A pizza slice is in the shape of a circular sector OAB, with the central angle 0 = 50 deg and a radius of 7cm. 0 A B В Find the perimeter of the pizza slice. (no answer)

The perimeter of the pizza slice is 20.1 cm

Step-by-step explanation:

Perimeter of a Sector of a Circle

The arc length of a sector of a circle of radius r and angle θ is given by:

L = rθ

The angle must be expressed in radians.

The total perimeter of the circular sector, including the two radii, is:

P = rθ + 2r

The pizza slice has a radius of r=7 cm and a central angle of θ=50°

Converting to radians:

The perimeter is:

Calculating:

P = 20.1 cm

The perimeter of the pizza slice is 20.1 cm

There are two ways to look at this:

If someone is a mole, negate their proposition:

Jackson(mole) "Max is not a mole"
Max(mole) "Gregory is not a mole"
Gregory(mole) "Max is not lying"

Looking at it this way their are two options, either Max is a mole, or Jackson and Gregory are both moles.

To find out for certainty, we must go at a maximum with no contradictions, meaning one agent and two moles:

Jackson(mole) "Max is a mole"
Max(mole) "Gregory is a mole"
Gregory(agent) "Max is lying"

This is a contradiction because if Gregory is telling the truth, and Jackson is lying, then Gregory and Max are not moles

Jackson(mole) "Max is a mole"
Max(agent) "Gregory is a mole"
Gregory(mole) "Max is lying"

This works because if Jackson and Gregory are both moles, then Max is telling the truth and is not a mole, and Max states Gregory is a mole which is again true

Jackson(agent) "Max is a mole"
Max(mole) "Gregory is a mole"
Gregory(mole) "Max is lying"

This is also a contradiction since Max says Gregory is a mole, and in this case he is, Max would be telling the truth, but to our knowledge the moles are lying.

Therefore Jackson and Gregory are moles