out how many miles in 60 minutes
Answer:
c
Step-by-step explanation:
If you substitute a variable for each blank, for example x*2+x*3 you get 5x=12, which can then be solved to get that x=12/5, so 12/5 is the answer.
Answer:
128
Step-by-step explanation:
length*depth*height=Volume
8 * 4 * 4 =V
8*4*4=V
8*16=V
128=V
