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.
So k=katie's' age
m=mara's age
k is 2 times as old as m
k=2m
sum is 24
add means sum
k+m=24
so we have
k+m=24 and
k=2m
subsitute
2m+m=24
add
3m=24
divide both sides by 3
m=8
subsitute again
k=2m
k=2(8)
k=16
katie=16
mara=8
Answer:
83
Step-by-step explanation:
Let the number of robbers be x
If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5
In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.
Equating these two
7x-8=6x+5
Arranging similar terms
7x-6x=8+5
x=13
Therefore, the robbers are 13
The rolla they have will be
6(13)+5=83
Or
7(13)-8=83
Answer:
Term and Coefficcent
Step-by-step explanation:
Required expression is x/9 - 7
