Answer:
7m
Step-by-step explanation:
P=a+b+c+d
31=6+8+10+d
31=24+d
31-24=d
7=d
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.
let
x = the number of party favors in each of the 27 boxes
y = the number of party favors in the last box
the total number of party favors is 1,552
27x + y = 1,552
since 1552 = 57*27 + 13
if we assume that y<x we conclude that there are 57 party favors in each of the 27 boxes and 13 party favors in the last box.
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
A, B, and D are the correct answers.
Given:

Solution:
Complex formula:

Let us simplify one by one.


|3 + 4i| = 5


|3 - 4i| = 5


|-3 + 4i| = 5


|-3 - 4i| = 5
Substitute these in the given expression:


The solution of the expression is 20.