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.
Two less than the quotient of a number cubed and four, increased by eight
six times the difference of five and a number squared;
Answer:
x = 22
Step-by-step explanation:
line AD is 180°
so 40° + (5x + 30°) = 180°
solve for x.
5x = 180-30-40
5x= 110
x = 110/5
x= 22
Answer:
174 CM²
Step-by-step explanation:
First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)
We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24
There are 2 triangles therefore we get 2*24 which is 48 CM²
Now we calculate the area of the rectangles (7·10=70, 8·7=56)
Finally we add up all the numbers (70+56+48=174 CM²)
Therefore the surface area of the triangular prism is 174 CM², respectively.
Answer:
The dad is 2/8 of a foot taller than his mom.
Step-by-step explanation:
