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:
x=23
Step-by-step explanation:
Hello There!
Remember the exterior angle of a triangle is equal to the opposite interior angles of a triangle
so
137-x=2x+3x-1
now we can solve for x
step 1 combine like terms
2x+3x=5x
now we have
137-x=5x-1
step 2 add 1 to each side
-1+1 cancels out
137+1=138
138-x=5x
step 2 add x to each side
-x+x cancels out
5x+x=6x
now we have
138=6x
step 3 divide each side by 6
6x/6=x
138/6=23
we´re left with x=23
Answer:
i don't know this question but you can just measure it
<span>For more difficult cases, it may be easier to draw the graph first using the domain if possible and then determine the range graphically.See if you can find the inverse function. The domain of a function's inverse function is equal to that function's range.<span>Check to see if the function repeats.</span></span>
56,000??
If you mean 56,000 then the nearest thousand is 56,000
