Answer:
The perimeter of the polygon is 
Step-by-step explanation:
we know that
The perimeter is the sum of the length sides of the polygon
In this problem
P=XY+YZ+XZ
the formula to calculate the distance between two points is equal to
step 1
Find the distance XY
we have
X(−1, 3), Y(3, 0)
substitute
step 2
Find the distance YZ
we have
Y(3, 0), Z(−1,−2)
substitute
step 3
Find the distance XZ
we have
X(−1, 3), Z(−1,−2)
substitute
step 4
Find the perimeter
P=XY+YZ+XZ
Answer: 8π mm (in terms of π)
Step-by-step explanation:
1) The formulas for solving the circumference of a circle is πd (π times diameter).
2) 8 times π equals 8π mm.
Hopes this helps!
Answer:
14.6cm
Step-by-step explanation:
The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.
Hope this helps!
Answer:
Step-by-step explanation:
To find an expression equivalent, we can simply distribute the 
:
Answer:
Step-by-step explanation:
we know that
The formula to calculate the coordinates of the midpoint between two points is equal to
we have that
The coordinates of diagonal WY are
substitute in the formula to calculate the midpoint
