Answer:
Option (2)
Step-by-step explanation:
By applying tangent rule in the given right triangle,
tan(42°) = 
tan(42°) = 
Width = 
Width = 6.67
Therefore, width of the given triangle is 6.67 units.
Option (2) is the correct option.
Step-by-step explanation:
First, find the vector.
= (4,2) - (-3,5)
= (4-(-3),2-5)
= (7,-3)
And then, find the distance.
= √(7² + (-3)²)
= √(49 + 9)
= √58 ✓
Answer:
g(x) = - x-2, therefore g(3) = - 3-2, or in better terms, g(3) = -5
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
i.
= √(3 + 4i)
= 2 + i
ii.
= √(-8 + 6i)
= √2(-4 + 3i)
iii.
= √(-40 - 42i)
= √-2(20 + 21i)
iv.
= √i
= √i
v.
= 
= 
You can calculate the area of the whole pizza according to the formula: S=1/2*π*r². And the area of 8 piece is 1/8S while the area of 12 piece is 1/12S. The answer should be 1/8S-1/12S=4/3π.