Answer:
The area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²
Step-by-step explanation:
Given : A regular hexagon with an apothem 10.4 yards long and side 12 yards long.
We have to find the area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long.
Since, the Given hexagon is a regular hexagon.
So, each side make equal angle with mid point.
Thus, Area of each triangle = 
base = 12 yards
height = 10.4 yards.
Thus, Area of each triangle = 
Since, there are 6 triangles.
so area of hexagon = 6 × Area of triangle
area of hexagon = 6 × 62.4 = 124.8 yards²
Thus, The area of a regular hexagon with an apothem 10.4 yards long and side 12 yards long is 124.80 yards²
1: 19 (4x+25=6x -13, solve for x, 25+13=6x-13, 38=2x, x=19, 4(19)+25=101 6(19)-13+101)
2: 23 (3x-8=2x+15)
3: Madison has $59 and Saul has $31 (together they have $90 so divided by 2 and you get 45, Madison has 6 dollars more so subtract 6 from Saul and ad 6 to Madison, make sure that when you ad them you get $90)
4 : 5 weeks ($3 each week, so you multiply 3x5 and get 15. 15+57=72 but the problem says more then so maybe it’s 6 weeks cause that’s $75)
5: 10 weeks (he has 1,800 and needs 2,150, subtract 1,800 from 2,150 for how much he needs. You get 350. He needs that and he makes 35 a week so that would be 350 divided by 35, which is 10)
6:20 miles (it’s 2.25 for that’s first mile. He spent 6.05 so subtract 2.25 from 6.05 and you get 3.80, 3.80 divided by 0.20 is 19, then you need to add that first mile and it’s 20)
7: 6 figures in a complete set (Charlie starts out with 2 and Patrick starts out with 20 individual figures. Charlie has 6 sets and Patrick has 3, i multiplied the number of sets they had by 6 then added their individual figures until they numbers matched up)
8: an orange has 45 calories and an apple has 75 calories (5x-150=3x, 5x-3x= -2x, -2x divided by -150 = 75, 75-30 is 45. 75 is the apple and because it’s 30 more you subtract 30 for orange)
If f (x) = -x + 3
Then f (-3) = -(-3) + 3
f (-3) = 3 + 3
f (-3) = 6
Hope this helps!
Answer:
D, A, B, C
Step-by-step explanation:
D is the smallest number, then it goes A, then B and C is the highest as it is a positive number.
hope this helps!
Answer:
185 boxes
Step-by-step explanation:
simple multiplication/divisoin
