Step-by-step explanation:
first of all, your teacher wrote nonsense in the answer options : an area is always given in squared units. never in cubed units (which would be volume).
the area is : 1/2 × perimeter × apothem
the perimeter is simply 12 × 5 = 60 meters.
apothem = (a/2)×cot(pi/12) = 5/2 × cot(pi/12) =
= 9.330127019... meters
so the area is
1/2 × 60 × 9.330127019... = 279.9038106... m²
therefore, the third answer option is correct (although it is m², and not m³).
by the way, you have question 3 wrong. I answered this with the correct apothem calculation in the explanation for question 4.
The first blank is 69 degrees
A = 5, -10
B = 1, 8
C = 5, -7
Answer
Find out the what is the value of x when y = 8 .
To prove
As given
The variables y and x have a proportional relationship.
y = kx
Where k is the constant of proportionality.
As y = 5 when x = 4
Put in the above
5 = 4k
Now find out the value of x , when y = 8
x= 6.5
Therefore when y = 8 than x = 6.4
