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:
Step-by-step explanation:
Remark
An angle bisector sets up a triangle ratio that looks like the following proportion.
3x - 3 5x
====== = ====== Cross multiply
24 44
44*(3x-3) = 24*5x Remove the brackets on the left
132x - 132 = 24*5x Combine the right side
132x - 132 = 120x Add 132 to both sides
132x = 120x + 132 Subtract 120x from both sides
132x- 120x = 132 Combine
12x = 132 Divide by 12
x = 11
Answer:
[-8,8]
Step-by-step explanation:
domain is the set of x values that the graph covers
This graph starts at -8 and ends at 8 (including those points and all points between them).
That makes the domain [-8,8]
Answer:
i believe is is 3/2
Step-by-step explanation:
as y goes up 30 x goes over 20
30/20 simplified is 3/2