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.
Answer:
42.86%
Explanation:
First, we subtract the two numbers.
42 - 24 = 18
Now we divide this to the original number.
18 / 42 = 0.4285714286
Multiply by 100:
42.85714286
So, the percent increase is approximately 42.86%
Answer:
x=
3
/2
Step-by-step explanation:
12(5x−4.5)=36
(12)(5x)+(12)(−4.5)=36(Distribute)
60x+−54=36
60x−54=36
Step 2: Add 54 to both sides.
60x−54+54=36+54
60x=90
Step 3: Divide both sides by 60.
60x
60
=
90
/60
x=
3
/2
There are no factors of 20 that add up to 7.
Factors of 20 are:
1*20
2*10
4*5