What will the radius of your cake be?
This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.
How many slices will you be able to cut?
The total area of a circle is given by:

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

Finally, we will be able to cut:

Slices
Answer:

Step-by-step explanation:
lol brainlessly...
General Circle function:
, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.
The radius of the circle is half the diameter so: 8 / 2 = 4
The x-coordinate of the circle is 5
The y-coordinate of the circle is -2
Plug in.


Your answer is incorrect. You forgot to get the square root of 25 and 4. Answer should be 16√2
we can only subtract radicals that are the same. At first glance, 4√50 - 2√8 are not the same, so they are not likely to be subtracted. However, each radical can still be simplified.
4 √50 = 4 √25 * 2 = 4 * 5 √2 = 20 √2
2 √8 = 2 √4 * 2 = 2 * 2 √2 = 4 √2
Now that the radicals are the same. then you can subtract the numbers.
20 √2 - 4 √2 = 16√2
Answer:
Length:8 m
Width:3 m
Step-by-step explanation:
<u><em>The complete question is</em></u>
If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.
step 1
<em>Perimeter of rectangle</em>
we know that
The perimeter of rectangle is equal to

we have

so

Simplify
-----> equation A
step 2
Perimeter of triangle
The perimeter of triangle is equal to


so

Multiply by 2 both sides

----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (8,3)
see the attached figure
therefore
The dimensions of the rectangle are
Length:8 m
Width:3 m
Answer:
288
Step-by-step explanation:
The volume of the cube is 0.5^3 = 0.125, and the volume of the rectangular prism is 4*3*3 = 36.
Now, you just divide 36 by 0.125, which is 288.
I hope this helped.